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lock-width="true"> <f family="Arial CYR" charset="204" size="14"> <inlineAttr line-through="false"> <c val="#f00">Лабораторна робота №1</c> </inlineAttr> </f> <f size="12"> Дослідження поля вектору напруженості електричного поля системи точкових зарядів </f> </text> </region> <region region-id="116" left="24" top="93" width="31.5" height="12.75" align-x="37.5" align-y="102" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedBIUnit" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">N</ml:id> <ml:real>30</ml:real> </ml:define> </math> <rendering item-idref="2"/> </region> <region region-id="813" left="120" top="107.25" width="403.5" height="47.25" align-x="120" align-y="120" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f size="14">Вхідні дані для розрахунку </f> <f size="14">Задайте величину, знак зарядів qi та їхнє розташування в площині Х0Y згідно з варіантом.</f> </text> </region> <region region-id="117" left="24" top="117" width="38.25" height="12.75" align-x="34.5" align-y="126" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">x</ml:id> <ml:range> <ml:real>0</ml:real> <ml:id xml:space="preserve">N</ml:id> </ml:range> </ml:define> </math> <rendering item-idref="3"/> </region> <region region-id="840" left="24" top="135" width="38.25" height="12.75" align-x="34.5" align-y="144" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> 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show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f size="12">Обчислення одиничних векторів для кожного заряду. Річ у тім, що для того, щоб зобразити векторне поле на площині в маткаді, потрібно задати матрицю, розмір якої відповідатиме кількості дискретних точок площини, а кожне значення цієї матриці має бути комплексним числом. Таким чином, ми для кожної точки визначаємо напрямок, подібно до того, як звичайне комплексне число відображається вектором на комплексній площині. А далі, щоб відобразити це поле, потрібно вибрати тип графіка Vector Field.</f> </text> </region> <region region-id="854" left="36" top="392.25" width="171" height="27.75" align-x="65.25" align-y="408" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">n1</ml:id> <ml:sequence> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">y</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:minus/> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">x</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve">N</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve">q1x</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:imag symbol="i">1</ml:imag> <ml:parens> <ml:apply> <ml:minus/> <ml:apply> <ml:minus/> <ml:id 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xml:space="preserve">E</ml:id> </ml:sequence> <ml:placeholder/> </ml:matrix> </inputs> <outputs/> </component> </region> <region region-id="817" left="6" top="335.25" width="305.25" height="15.75" align-x="6" align-y="348" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f size="14">Вектор напруженості та еквіпотенційні лінії поля</f> </text> </region> </area> <rendering item-idref="61"/> </region> <region region-id="834" left="0" top="1530" width="6008.25" align-x="0" align-y="1530" show-border="false" show-highlight="true" is-protected="false" z-order="0" background-color="#80ff80" tag="" height="428.25"> <area is-collapsed="true" name="ДИВИРГЕНЦІЯ ПОЛЯ" show-name="true" show-border="true" show-icon="true" show-timestamp="true" allow-expand="false" is-locked="false" timestamp="" top-lock-id="438" bottom-lock-id="440"> <region region-id="441" left="18" 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show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f size="14">Так обчислюються похідні</f> </text> </region> <region region-id="754" left="18" top="45" width="282" height="33" align-x="56.25" align-y="66" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">divE</ml:id> <ml:sequence> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">y</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:div/> <ml:apply> <ml:minus/> <ml:apply> <ml:id xml:space="preserve">Re</ml:id> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Ed</ml:id> <ml:sequence> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">y</ml:id> </ml:sequence> </ml:apply> </ml:apply> <ml:apply> <ml:id xml:space="preserve">Re</ml:id> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Ed</ml:id> <ml:sequence> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">x</ml:id> <ml:real>1</ml:real> </ml:apply> <ml:id xml:space="preserve">y</ml:id> </ml:sequence> </ml:apply> </ml:apply> </ml:apply> <ml:real>1</ml:real> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:minus/> <ml:apply> <ml:id xml:space="preserve">Im</ml:id> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Ed</ml:id> <ml:sequence> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">y</ml:id> </ml:sequence> </ml:apply> </ml:apply> <ml:apply> <ml:id xml:space="preserve">Im</ml:id> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Ed</ml:id> <ml:sequence> <ml:id xml:space="preserve">x</ml:id> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">y</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:sequence> </ml:apply> </ml:apply> </ml:apply> <ml:real>1</ml:real> </ml:apply> </ml:apply> </ml:define> </math> </region> <region region-id="830" left="312" top="71.25" width="416.25" height="15.75" align-x="312" align-y="84" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial" charset="0" size="14"> <inlineAttr line-through="false">Дивергенця показує розподіл зарядів на площіні</inlineAttr> </f> <f family="Arial" charset="0"> <inlineAttr line-through="false">.