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push-down="false" 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 family="Arial CYR" charset="204" size="14"> <inlineAttr line-through="false">Дослідження основних законів електростатики</inlineAttr> </f> </text> </region> <region region-id="116" left="24" top="99" width="31.5" height="12.75" align-x="38.25" align-y="108" 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="113.25" width="403.5" height="47.25" align-x="120" align-y="126" 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="123" width="38.25" height="12.75" align-x="34.5" align-y="132" 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="349" left="30" top="141" width="39.75" height="12.75" align-x="42" align-y="150" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" 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xml:space="preserve">q4x</ml:id> <ml:real>0</ml:real> </ml:define> </math> <rendering item-idref="15"/> </region> <region region-id="196" left="558" top="249" width="34.5" height="12.75" align-x="579.75" align-y="258" show-border="true" show-highlight="true" is-protected="true" z-order="0" background-color="#80ff00" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">q4y</ml:id> <ml:real>0</ml:real> </ml:define> </math> <rendering item-idref="16"/> </region> <region region-id="838" left="0" top="285" width="6008.25" align-x="0" align-y="285" 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 НАПРУЖНОСТІ ПОЛІВ" show-name="true" show-border="true" show-icon="true" show-timestamp="true" allow-expand="false" is-locked="false" timestamp="" top-lock-id="161" bottom-lock-id="164"> <region 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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="354" left="264" top="118.5" width="172.5" height="27.75" align-x="294" align-y="134.25" 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">n2</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">q2x</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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background-color="inherit" tag=""> <component hide-arguments="false" clsid-buddy="013500E0-1122-11DB-9380-000D56C6051A" item-idref="31" disable-calc="false"> <inputs> <ml:id xml:space="preserve" xmlns:ml="http://schemas.mathsoft.com/math30">E3</ml:id> </inputs> <outputs/> </component> </region> <region region-id="405" left="672" top="62.25" width="181.5" height="204" align-x="762" align-y="62.25" 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="32" disable-calc="false"> <inputs> <ml:id xml:space="preserve" xmlns:ml="http://schemas.mathsoft.com/math30">E4</ml:id> </inputs> <outputs/> </component> </region> <region region-id="406" left="348" top="281.25" width="66" height="38.25" align-x="374.25" align-y="302.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math 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<component hide-arguments="false" clsid-buddy="013500E0-1122-11DB-9380-000D56C6051A" item-idref="33" 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="495" left="114" top="418.5" width="63.75" height="12" align-x="114" align-y="428.25" 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 family="Arial CYR" charset="204"> <inlineAttr line-through="false">Сумарне поле</inlineAttr> </f> </text> </region> </area> <rendering item-idref="34"/> </region> <region region-id="835" left="0" top="718.5" width="6008.25" align-x="0" align-y="718.5" 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="10.5" width="107.25" height="33" align-x="67.5" align-y="26.25" 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> 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item-idref="35" 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="86.25" width="181.5" height="204" align-x="720" align-y="86.25" 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="36" 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="92.25" width="181.5" height="204" align-x="102" align-y="92.25" 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="37" 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="92.25" width="181.5" height="204" align-x="318" align-y="92.25" 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="38" 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="314.25" width="181.5" height="204" align-x="402" align-y="314.25" 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="39" 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="337.5" width="305.25" height="15.75" align-x="6" align-y="350.25" 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="40"/> </region> <region region-id="834" left="0" top="747" width="6008.25" align-x="0" align-y="747" 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="11.25" width="38.25" height="12.75" align-x="28.5" align-y="20.25" 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="29.25" width="39.75" height="12.75" align-x="36" align-y="38.25" 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="43.5" width="252.75" height="15.75" align-x="312" align-y="56.25" 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="47.25" width="282" height="33" align-x="56.25" align-y="68.25" 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lock-width="true"> <f family="Arial CYR" charset="204" size="14"> <inlineAttr line-through="false">Дивергенця показує розподіл зарядів на площіні</inlineAttr> </f> <f family="Arial CYR" charset="204"> <inlineAttr line-through="false">.</inlineAttr> </f> </text> </region> <region region-id="757" left="36" top="95.25" width="38.25" height="12.75" align-x="46.5" align-y="104.25" 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="113.25" width="39.75" height="12.75" align-x="48" align-y="122.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" 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top="949.5" width="6008.25" align-x="0" align-y="949.5" 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="11.25" width="24.75" height="12.75" align-x="36" align-y="20.25" 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="7.5" width="402.75" height="15.75" align-x="342.75" align-y="20.25" 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="35.25" width="42" height="12.75" align-x="46.5" align-y="44.25" 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="35.25" width="40.5" height="12.75" align-x="118.5" align-y="44.25" 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 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align-x="344.25" align-y="44.25" 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="53.25" width="45" height="12.75" align-x="48" align-y="62.25" 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="53.25" width="43.5" height="12.75" align-x="120" align-y="62.