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Order and degree of differential equation <img src="data:image/png;base64,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" class="Wirisformula" alt="fraction numerator d squared y over denominator d x squared end fraction equals open square brackets y plus open parentheses fraction numerator d y over denominator d x end fraction close parentheses squared close square brackets to the power of 1 divided by 4 end exponent" width="170" height="46" style="vertical-align:-15px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mrow»«msup»«mi»d«/mi»«mn»2«/mn»«/msup»«mi»y«/mi»«/mrow»«mrow»«mi»d«/mi»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«/mrow»«/mfrac»«mo»=«/mo»«msup»«mfenced open=¨[¨ close=¨]¨ separators=¨|¨»«mrow»«mi»y«/mi»«mo»+«/mo»«msup»«mfenced separators=¨|¨»«mfrac»«mrow»«mi»d«/mi»«mi»y«/mi»«/mrow»«mrow»«mi»d«/mi»«mi»x«/mi»«/mrow»«/mfrac»«/mfenced»«mn»2«/mn»«/msup»«/mrow»«/mfenced»«mrow»«mn»1«/mn»«mo»/«/mo»«mn»4«/mn»«/mrow»«/msup»«/math»'/> are

Solution for the question - order and degree of differential equation(d^(2)y)/(dx^(2))=[y+((dy)/(dx))^(2)]^(1//4) are 2,41,41,24,2

Order and degree of differential equation (d^(2)y)/(dx^(2))=[-Turito

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The solution of <img src="data:image/png;base64,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" class="Wirisformula" alt="x squared fraction numerator d y over denominator d x end fraction minus x y equals 1 plus cos space y over x" width="177" height="35" style="vertical-align:-12px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mfrac»«mrow»«mi»d«/mi»«mi»y«/mi»«/mrow»«mrow»«mi»d«/mi»«mi»x«/mi»«/mrow»«/mfrac»«mo»§#8722;«/mo»«mi»x«/mi»«mi»y«/mi»«mo»=«/mo»«mn»1«/mn»«mo»+«/mo»«mi»cos«/mi»«mo»§#160;«/mo»«mfrac»«mi»y«/mi»«mi»x«/mi»«/mfrac»«/math»'/> is

Solution for the question - the solution of x^(2)(dy)/(dx)-xy=1+cos ((y)/(x)) is x^(2)=(c+x^(2))tan ((y)/(x)) '/> cos((y)/(x))=1+(c)/(x) '/> tan((y)/(x))=c+(1)/(x) '/>

The solution of x^(2)(dy)/(dx)-xy=1+cos ((y)/(x)) is -Turito

Solution for the question - for the given figure, calculate zero correction. +0.03mm- 0.03mm+ 0.02mm

For the given figure, calculate zero correction.-Turito

Solution for the question - three capacitors e_(1),c_(2)and=_(3) are connected as shown in the figureto a battery of v volt. if the capacitor r_(3) breaks down

Three capacitors e_(1),c_(2)and=_(3) are connected as shown in -Turito

The charge deposited on <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAB8AAAAPCAYAAAAceBSiAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAPpJREFUeNpjYMAOfID4PwN1wA+oWcj4FxAzYVPMA8TXqGS5ChBfIEXDTCBOppLlAUC8lFjF1kC8F8rGZXk9EJcTKY5LLQZgA+JLQCxPwPJVUB8RI45LLQboAOIcJD4uy28BsTSR4rewJDYMvXpAfBRNDJvloBT6DYs4CxZxkNovxPj6JDRlErLcHIj3YxG3xCJujpR+8IL/BDAMRALxQiz6E4F4PppYJBYxogE2n08C4jw0MT8g/gTNnuhqk6lp+Tog3gHEHECsBvXZXCDeBMReWNR6UdPyd9C4/QGlHZHEubCo5aBSEQ0uBz4wDBDwggblgIB4aCKiGgAAtIJH6U/ZjwsAAABjdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1uPjQ8L21uPjxtaT4mI3gzQkM7PC9taT48bWk+RjwvbWk+PC9tYXRoPiFvGBIAAAAASUVORK5CYII=" class="Wirisformula" alt="4 mu F" width="31" height="15" style="vertical-align:-3px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mn»4«/mn»«mi»μ«/mi»«mi»F«/mi»«/math»'/> capacitor the circuit is <img src="data:image/png;base64,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" alt="" width="323" height="244" />