</inlineAttr> </f> </text> </region> <region region-id="757" left="36" top="93" width="38.25" height="12.75" align-x="46.5" align-y="102" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">x</ml:id> <ml:range> <ml:real>0</ml:real> <ml:id xml:space="preserve">N</ml:id> </ml:range> </ml:define> </math> </region> <region region-id="758" left="36" top="111" width="39.75" height="12.75" align-x="48" align-y="120" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">y</ml:id> <ml:range> <ml:real>0</ml:real> <ml:id xml:space="preserve">N</ml:id> </ml:range> </ml:define> </math> </region> <region region-id="451" left="30" top="159" width="87" height="18" align-x="68.25" align-y="168" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">divE</ml:id> <ml:sequence> <ml:id xml:space="preserve">x</ml:id> <ml:id 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z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f size="14"> <inlineAttr font-style="normal">Обчислити роботу поля з переміщення заряду по шляху в кожній точці та в цілому</inlineAttr> </f> </text> </region> <region region-id="725" left="24" top="1563" width="90.75" height="12.75" align-x="42" align-y="1572" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Ax</ml:id> <ml:apply> <ml:id xml:space="preserve">round</ml:id> <ml:apply> <ml:id xml:space="preserve">rnd</ml:id> <ml:real>30</ml:real> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="64"/> </region> <region region-id="726" left="144" top="1563" width="34.5" height="12.75" align-x="160.5" align-y="1572" show-border="false" show-highlight="false" 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xml:space="preserve">round</ml:id> <ml:apply> <ml:id xml:space="preserve">rnd</ml:id> <ml:real>30</ml:real> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="70"/> </region> <region region-id="732" left="360" top="1581" width="39" height="12.75" align-x="376.5" align-y="1590" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">By</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>11</ml:real> </result> </ml:eval> </math> <rendering item-idref="71"/> </region> <region region-id="733" left="24" top="1611" width="89.25" height="12.75" align-x="40.5" align-y="1620" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Cx</ml:id> <ml:apply> <ml:id xml:space="preserve">round</ml:id> <ml:apply> <ml:id xml:space="preserve">rnd</ml:id> <ml:real>30</ml:real> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="72"/> </region> <region region-id="734" left="144" top="1611" width="37.5" height="12.75" align-x="159" align-y="1620" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Cx</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>25</ml:real> </result> </ml:eval> </math> <rendering item-idref="73"/> </region> <region region-id="735" left="240" top="1611" width="90" height="12.75" align-x="257.25" align-y="1620" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Dx</ml:id> <ml:apply> <ml:id xml:space="preserve">round</ml:id> <ml:apply> <ml:id xml:space="preserve">rnd</ml:id> <ml:real>30</ml:real> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="74"/> </region> <region region-id="736" left="360" top="1611" width="33.75" height="12.75" align-x="375.75" align-y="1620" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Dx</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>5</ml:real> </result> </ml:eval> </math> <rendering item-idref="75"/> </region> <region region-id="737" left="24" top="1629" width="90.75" height="12.75" align-x="42" align-y="1638" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Cy</ml:id> <ml:apply> <ml:id xml:space="preserve">round</ml:id> <ml:apply> <ml:id xml:space="preserve">rnd</ml:id> <ml:real>30</ml:real> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="76"/> </region> <region region-id="738" left="144" top="1629" width="39" height="12.75" align-x="160.5" align-y="1638" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Cy</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>21</ml:real> </result> </ml:eval> </math> <rendering item-idref="77"/> </region> <region region-id="739" left="240" top="1629" width="91.5" height="12.75" align-x="258.75" align-y="1638" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Dy</ml:id> <ml:apply> <ml:id xml:space="preserve">round</ml:id> <ml:apply> <ml:id xml:space="preserve">rnd</ml:id> <ml:real>30</ml:real> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="78"/> </region> <region region-id="740" left="360" top="1629" width="35.25" height="12.75" align-x="377.25" align-y="1638" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Dy</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>9</ml:real> </result> </ml:eval> </math> <rendering item-idref="79"/> </region> <region region-id="831" left="0" top="1728" width="6008.25" align-x="0" align-y="1728" show-border="false" show-highlight="true" is-protected="false" z-order="0" background-color="#80ff80" tag="" height="332.25"> <area is-collapsed="true" name="РОЗРАХУНОК РОБОТИ ПОЛЯ" show-name="true" show-border="true" show-icon="true" show-timestamp="true" allow-expand="false" is-locked="false" timestamp="" top-lock-id="554" bottom-lock-id="556"> <region region-id="557" left="24" top="9" width="24.75" height="12.75" align-x="36" align-y="18" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">q</ml:id> <ml:real>1</ml:real> </ml:define> </math> </region> <region region-id="821" left="342" top="5.25" width="402.75" height="15.75" align-x="342.75" align-y="18" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f size="14">r1, r2, r3, r4 - це радіус вектор заряду q1,q2,q3,q4</f> </text> </region> <region region-id="558" left="24" top="33" width="42" height="12.75" align-x="46.5" align-y="42" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">A1x</ml:id> <ml:id xml:space="preserve">Ax</ml:id> </ml:define> </math> </region> <region region-id="559" left="96" top="33" width="40.5" height="12.75" align-x="118.5" align-y="42" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">A2x</ml:id> <ml:id xml:space="preserve">Bx</ml:id> </ml:define> </math> </region> <region region-id="560" left="174" top="33" width="40.5" height="12.75" align-x="196.5" align-y="42" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">A3x</ml:id> <ml:id xml:space="preserve">Cx</ml:id> </ml:define> </math> </region> <region region-id="561" left="252" top="33" width="41.25" height="12.75" align-x="274.5" align-y="42" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">A4x</ml:id> <ml:id