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define 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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="571.5" width="399.75" height="15.75" align-x="156" align-y="584.25" 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="605.25" width="205.5" height="33" align-x="62.25" align-y="626.25" 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="659.25" width="38.25" height="12.75" align-x="82.5" align-y="668.25" 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="677.25" width="39.75" height="12.75" align-x="84" align-y="686.25" 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="713.25" width="87" height="18" align-x="104.25" align-y="722.25" 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="746.25" width="210.75" height="212.25" align-x="224.25" align-y="746.25" 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="61" 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="62"/> </region> <region region-id="833" left="0" top="1045.5" width="6008.25" align-x="0" align-y="1045.5" 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="25.5" width="482.25" height="15.75" align-x="72" align-y="38.25" 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="41.25" width="38.25" height="12.75" align-x="28.5" align-y="50.25" 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="59.25" width="39.75" height="12.75" align-x="30" align-y="68.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> 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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="515.25" width="66" height="38.25" align-x="50.25" align-y="536.25" 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="560.25" width="210.75" height="212.25" align-x="272.25" align-y="560.25" 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="64" disable-calc="false"> <inputs> <ml:id xml:space="preserve" xmlns:ml="http://schemas.mathsoft.com/math30">E</ml:id> </inputs> <outputs/> </component> </region> 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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="123" width="38.25" height="12.75" align-x="34.5" align-y="132" 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="349" left="30" top="141" width="39.75" height="12.75" align-x="42" align-y="150" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" 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xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">q2</ml:id> <ml:real>-1</ml:real> </ml:define> </math> <rendering item-idref="6"/> </region> <region region-id="587" left="330" top="219" width="29.25" height="12.75" align-x="346.5" align-y="228" show-border="true" show-highlight="true" is-protected="true" z-order="0" background-color="#80ff00" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">q3</ml:id> <ml:real>0</ml:real> </ml:define> </math> <rendering item-idref="7"/> </region> <region region-id="194" left="492" top="219" width="29.25" height="12.75" align-x="508.5" align-y="228" show-border="true" show-highlight="true" is-protected="true" z-order="0" background-color="#80ff00" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">q4</ml:id> <ml:real>0</ml:real> </ml:define> </math> <rendering item-idref="8"/> </region> <region region-id="68" left="30" top="249" width="33" height="12.75" align-x="50.25" align-y="258" show-border="true" show-highlight="true" is-protected="true" z-order="0" background-color="#80ff00" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">q1x</ml:id> <ml:real>0</ml:real> </ml:define> </math> <rendering item-idref="9"/> </region> <region region-id="123" left="96" top="249" width="34.5" height="12.75" align-x="117.75" align-y="258" show-border="true" show-highlight="true" is-protected="true" z-order="0" background-color="#80ff00" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">q1y</ml:id> <ml:real>0</ml:real> </ml:define> </math> <rendering item-idref="10"/> </region> <region region-id="585" left="186" top="249" width="37.5" height="12.75" align-x="206.25" align-y="258" show-border="true" show-highlight="true" is-protected="true" z-order="0" background-color="#80ff00" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">q2x</ml:id> <ml:real>10</ml:real> </ml:define> </math> <rendering item-idref="11"/> </region> <region region-id="586" left="252" top="249" width="39" height="12.75" align-x="273.75" align-y="258" show-border="true" show-highlight="true" is-protected="true" z-order="0" background-color="#80ff00" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">q2y</ml:id> <ml:real>15</ml:real> </ml:define> </math> <rendering item-idref="12"/> </region> <region region-id="588" left="330" top="249" width="33" height="12.75" align-x="350.25" align-y="258" show-border="true" show-highlight="true" is-protected="true" z-order="0" background-color="#80ff00" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">q3x</ml:id> <ml:real>0</ml:real> </ml:define> </math> <rendering item-idref="13"/> </region> <region region-id="590" left="384" top="249" width="34.5" height="12.75" align-x="405.75" align-y="258" show-border="true" show-highlight="true" is-protected="true" z-order="0" background-color="#80ff00" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">q3y</ml:id> <ml:real>0</ml:real> </ml:define> </math> <rendering item-idref="14"/> </region> <region region-id="195" left="492" top="249" width="33" height="12.75" align-x="512.25" align-y="258" show-border="true" show-highlight="true" is-protected="true" z-order="0" background-color="#80ff00" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">q4x</ml:id> <ml:real>0</ml:real> </ml:define> </math> <rendering item-idref="15"/> </region> <region region-id="196" left="558" top="249" width="34.5" height="12.75" align-x="579.75" align-y="258" show-border="true" show-highlight="true" is-protected="true" z-order="0" background-color="#80ff00" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">q4y</ml:id> <ml:real>0</ml:real> </ml:define> </math> <rendering item-idref="16"/> </region> <region region-id="838" left="0" top="285" width="6008.25" align-x="0" align-y="285" 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 НАПРУЖНОСТІ ПОЛІВ" show-name="true" show-border="true" show-icon="true" show-timestamp="true" allow-expand="false" is-locked="false" timestamp="" top-lock-id="161" bottom-lock-id="164"> <region region-id="799" left="24" top="9" width="504" height="81" align-x="24" align-y="20.25" 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="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="354" left="264" top="118.5" width="172.5" height="27.75" align-x="294" align-y="134.25" 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">n2</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">q2x</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">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 xml:space="preserve">y</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">q1y</ml:id> </ml:apply> </ml:parens> </ml:apply> </ml:apply> </ml:define> </math> </region> <region region-id="362" left="492" top="124.5" width="172.5" height="27.75" align-x="522" align-y="140.25" 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">n3</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 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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:div/> <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:absval/> <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:apply> </ml:define> </math> </region> <region region-id="363" left="492" top="161.25" width="73.5" height="38.25" align-x="522" align-y="182.