Solution for the question - the charge deposited on 4mu f capacitor the circuit is 36 xx10^(-6)c   24 xx10^(-6)c   12 xx10^(-6)c   6xx10^(-6)c

The charge deposited on 4mu f capacitor the circuit is -Turito

If <img src="data:image/png;base64,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" class="Wirisformula" alt="y equals e to the power of negative x end exponent left parenthesis A cos space x plus B sin space x right parenthesis" width="183" height="17" style="vertical-align:-3px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»y«/mi»«mo»=«/mo»«msup»«mi»e«/mi»«mrow»«mo»§#8722;«/mo»«mi»x«/mi»«/mrow»«/msup»«mo»(«/mo»«mi»A«/mi»«mi»cos«/mi»«mo»§#160;«/mo»«mi»x«/mi»«mo»+«/mo»«mi»B«/mi»«mi»sin«/mi»«mo»§#160;«/mo»«mi»x«/mi»«mo»)«/mo»«/math»'/> then y satisfies

Solution for the question - if y=e^(-x)(a cos x+b sin x) then y satisfies (d^(2)y)/(dx^(2))+2y=0 '/> (d^(2)y)/(dx^(2))+2(dy)/(dx)+2y=0 '/>(d^(2)y)/(dx^(2))-2(dy)/(dx)+2y=0 '/>

If y=e^(-x)(a cos x+b sin x) then y satisfies -Turito

Since, the proton is moving against the direction of electric field so, work is done by the proton against electric field. It implies that electric field does negative work on the proton. Again, proton is moving in electric field from low potential region to high potential region hence, its potential energy increases.

In the figure, a proton moves a distance d in a uniform electric field E as shown in the figure. Does the electric field do a positive or negative work on the proton? Does the electric potential energy of the proton increase or decrease? <img 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" 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Solution for the question - in the figure, a proton moves a distance d in a uniform electric field e asshown in the figure. does the electric field do a positiv

In the figure, a proton moves a distance d in a uniform electri-Turito

Solution of <img src="data:image/png;base64,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" class="Wirisformula" alt="fraction numerator d y over denominator d x end fraction equals e to the power of y plus x end exponent plus e to the power of y minus x end exponent" width="139" height="35" style="vertical-align:-12px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mrow»«mi»d«/mi»«mi»y«/mi»«/mrow»«mrow»«mi»d«/mi»«mi»x«/mi»«/mrow»«/mfrac»«mo»=«/mo»«msup»«mi»e«/mi»«mrow»«mi»y«/mi»«mo»+«/mo»«mi»x«/mi»«/mrow»«/msup»«mo»+«/mo»«msup»«mi»e«/mi»«mrow»«mi»y«/mi»«mo»§#8722;«/mo»«mi»x«/mi»«/mrow»«/msup»«/math»'/> is

Solution for the question - solution of (dy)/(dx)=e^(y+x)+e^(y-x) is none of thesee^(x)(x-1)+1=y e^(x)(x+1)+1=y e^(x)(x+1)=y

Solution of (dy)/(dx)=e^(y+x)+e^(y-x) is -Turito

Solution for the question - two charges phi1 and 42 are placed 30 cm apart, as shown in the figure. athird charge 43 is moved along the arc of a circle of radiu