xml:space="preserve">Dx</ml:id> </ml:define> </math> </region> <region region-id="822" left="342" top="29.25" width="255.75" height="15.75" align-x="344.25" align-y="42" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f size="14">q - це значеня з таблиці варіантів</f> </text> </region> <region region-id="562" left="24" top="51" width="45" height="12.75" align-x="48" align-y="60" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">A1y</ml:id> <ml:id xml:space="preserve">Ay</ml:id> </ml:define> </math> </region> <region region-id="563" left="96" top="51" width="43.5" height="12.75" align-x="120" align-y="60" show-border="false" 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<ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:placeholder/> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </math> </region> <region region-id="483" left="36" top="519" width="38.25" height="12.75" align-x="46.5" align-y="528" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">x</ml:id> <ml:range> <ml:real>2</ml:real> <ml:id xml:space="preserve">N</ml:id> </ml:range> </ml:define> </math> </region> <region region-id="484" left="42" top="537" width="39.75" height="12.75" align-x="54" align-y="546" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">y</ml:id> <ml:range> <ml:real>2</ml:real> <ml:id xml:space="preserve">N</ml:id> </ml:range> </ml:define> </math> </region> <region region-id="824" left="156" top="569.25" width="399.75" height="15.75" align-x="156" align-y="582" show-border="true" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f size="14">Другі частні похідні потенціалу поля.</f> </text> </region> <region region-id="471" left="24" top="603" width="205.5" height="33" align-x="62.25" align-y="624" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">divE</ml:id> <ml:sequence> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">y</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:div/> <ml:apply> <ml:minus/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Ex</ml:id> <ml:sequence> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">y</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Ex</ml:id> <ml:sequence> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">x</ml:id> <ml:real>1</ml:real> </ml:apply> <ml:id xml:space="preserve">y</ml:id> </ml:sequence> </ml:apply> </ml:apply> <ml:real>1</ml:real> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:minus/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Ey</ml:id> <ml:sequence> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">y</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Ey</ml:id> <ml:sequence> <ml:id xml:space="preserve">x</ml:id> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">y</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:sequence> </ml:apply> </ml:apply> <ml:real>1</ml:real> </ml:apply> </ml:apply> </ml:define> </math> </region> <region region-id="749" left="72" top="657" width="38.25" height="12.75" align-x="82.5" align-y="666" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">x</ml:id> <ml:range> <ml:real>0</ml:real> <ml:id xml:space="preserve">N</ml:id> </ml:range> </ml:define> </math> </region> <region region-id="750" left="72" top="675" width="39.75" height="12.75" align-x="84" align-y="684" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">y</ml:id> <ml:range> <ml:real>0</ml:real> <ml:id xml:space="preserve">N</ml:id> </ml:range> </ml:define> </math> </region> <region region-id="472" left="66" top="711" width="87" height="18" align-x="104.25" align-y="720" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">divE</ml:id> <ml:sequence> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">y</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:absval/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">divE</ml:id> <ml:sequence> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">y</ml:id> </ml:sequence> </ml:apply> </ml:apply> </ml:define> </math> </region> <region region-id="473" left="120" top="744" width="210.75" height="212.25" align-x="224.25" align-y="744" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <component hide-arguments="false" clsid-buddy="013500E0-1122-11DB-9380-000D56C6051A" item-idref="82" disable-calc="false"> <inputs> <ml:id xml:space="preserve" xmlns:ml="http://schemas.mathsoft.com/math30">divE</ml:id> </inputs> <outputs/> </component> </region> </area> <rendering item-idref="83"/> </region> <region region-id="833" left="0" top="1824" width="6008.25" align-x="0" align-y="1824" show-border="false" show-highlight="true" is-protected="false" z-order="0" background-color="#00ff80" tag="" height="1220.25"> <area is-collapsed="true" name="ДРУГА ЧАСТИНА" show-name="true" show-border="true" show-icon="true" show-timestamp="true" allow-expand="false" is-locked="false" timestamp="" top-lock-id="605" bottom-lock-id="607"> <region region-id="825" left="72" top="23.25" width="482.25" height="15.75" align-x="72" align-y="36" show-border="true" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f size="14">За заданим потенціалом необхідно знайти породжуване його поле</f> </text> </region> <region region-id="637" left="18" top="39" width="38.25" height="12.75" align-x="28.5" align-y="48" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">x</ml:id> <ml:range> <ml:real>0</ml:real> <ml:id xml:space="preserve">N</ml:id> </ml:range> </ml:define> </math> </region> <region region-id="638" left="18" top="57" width="39.75" height="12.75" align-x="30" align-y="66" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">y</ml:id> <ml:range> <ml:real>0</ml:real> <ml:id xml:space="preserve">N</ml:id> </ml:range> </ml:define> </math> </region> <region region-id="611" left="12" top="111" width="84.75" height="18" align-x="37.5" align-y="120" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">P</ml:id> <ml:sequence> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">y</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">x</ml:id> <ml:apply> <ml:id xml:space="preserve">cos</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>0.3</ml:real> <ml:id