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define 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<component hide-arguments="false" clsid-buddy="013500E0-1122-11DB-9380-000D56C6051A" item-idref="33" 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="495" left="114" top="418.5" width="63.75" height="12" align-x="114" align-y="428.25" 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 family="Arial CYR" charset="204"> <inlineAttr line-through="false">Сумарне поле</inlineAttr> </f> </text> </region> </area> <rendering item-idref="34"/> </region> <region region-id="835" left="0" top="718.5" width="6008.25" align-x="0" align-y="718.5" 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="10.5" width="107.25" height="33" align-x="67.5" align-y="26.25" 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="10.5" width="107.25" height="33" align-x="199.5" align-y="26.25" 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="10.5" width="107.25" height="33" align-x="325.5" align-y="26.25" 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="10.5" width="107.25" height="33" align-x="457.5" align-y="26.25" 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="53.25" width="102.75" height="12.75" align-x="55.5" align-y="62.25" 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="86.25" width="181.5" height="204" align-x="516" align-y="86.25" 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="35" 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="86.25" width="181.5" height="204" align-x="720" align-y="86.25" 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="36" 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="92.25" width="181.5" height="204" align-x="102" align-y="92.25" 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="37" 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="92.25" width="181.5" height="204" align-x="318" align-y="92.25" 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="38" 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="314.25" width="181.5" height="204" align-x="402" align-y="314.25" 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="39" 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="337.5" width="305.25" height="15.75" align-x="6" align-y="350.25" 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="40"/> </region> <region region-id="834" left="0" top="747" width="6008.25" align-x="0" align-y="747" 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="11.25" width="38.25" height="12.75" align-x="28.5" align-y="20.25" 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="29.25" width="39.75" height="12.75" align-x="36" align-y="38.25" 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="43.5" width="252.75" height="15.75" align-x="312" align-y="56.25" 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="47.25" width="282" height="33" align-x="56.25" align-y="68.25" 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="73.5" width="416.25" height="15.75" align-x="312" align-y="86.25" 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 CYR" charset="204" size="14"> <inlineAttr line-through="false">Дивергенця показує розподіл зарядів на площіні</inlineAttr> </f> <f family="Arial CYR" charset="204"> <inlineAttr line-through="false">.</inlineAttr> </f> </text> </region> <region region-id="757" left="36" top="95.25" width="38.25" height="12.75" align-x="46.5" align-y="104.25" 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="113.25" width="39.75" height="12.75" align-x="48" align-y="122.25" 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="161.25" width="87" height="18" align-x="68.25" align-y="170.25" 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="182.25" width="181.5" height="204" align-x="204" align-y="182.25" 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="41" 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="42"/> </region> <region region-id="818" left="24" top="753.75" width="601.5" height="15.75" align-x="24" align-y="766.5" 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="781.5" width="90.75" height="12.75" align-x="42" align-y="790.5" 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="43"/> </region> <region region-id="726" left="144" top="781.5" width="34.5" height="12.75" align-x="160.5" align-y="790.5" 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"> 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left="240" top="13.5" width="207" height="15.75" align-x="240" align-y="26.25" 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="41.25" width="38.25" height="12.75" align-x="40.5" align-y="50.25" 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="59.25" width="39.75" height="12.75" align-x="42" align-y="68.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" 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</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="521.25" width="38.25" height="12.75" align-x="46.5" align-y="530.25" 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="539.25" width="39.75" height="12.75" align-x="54" align-y="548.25" 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="571.5" width="399.75" height="15.75" align-x="156" align-y="584.25" 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="605.25" width="205.5" height="33" align-x="62.25" align-y="626.25" 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="659.25" width="38.25" height="12.75" align-x="82.5" align-y="668.25" 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="677.25" width="39.75" height="12.75" align-x="84" align-y="686.25" 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="713.25" width="87" height="18" align-x="104.25" align-y="722.25" 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="746.25" width="210.75" height="212.25" align-x="224.25" align-y="746.25" 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="61" 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="62"/> </region> <region region-id="833" left="0" top="1045.5" width="6008.25" align-x="0" align-y="1045.5" 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="25.5" width="482.25" height="15.75" align-x="72" align-y="38.25" 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="41.25" width="38.25" height="12.75" align-x="28.5" align-y="50.25" 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="59.25" width="39.75" height="12.75" align-x="30" align-y="68.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> 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