Two charges phi1 and 42 are placed 30 cm apart, as shown in the-Turito

Potential difference between two equipotential surfaces A and B. <img src="data:image/png;base64,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" class="Wirisformula" alt="V subscript A end subscript minus V subscript B end subscript equals k q open parentheses fraction numerator 1 over denominator r subscript A end subscript end fraction minus fraction numerator 1 over denominator r subscript B end subscript end fraction close parentheses" width="173" height="43" style="vertical-align:-18px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«msub»«mrow»«mi»V«/mi»«/mrow»«mrow»«mi»A«/mi»«/mrow»«/msub»«mo»-«/mo»«msub»«mrow»«mi»V«/mi»«/mrow»«mrow»«mi»B«/mi»«/mrow»«/msub»«mo»=«/mo»«mi»k«/mi»«mi»q«/mi»«mfenced separators=¨|¨»«mrow»«mfrac»«mrow»«mn»1«/mn»«/mrow»«mrow»«msub»«mrow»«mi»r«/mi»«/mrow»«mrow»«mi»A«/mi»«/mrow»«/msub»«/mrow»«/mfrac»«mo»-«/mo»«mfrac»«mrow»«mn»1«/mn»«/mrow»«mrow»«msub»«mrow»«mi»r«/mi»«/mrow»«mrow»«mi»B«/mi»«/mrow»«/msub»«/mrow»«/mfrac»«/mrow»«/mfenced»«/math»'/> <img src="data:image/png;base64,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" class="Wirisformula" alt="equals k q open parentheses fraction numerator r subscript B end subscript minus r subscript A end subscript over denominator r subscript A end subscript r subscript B end subscript end fraction close parentheses" width="109" height="48" style="vertical-align:-18px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mo»=«/mo»«mi»k«/mi»«mi»q«/mi»«mfenced separators=¨|¨»«mrow»«mfrac»«mrow»«msub»«mrow»«mi»r«/mi»«/mrow»«mrow»«mi»B«/mi»«/mrow»«/msub»«mo»-«/mo»«msub»«mrow»«mi»r«/mi»«/mrow»«mrow»«mi»A«/mi»«/mrow»«/msub»«/mrow»«mrow»«msub»«mrow»«mi»r«/mi»«/mrow»«mrow»«mi»A«/mi»«/mrow»«/msub»«msub»«mrow»«mi»r«/mi»«/mrow»«mrow»«mi»B«/mi»«/mrow»«/msub»«/mrow»«/mfrac»«/mrow»«/mfenced»«/math»'/> <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADsAAAAsCAYAAADb9sCQAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAbSkFbcgAAAmBJREFUeNrtWkFEBFEYHmutJLGSJIlkD+kQe9hDOiwdsqe1JOmQRJIO6bKndE+HZG9ZWSvLSpJuSfaQRJIOK9Ep6ZYOyR5i+n/zD8/zZnZm2p15Ne/j473Z9//j2/feP+N9o2ntxxcwooUAI8CHFua6kllsFlhpUa4c8FBmsVvAPLWjwBIwIxjXBdwDfgAbwCNggYnFPDrDvIxiqzS7HdROC8bgfr4ELlK7mxGXFeSSFk/AMeApMGUxZtNipjB2gOk/AodkFRqhSnxNgq3wQstYFGvVlw4pWp5zwKLFmHFgzSaW7ddkFosiD6i9A1yxqLDlJrFmv2RzrwRth/ugxGJ1XWb658AJwaOpKogtc7G7wDWbe5nj9aDEHnOPmTjwBtjPXOsE1mk5I5LAM+ArF1uw2QosAhP7To8cFlioLrjrffTHNKiYpQWxo/QHoJiYjGK9IkYvF17w58RmaKZDIXaBilsoxP4GelhE8lQINXQHVFCrQg6qZaygoKCgoPAPYFogeLp4qxnHL/kAcvgCPD3E8yM8Th0OMIcvQBsjJ0GOtqMVtoX01ocJ3sYIKocv4G2MZtggus3B+re4CopBiMVTwiWHY7HwPAtm0UkO07uN0Er4BE75LZa3QOyALh3aH2+aYUi7yYEFbJDr9/gtVmSBiICm1Da1cQnOusjBFjB0E9Y1w9GTEmh03TGC3H50kuIOFqT+yARdu0mmH6XZ9FIEcWZPuHxSVWuro5+0xyK4D5yXTWivZnwQFhf8tsrsYSdFcJr2bpJeKxOyia3YVFl8DNVdFEFcCd+a8UXNjNXAHx5OynGbSNIzAAAA6XRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtbz49PC9tbz48bWZyYWM+PG1yb3c+PG1pPms8L21pPjxtaT5xPC9taT48bXN1Yj48bWk+dDwvbWk+PG1uPjE8L21uPjwvbXN1Yj48L21yb3c+PG1yb3c+PG1zdWI+PG1pPnI8L21pPjxtaT5BPC9taT48L21zdWI+PG1zdWI+PG1pPnI8L21pPjxtaT5CPC9taT48L21zdWI+PC9tcm93PjwvbWZyYWM+PC9tYXRoPg08SM0AAAAASUVORK5CYII=" class="Wirisformula" alt="equals