xml:space="preserve">y</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> </region> <region region-id="612" left="12" top="150" width="181.5" height="204" align-x="102" align-y="150" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <component hide-arguments="false" clsid-buddy="013500E0-1122-11DB-9380-000D56C6051A" item-idref="84" disable-calc="false"> <inputs> <ml:id xml:space="preserve" xmlns:ml="http://schemas.mathsoft.com/math30">P</ml:id> </inputs> <outputs/> </component> </region> <region region-id="642" left="30" top="369" width="38.25" height="12.75" align-x="40.5" align-y="378" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">x</ml:id> <ml:range> <ml:real>1</ml:real> <ml:id xml:space="preserve">N</ml:id> </ml:range> </ml:define> </math> </region> <region region-id="643" left="30" top="387" width="39.75" height="12.75" align-x="42" align-y="396" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">y</ml:id> <ml:range> <ml:real>1</ml:real> <ml:id xml:space="preserve">N</ml:id> </ml:range> </ml:define> </math> </region> <region region-id="614" left="18" top="411" width="106.5" height="33" align-x="48" align-y="432" show-border="true" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Ex</ml:id> <ml:sequence> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">y</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:neg/> <ml:apply> <ml:div/> <ml:apply> <ml:minus/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">P</ml:id> <ml:sequence> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">y</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">P</ml:id> <ml:sequence> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">x</ml:id> <ml:real>1</ml:real> </ml:apply> <ml:id xml:space="preserve">y</ml:id> </ml:sequence> </ml:apply> </ml:apply> <ml:real>1</ml:real> </ml:apply> </ml:apply> </ml:define> </math> </region> <region region-id="615" left="162" top="411" width="108" height="33" align-x="193.5" align-y="432" show-border="true" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Ey</ml:id> <ml:sequence> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">y</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:neg/> <ml:apply> <ml:div/> <ml:apply> <ml:minus/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">P</ml:id> <ml:sequence> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">y</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">P</ml:id> <ml:sequence> <ml:id xml:space="preserve">x</ml:id> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">y</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:sequence> </ml:apply> </ml:apply> <ml:real>1</ml:real> </ml:apply> </ml:apply> </ml:define> </math> </region> <region region-id="744" left="30" top="447" width="38.25" height="12.75" align-x="40.5" align-y="456" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">x</ml:id> <ml:range> <ml:real>0</ml:real> <ml:id xml:space="preserve">N</ml:id> </ml:range> </ml:define> </math> </region> <region region-id="745" left="30" top="465" width="39.75" height="12.75" align-x="42" align-y="474" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">y</ml:id> <ml:range> <ml:real>0</ml:real> <ml:id xml:space="preserve">N</ml:id> </ml:range> </ml:define> </math> </region> <region region-id="616" left="18" top="489" width="105.75" height="18" align-x="44.25" align-y="498" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">E</ml:id> <ml:sequence> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">y</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Ex</ml:id> <ml:sequence> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">y</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:mult/> <ml:imag symbol="i">1</ml:imag> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Ey</ml:id> <ml:sequence> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">y</ml:id> </ml:sequence> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> </region> <region region-id="617" left="24" top="513" width="66" height="38.25" align-x="50.25" align-y="534" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">E</ml:id> <ml:sequence> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">y</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">E</ml:id> <ml:sequence> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">y</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:absval/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">E</ml:id> <ml:sequence> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">y</ml:id> </ml:sequence> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> </region> <region region-id="620" left="168" top="558" width="210.75" height="212.25" align-x="272.25" align-y="558" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <component hide-arguments="false" clsid-buddy="013500E0-1122-11DB-9380-000D56C6051A" item-idref="85" disable-calc="false"> <inputs> <ml:id xml:space="preserve" xmlns:ml="http://schemas.mathsoft.com/math30">E</ml:id> </inputs> <outputs/> </component> </region> <region region-id="826" left="36" top="599.25" width="117" height="31.5" align-x="36" align-y="612" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f size="14">Поле заданого потенціалу</f> </text> </region> <region region-id="623" left="18" top="789" width="38.25" height="12.75" align-x="28.5" align-y="798" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">x</ml:id> <ml:range> <ml:real>2</ml:real> <ml:id xml:space="preserve">N</ml:id> </ml:range> </ml:define> </math> </region> <region region-id="624" left="24" top="807" width="39.75" height="12.75" align-x="36" align-y="816" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">y</ml:id> <ml:range> <ml:real>2</ml:real> <ml:id xml:space="preserve">N</ml:id> </ml:range> </ml:define> </math> </region> <region region-id="626" left="6" top="837" width="205.5" height="33" align-x="44.25" align-y="858" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">divE</ml:id> <ml:sequence> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">y</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:div/> <ml:apply> <ml:minus/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Ex</ml:id> <ml:sequence> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">y</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Ex</ml:id> <ml:sequence> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">x</ml:id> <ml:real>1</ml:real> </ml:apply> <ml:id xml:space="preserve">y</ml:id> </ml:sequence> </ml:apply> </ml:apply> <ml:real>1</ml:real> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:minus/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Ey</ml:id> <ml:sequence> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">y</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Ey</ml:id> <ml:sequence> <ml:id xml:space="preserve">x</ml:id> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">y</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:sequence> </ml:apply> </ml:apply> <ml:real>1</ml:real> </ml:apply> </ml:apply> </ml:define> </math> </region> <region region-id="764" left="60" top="885" width="38.25" height="12.75" align-x="70.5" align-y="894" show-border="false" show-highlight="false" is-protected="true" z-order="0" 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show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f size="12">Обчислення одиничних векторів для кожного заряду. Річ у тім, що для того, щоб зобразити векторне поле на площині в маткаді, потрібно задати матрицю, розмір якої відповідатиме кількості дискретних точок площини, а кожне значення цієї матриці має бути комплексним числом. Таким чином, ми для кожної точки визначаємо напрямок, подібно до того, як звичайне комплексне число відображається вектором на комплексній площині. А далі, щоб відобразити це поле, потрібно вибрати тип графіка Vector Field.</f> </text> </region> <region region-id="854" left="36" top="392.25" width="171" height="27.75" align-x="65.25" align-y="408" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">n1</ml:id> <ml:sequence> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">y</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:minus/> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">x</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve">N</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve">q1x</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:imag symbol="i">1</ml:imag> <ml:parens> <ml:apply> <ml:minus/> <ml:apply> <ml:minus/> <ml:id 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поле</inlineAttr> </f> </text> </region> </area> <rendering item-idref="55"/> </region> <region region-id="835" left="0" top="1500" width="6008.25" align-x="0" align-y="1500" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#80ff80" tag="" height="548.25"> <area is-collapsed="true" name="ПОТЕНЦІАЛ ПОЛЯ" show-name="true" show-border="true" show-icon="true" show-timestamp="true" allow-expand="false" is-locked="false" timestamp="" top-lock-id="420" bottom-lock-id="422"> <region region-id="423" left="36" top="8.25" width="119.25" height="33" align-x="67.5" align-y="24" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">U1</ml:id> <ml:sequence> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">y</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:div/> <ml:id xml:space="preserve">q1</ml:id> <ml:apply> <ml:plus/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>4</ml:real> <ml:id xml:space="preserve">π</ml:id> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">r1</ml:id> <ml:sequence> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">y</ml:id> </ml:sequence> </ml:apply> </ml:apply> <ml:real>100</ml:real> </ml:apply> </ml:apply> </ml:define> </math> </region> <region region-id="424" left="168" top="8.25" width="119.25" height="33" align-x="199.5" align-y="24" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">U2</ml:id> <ml:sequence> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">y</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:div/> <ml:id xml:space="preserve">q2</ml:id> <ml:apply> <ml:plus/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>4</ml:real> <ml:id xml:space="preserve">π</ml:id> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">r2</ml:id> <ml:sequence> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">y</ml:id> </ml:sequence> </ml:apply> </ml:apply> <ml:real>100</ml:real> </ml:apply> </ml:apply> </ml:define> </math> </region> <region region-id="425" left="294" top="8.25" width="119.25" height="33" align-x="325.5" align-y="24" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">U3</ml:id> <ml:sequence> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">y</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:div/> <ml:id xml:space="preserve">q3</ml:id> <ml:apply> <ml:plus/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>4</ml:real> <ml:id xml:space="preserve">π</ml:id> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">r3</ml:id> <ml:sequence> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">y</ml:id> </ml:sequence> </ml:apply> </ml:apply> <ml:real>100</ml:real> </ml:apply> </ml:apply> </ml:define> </math> </region> <region region-id="426" left="426" top="8.25" width="119.25" height="33" align-x="457.5" align-y="24" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">U4</ml:id> <ml:sequence> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">y</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:div/> <ml:id xml:space="preserve">q4</ml:id> <ml:apply> <ml:plus/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>4</ml:real> <ml:id xml:space="preserve">π</ml:id> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">r4</ml:id> <ml:sequence> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">y</ml:id> </ml:sequence> </ml:apply> </ml:apply> <ml:real>100</ml:real> </ml:apply> </ml:apply> </ml:define> </math> </region> <region region-id="427" left="42" top="51" width="102.75" height="12.75" align-x="55.5" align-y="60" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">U</ml:id> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">U1</ml:id> <ml:id xml:space="preserve">U2</ml:id> </ml:apply> <ml:id xml:space="preserve">U3</ml:id> </ml:apply> <ml:id xml:space="preserve">U4</ml:id> </ml:apply> </ml:define> </math> </region> <region