fraction numerator k q t subscript 1 end subscript over denominator r subscript A end subscript r subscript B end subscript end fraction" width="59" height="44" style="vertical-align:-17px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mo»=«/mo»«mfrac»«mrow»«mi»k«/mi»«mi»q«/mi»«msub»«mrow»«mi»t«/mi»«/mrow»«mrow»«mn»1«/mn»«/mrow»«/msub»«/mrow»«mrow»«msub»«mrow»«mi»r«/mi»«/mrow»«mrow»«mi»A«/mi»«/mrow»«/msub»«msub»«mrow»«mi»r«/mi»«/mrow»«mrow»«mi»B«/mi»«/mrow»«/msub»«/mrow»«/mfrac»«/math»'/> Or <img src="data:image/png;base64,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" class="Wirisformula" alt="t subscript 1 end subscript equals fraction numerator open parentheses V subscript A end subscript minus V subscript B end subscript close parentheses r subscript A end subscript r subscript B end subscript over denominator k q end fraction" width="141" height="45" style="vertical-align:-15px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«msub»«mrow»«mi»t«/mi»«/mrow»«mrow»«mn»1«/mn»«/mrow»«/msub»«mo»=«/mo»«mfrac»«mrow»«mfenced separators=¨|¨»«mrow»«msub»«mrow»«mi»V«/mi»«/mrow»«mrow»«mi»A«/mi»«/mrow»«/msub»«mo»-«/mo»«msub»«mrow»«mi»V«/mi»«/mrow»«mrow»«mi»B«/mi»«/mrow»«/msub»«/mrow»«/mfenced»«msub»«mrow»«mi»r«/mi»«/mrow»«mrow»«mi»A«/mi»«/mrow»«/msub»«msub»«mrow»«mi»r«/mi»«/mrow»«mrow»«mi»B«/mi»«/mrow»«/msub»«/mrow»«mrow»«mi»k«/mi»«mi»q«/mi»«/mrow»«/mfrac»«/math»'/> Or <img src="data:image/png;base64,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" class="Wirisformula" alt="t subscript 1 end subscript proportional to r subscript A end subscript r subscript B end subscript" width="64" height="16" style="vertical-align:-5px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«msub»«mrow»«mi»t«/mi»«/mrow»«mrow»«mn»1«/mn»«/mrow»«/msub»«mo»∝«/mo»«msub»«mrow»«mi»r«/mi»«/mrow»«mrow»«mi»A«/mi»«/mrow»«/msub»«msub»«mrow»«mi»r«/mi»«/mrow»«mrow»«mi»B«/mi»«/mrow»«/msub»«/math»'/> Similarly, <img src="data:image/png;base64,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" class="Wirisformula" alt="t subscript 2 end subscript proportional to r subscript B end subscript r subscript C end subscript" width="64" height="16" style="vertical-align:-5px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«msub»«mrow»«mi»t«/mi»«/mrow»«mrow»«mn»2«/mn»«/mrow»«/msub»«mo»∝«/mo»«msub»«mrow»«mi»r«/mi»«/mrow»«mrow»«mi»B«/mi»«/mrow»«/msub»«msub»«mrow»«mi»r«/mi»«/mrow»«mrow»«mi»C«/mi»«/mrow»«/msub»«/math»'/> Since, <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFcAAAAPCAYAAACRFVP2AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAKIPF7gAAAAcZJREFUeNpjYKAvsAbigwwDBwbM/nogLgfiDCA+A8Q/oHxqemovEFsOgBsG2n6GVUD8FIh7gFiJSoFqSaSnaOWGgbYfDm4BcdAABSq13TDQ9qMAJiD+RkXz/gNx