region-id="428" left="426" top="84" width="181.5" height="204" align-x="516" align-y="84" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <component hide-arguments="false" clsid-buddy="013500E0-1122-11DB-9380-000D56C6051A" item-idref="56" disable-calc="false"> <inputs> <ml:matrix rows="1" cols="2" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:sequence> <ml:id xml:space="preserve">U3</ml:id> <ml:id xml:space="preserve">E3</ml:id> </ml:sequence> <ml:placeholder/> </ml:matrix> </inputs> <outputs/> </component> </region> <region region-id="429" left="630" top="84" width="181.5" height="204" align-x="720" align-y="84" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <component hide-arguments="false" clsid-buddy="013500E0-1122-11DB-9380-000D56C6051A" item-idref="57" disable-calc="false"> <inputs> <ml:matrix rows="1" cols="2" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:sequence> <ml:id xml:space="preserve">U4</ml:id> <ml:id xml:space="preserve">E4</ml:id> </ml:sequence> <ml:placeholder/> </ml:matrix> </inputs> <outputs/> </component> </region> <region region-id="430" left="12" top="90" width="181.5" height="204" align-x="102" align-y="90" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <component hide-arguments="false" clsid-buddy="013500E0-1122-11DB-9380-000D56C6051A" item-idref="58" disable-calc="false"> <inputs> <ml:matrix rows="1" cols="2" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:sequence> <ml:id xml:space="preserve">U1</ml:id> <ml:id xml:space="preserve">E1</ml:id> </ml:sequence> <ml:placeholder/> </ml:matrix> </inputs> <outputs/> </component> </region> <region region-id="431" left="228" top="90" width="181.5" height="204" align-x="318" align-y="90" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <component hide-arguments="false" clsid-buddy="013500E0-1122-11DB-9380-000D56C6051A" item-idref="59" disable-calc="false"> <inputs> <ml:matrix rows="1" cols="2" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:sequence> <ml:id xml:space="preserve">U2</ml:id> <ml:id xml:space="preserve">E2</ml:id> </ml:sequence> <ml:placeholder/> </ml:matrix> </inputs> <outputs/> </component> </region> <region region-id="432" left="312" top="312" width="181.5" height="204" align-x="402" align-y="312" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <component hide-arguments="false" clsid-buddy="013500E0-1122-11DB-9380-000D56C6051A" item-idref="60" disable-calc="false"> <inputs> <ml:matrix rows="1" cols="2" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:sequence> <ml:id xml:space="preserve">U</ml:id> <ml:id xml:space="preserve">E</ml:id> </ml:sequence> <ml:placeholder/> </ml:matrix> </inputs> <outputs/> </component> </region> <region region-id="817" left="6" top="335.25" width="305.25" height="15.75" align-x="6" align-y="348" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f size="14">Вектор напруженості та еквіпотенційні лінії поля</f> </text> </region> </area> <rendering item-idref="61"/> </region> <region region-id="834" left="0" top="1530" width="6008.25" align-x="0" align-y="1530" show-border="false" show-highlight="true" is-protected="false" z-order="0" background-color="#80ff80" tag="" height="428.25"> <area is-collapsed="true" name="ДИВИРГЕНЦІЯ ПОЛЯ" show-name="true" show-border="true" show-icon="true" show-timestamp="true" allow-expand="false" is-locked="false" timestamp="" top-lock-id="438" bottom-lock-id="440"> <region region-id="441" left="18" top="9" width="38.25" height="12.75" align-x="28.5" align-y="18" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">x</ml:id> <ml:range> <ml:real>1</ml:real> <ml:id xml:space="preserve">N</ml:id> </ml:range> </ml:define> </math> </region> <region region-id="442" left="24" top="27" width="39.75" height="12.75" align-x="36" align-y="36" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">y</ml:id> <ml:range> <ml:real>1</ml:real> <ml:id xml:space="preserve">N</ml:id> </ml:range> </ml:define> </math> </region> <region region-id="793" left="312" top="41.25" width="252.75" height="15.75" align-x="312" align-y="54" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f size="14">Так обчислюються похідні</f> </text> </region> <region region-id="754" left="18" top="45" width="282" height="33" align-x="56.25" align-y="66" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">divE</ml:id> <ml:sequence> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">y</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:div/> <ml:apply> <ml:minus/> <ml:apply> <ml:id xml:space="preserve">Re</ml:id> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Ed</ml:id> <ml:sequence> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">y</ml:id> </ml:sequence> </ml:apply> </ml:apply> <ml:apply> <ml:id xml:space="preserve">Re</ml:id> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Ed</ml:id> <ml:sequence> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">x</ml:id> <ml:real>1</ml:real> </ml:apply> <ml:id xml:space="preserve">y</ml:id> </ml:sequence> </ml:apply> </ml:apply> </ml:apply> <ml:real>1</ml:real> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:minus/> <ml:apply> <ml:id xml:space="preserve">Im</ml:id> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Ed</ml:id> <ml:sequence> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">y</ml:id> </ml:sequence> </ml:apply> </ml:apply> <ml:apply> <ml:id xml:space="preserve">Im</ml:id> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Ed</ml:id> <ml:sequence> <ml:id xml:space="preserve">x</ml:id> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">y</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:sequence> </ml:apply> </ml:apply> </ml:apply> <ml:real>1</ml:real> </ml:apply> </ml:apply> </ml:define> </math> </region> <region region-id="830" left="312" top="71.25" width="416.25" height="15.75" align-x="312" align-y="84" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial" charset="0" size="14"> <inlineAttr line-through="false">Дивергенця показує розподіл зарядів на площіні</inlineAttr> </f> <f family="Arial" charset="0"> <inlineAttr line-through="false">.</inlineAttr> </f> </text> </region> <region region-id="757" left="36" top="93" width="38.25" height="12.75" align-x="46.5" align-y="102" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">x</ml:id> <ml:range> <ml:real>0</ml:real> <ml:id xml:space="preserve">N</ml:id> </ml:range> </ml:define> </math> </region> <region region-id="758" left="36" top="111" width="39.75" height="12.75" align-x="48" align-y="120" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">y</ml:id> <ml:range> <ml:real>0</ml:real> <ml:id xml:space="preserve">N</ml:id> </ml:range> </ml:define> </math> </region> <region region-id="451" left="30" top="159" width="87" height="18" align-x="68.25" align-y="168" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">divE</ml:id> <ml:sequence> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">y</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:absval/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">divE</ml:id> <ml:sequence> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">y</ml:id> </ml:sequence> </ml:apply> </ml:apply> </ml:define> </math> </region> <region region-id="444" left="114" top="180" width="181.5" height="204" align-x="204" align-y="180" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <component hide-arguments="false" clsid-buddy="013500E0-1122-11DB-9380-000D56C6051A" item-idref="62" disable-calc="false"> <inputs> <ml:id xml:space="preserve" xmlns:ml="http://schemas.mathsoft.com/math30">divE</ml:id> </inputs> <outputs/> </component> </region> </area> <rendering item-idref="63"/> </region> <region region-id="818" left="24" top="1535.25" width="601.5" height="15.75" align-x="24" align-y="1548" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f size="14"> <inlineAttr font-style="normal">Обчислити роботу поля з переміщення заряду по шляху в кожній точці та в цілому</inlineAttr> </f> </text> </region> <region region-id="725" left="24" top="1563" width="90.75" height="12.75" align-x="42" align-y="1572" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Ax</ml:id> <ml:apply> <ml:id xml:space="preserve">round</ml:id> <ml:apply> <ml:id xml:space="preserve">rnd</ml:id> <ml:real>30</ml:real> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="64"/> </region> <region region-id="726" left="144" top="1563" width="34.5" height="12.75" align-x="160.5" align-y="1572" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Ax</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>0</ml:real> </result> </ml:eval> </math> <rendering item-idref="65"/> </region> <region region-id="727" left="240" top="1563" width="89.25" height="12.75" align-x="256.5" align-y="1572" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Bx</ml:id> <ml:apply> <ml:id xml:space="preserve">round</ml:id> <ml:apply> <ml:id xml:space="preserve">rnd</ml:id> <ml:real>30</ml:real> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="66"/> </region> <region region-id="728" left="360" top="1563" width="33" height="12.75" align-x="375" align-y="1572" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Bx</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>6</ml:real> </result> </ml:eval> </math> <rendering item-idref="67"/> </region> <region region-id="729" left="24" top="1581" width="92.25" height="12.75" align-x="43.5" align-y="1590" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Ay</ml:id> <ml:apply> <ml:id xml:space="preserve">round</ml:id> <ml:apply> <ml:id xml:space="preserve">rnd</ml:id> <ml:real>30</ml:real> </ml:apply> 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show-timestamp="true" allow-expand="false" is-locked="false" timestamp="" top-lock-id="579" bottom-lock-id="458"> <region region-id="823" left="240" top="11.25" width="207" height="15.75" align-x="240" align-y="24" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f size="14">Частні похідні потенціалу поля.</f> </text> </region> <region region-id="760" left="30" top="39" width="38.25" height="12.75" align-x="40.5" align-y="48" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">x</ml:id> <ml:range> <ml:real>1</ml:real> <ml:id xml:space="preserve">N</ml:id> </ml:range> </ml:define> </math> </region> <region region-id="761" left="30" top="57" width="39.75" height="12.75" 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<ml:indexer/> <ml:id xml:space="preserve">Ex</ml:id> <ml:sequence> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">y</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:mult/> <ml:imag symbol="i">1</ml:imag> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Ey</ml:id> <ml:sequence> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">y</ml:id> </ml:sequence> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> </region> <region region-id="477" left="30" top="225" width="66" height="38.25" align-x="56.25" align-y="246" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">E</ml:id> <ml:sequence> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">y</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">E</ml:id> <ml:sequence> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">y</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:absval/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">E</ml:id> <ml:sequence> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">y</ml:id> </ml:sequence> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> </region> <region region-id="468" left="150" top="270" width="210.75" height="212.25" align-x="254.25" align-y="270" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <component hide-arguments="false" clsid-buddy="013500E0-1122-11DB-9380-000D56C6051A" item-idref="81" disable-calc="false"> <inputs> <ml:id xml:space="preserve" xmlns:ml="http://schemas.mathsoft.com/math30">E</ml:id> </inputs> <outputs/> </component> </region> <region region-id="482" left="12" top="495" width="505.5" height="12.75" align-x="266.25" align-y="504" 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<ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:placeholder/> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </math> </region> <region region-id="483" left="36" top="519" width="38.25" height="12.75" align-x="46.5" align-y="528" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">x</ml:id> <ml:range> <ml:real>2</ml:real> <ml:id xml:space="preserve">N</ml:id> </ml:range> </ml:define> </math> </region> <region region-id="484" left="42" top="537" width="39.75" height="12.75" align-x="54" align-y="546" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">y</ml:id> <ml:range> <ml:real>2</ml:real> <ml:id xml:space="preserve">N</ml:id> </ml:range> </ml:define> </math> </region> <region region-id="824" left="156" top="569.25" width="399.75" height="15.75" align-x="156" align-y="582" show-border="true" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f size="14">Другі частні похідні потенціалу поля.