0QC6YaDtRwHmQLyfiuZZQs3bT0LKoaYbBtp+FBAJxPNJUF9EZMqAZU9iPEmMG+qhqfI/NJXNpbP9ICAMxNOA+BOSW/BWepOAOJnIgAUV9HdJjGVbID5MwJPEuAFU4QRAszAopX0BYhc62i8ILZcLgJiFWM+vA2IvItWCUoIxED8HYj4ScwjMk+S6AeQxWTS+MB3t7wPiajzyy6EpOQBZ8B0QcxDhuDQg7oKyQVkynIpFEyE3IFc4bNDUU0tn+0FqeEgNXGKAJBCfQ3JAANQwegFzpDIOhJfSuZNljCfVowewF6mGb4FmKxhggcYkvQByhQNKuRvQ3ENr4Act8/EBAyC+Qkp5DPPYfxzYkU6eQ69wZgNxNB0D1weac/EBaSAWJ8VQUSC+BK0p0UEWUhlMawCqcDygZZ8xtJuqRsfA5YI2v8qhbqAKwFeGgJpl1+jkuXfQnPIHiG8AcegADG7ZA/EFqBtgOZcNl2IApUKHkUPe+ukAAADGdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1zdWI+PG1pPnI8L21pPjxtaT5BPC9taT48L21zdWI+PG1vPiZsdDs8L21vPjxtc3ViPjxtaT5yPC9taT48bWk+QjwvbWk+PC9tc3ViPjxtbz4mbHQ7PC9tbz48bXN1Yj48bWk+cjwvbWk+PG1pPkM8L21pPjwvbXN1Yj48bW8+LDwvbW8+PC9tYXRoPl49kjoAAAAASUVORK5CYII=" class="Wirisformula" alt="r subscript A end subscript less than r subscript B end subscript less than r subscript C end subscript comma" width="87" height="15" style="vertical-align:-5px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«msub»«mrow»«mi»r«/mi»«/mrow»«mrow»«mi»A«/mi»«/mrow»«/msub»«mo»§lt;«/mo»«msub»«mrow»«mi»r«/mi»«/mrow»«mrow»«mi»B«/mi»«/mrow»«/msub»«mo»§lt;«/mo»«msub»«mrow»«mi»r«/mi»«/mrow»«mrow»«mi»C«/mi»«/mrow»«/msub»«mo»,«/mo»«/math»'/> therefore <img src="data:image/png;base64,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" class="Wirisformula" alt="r subscript A end subscript r subscript B end subscript less than r subscript B end subscript r subscript C end subscript" width="82" height="15" style="vertical-align:-5px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«msub»«mrow»«mi»r«/mi»«/mrow»«mrow»«mi»A«/mi»«/mrow»«/msub»«msub»«mrow»«mi»r«/mi»«/mrow»«mrow»«mi»B«/mi»«/mrow»«/msub»«mo»§lt;«/mo»«msub»«mrow»«mi»r«/mi»«/mrow»«mrow»«mi»B«/mi»«/mrow»«/msub»«msub»«mrow»«mi»r«/mi»«/mrow»«mrow»«mi»C«/mi»«/mrow»«/msub»«/math»'/> <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAEMAAAAQCAYAAABN0MIqAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAALV/ZLFgAAAQRJREFUeNpjYKAtUAHiowwDAwbSbqwgCIiX0shsayA+SG+7/0MxqaAeSS8Il1M5EPYCsSWd7SY7MEBgFRAHUMkdlkQEAq3spgq4AcTydA4EatpNNcAExN+olDKLBshuqgFzAgUcKSljPxRb0tluqoFIIF6IR14NiGuB+AKJ2YWYQMFnN6wM/AWtelXILTADoHLLiXD8BCDOwSO/GIjTyCicbYH4MIFAIWQ3LCtlAfE5egTGFCCeS2SZQA6ABQoldoPAD3pkEy0gfgr1LBsNAoMadtsPtrLl/wDZKwktM5RGemCACu8t0ABhGMmBAQqAbUDMxzAIAb0DAxQQGoMxENDxgNoLABPEVwiDq5umAAAArnRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtbz4mI3gyMjM0OzwvbW8+PG1pPiYjeEEwOzwvbWk+PG1zdWI+PG1pPnQ8L21pPjxtbj4xPC9tbj48L21zdWI+PG1vPiZsdDs8L21vPjxtc3ViPjxtaT50PC9taT48bW4+MjwvbW4+PC9tc3ViPjwvbWF0aD4aaIWtAAAAAElFTkSuQmCC" class="Wirisformula" alt="therefore blank t subscript 1 end subscript less than t subscript 2 end subscript" width="67" height="16" style="vertical-align:-5px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mo»∴«/mo»«mi» «/mi»«msub»«mrow»«mi»t«/mi»«/mrow»«mrow»«mn»1«/mn»«/mrow»«/msub»«mo»§lt;«/mo»«msub»«mrow»«mi»t«/mi»«/mrow»«mrow»«mn»2«/mn»«/mrow»«/msub»«/math»'/>