</f> </text> </region> <region region-id="471" left="24" top="603" width="205.5" height="33" align-x="62.25" align-y="624" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">divE</ml:id> <ml:sequence> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">y</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:div/> <ml:apply> <ml:minus/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Ex</ml:id> <ml:sequence> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">y</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Ex</ml:id> <ml:sequence> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">x</ml:id> <ml:real>1</ml:real> </ml:apply> <ml:id xml:space="preserve">y</ml:id> </ml:sequence> </ml:apply> </ml:apply> <ml:real>1</ml:real> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:minus/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Ey</ml:id> <ml:sequence> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">y</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">Ey</ml:id> <ml:sequence> <ml:id xml:space="preserve">x</ml:id> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">y</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:sequence> </ml:apply> </ml:apply> <ml:real>1</ml:real> </ml:apply> </ml:apply> </ml:define> </math> </region> <region region-id="749" left="72" top="657" width="38.25" height="12.75" align-x="82.5" align-y="666" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">x</ml:id> <ml:range> <ml:real>0</ml:real> <ml:id xml:space="preserve">N</ml:id> </ml:range> </ml:define> </math> </region> <region region-id="750" left="72" top="675" width="39.75" height="12.75" align-x="84" align-y="684" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">y</ml:id> <ml:range> <ml:real>0</ml:real> <ml:id xml:space="preserve">N</ml:id> </ml:range> </ml:define> </math> </region> <region region-id="472" left="66" top="711" width="87" height="18" align-x="104.25" align-y="720" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">divE</ml:id> <ml:sequence> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">y</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:absval/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">divE</ml:id> <ml:sequence> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">y</ml:id> </ml:sequence> </ml:apply> </ml:apply> </ml:define> </math> </region> <region region-id="473" left="120" top="744" width="210.75" height="212.25" align-x="224.25" align-y="744" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <component hide-arguments="false" clsid-buddy="013500E0-1122-11DB-9380-000D56C6051A" item-idref="82" disable-calc="false"> <inputs> <ml:id xml:space="preserve" xmlns:ml="http://schemas.mathsoft.com/math30">divE</ml:id> </inputs> <outputs/> </component> </region> </area> <rendering item-idref="83"/> </region> <region region-id="833" left="0" top="1824" width="6008.25" align-x="0" align-y="1824" show-border="false" show-highlight="true" is-protected="false" z-order="0" background-color="#00ff80" tag="" height="1220.25"> <area is-collapsed="true" name="ДРУГА ЧАСТИНА" show-name="true" show-border="true" show-icon="true" show-timestamp="true" allow-expand="false" is-locked="false" timestamp="" top-lock-id="605" bottom-lock-id="607"> <region region-id="825" left="72" top="23.25" width="482.25" height="15.75" align-x="72" align-y="36" show-border="true" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f size="14">За заданим потенціалом необхідно знайти породжуване його поле</f> </text> </region> <region region-id="637" left="18" top="39" width="38.25" height="12.75" align-x="28.5" align-y="48" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">x</ml:id> <ml:range> <ml:real>0</ml:real> <ml:id xml:space="preserve">N</ml:id> </ml:range> </ml:define> </math> </region> <region region-id="638" left="18" top="57" width="39.75" height="12.75" align-x="30" align-y="66" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">y</ml:id> <ml:range> <ml:real>0</ml:real> <ml:id xml:space="preserve">N</ml:id> </ml:range> </ml:define> </math> </region> <region region-id="611" left="12" top="111" width="84.75" height="18" align-x="37.5" align-y="120" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">P</ml:id> <ml:sequence> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">y</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">x</ml:id> <ml:apply> <ml:id xml:space="preserve">cos</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>0.3</ml:real> <ml:id xml:space="preserve">y</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> </region> <region region-id="612" left="12" top="150" width="181.5" height="204" align-x="102" align-y="150" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <component hide-arguments="false" clsid-buddy="013500E0-1122-11DB-9380-000D56C6051A" item-idref="84" disable-calc="false"> <inputs> <ml:id xml:space="preserve" xmlns:ml="http://schemas.mathsoft.com/math30">P</ml:id> </inputs> <outputs/> </component> </region> <region region-id="642" left="30" top="369" width="38.25" height="12.75" align-x="40.5" align-y="378" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">x</ml:id> <ml:range> <ml:real>1</ml:real> <ml:id xml:space="preserve">N</ml:id> </ml:range> </ml:define> </math> </region> <region region-id="643" left="30" 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