Solution for the question - figure shows three spherical and equipotential surfaces a, b and c round apoint charge q. the potential difference v_(a)-v_(b)=v_(b)

Figure shows three spherical and equipotential surfaces a, b an-Turito

Charges +q and –q are placed at points A and B respectively which are a distance <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABQAAAANCAYAAACpUE5eAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAK9JREFUeNpjYIAAayBeA8SfgPgXEF8A4mgG/OAbEDPhkjwIxJFAzAPlawHxUagYNqACxJcYSATyeDQFAPFyBjLADxzi9UBcTqphllBvYwOroK4kGnAA8UloZGEDt4BYmljDBIF4AxC74ZAHxewXYg1TghqmgkeNORDvJ8YwDSCeDcRcBNSBktJ8QoaJQwOahQiLJwFxIiFFW6AuJAasA2IPQor+48Ho4B0etWwM1AYAbM0nSXNR0ksAAABTdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1uPjI8L21uPjxtaT5MPC9taT48L21hdGg+YS8bGAAAAABJRU5ErkJggg==" class="Wirisformula" alt="2 L" width="20" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mn»2«/mn»«mi»L«/mi»«/math»'/>apart, C is the mid-point between A and B. The work done in moving a charge+<img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA0AAAAOCAYAAAD0f5bSAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAALtJREFUeNpjYMAO3IB4BxB/A+IfQHwYiB0Z8IAOIN4AxKZAzATFfkD8EoitsWnIA+KZOAwD2XQcXVAWiK9ATcYFPgAxG7JAKxDnMOAHu4HYAFkAZIs8AU0PgZgLxmGChhQ+wAJ1HorAJwKagoB4IbrgNwKBcBTdPwxQUxJxaKgE4i5sEhpA/BiI46HOBQE9IF4MDVmcwByI90OTDgj/B+IsBhJBOBA/B+IzQJwMxKLEauQB4nIgvgZNyAwAqaghgYyCZAkAAABJdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1pPlE8L21pPjwvbWF0aD715aU4AAAAAElFTkSuQmCC" class="Wirisformula" alt="Q" width="13" height="14" style="vertical-align:-2px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»Q«/mi»«/math»'/> along the semicircle CRD is <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAUcAAADLCAYAAAD9TFF8AAAgAElEQVR4nO3daXBV933/8ffdV+262ne0IhCSEWKxQSLGgJcYm9iZpMmkaaedziSTzvRBpk/bTjudtulMpplJ05mmaTxOk4Y43jEYcECYHUmAJEASaF+vtivdff8/8P+eIuvagA1cCX1fM4w9o7v8dHTO5/zOb1VFo9EoQgghllAnugBCCLESSTgKIUQcEo5CCBGHhKMQQsQh4SiEEHFIOAohRBwSjkIIEYeEoxBCxCHhKIQQcUg4CiFEHBKOQggRh4SjEELEIeEohBBxSDgKIUQcEo5CCBGHhKMQQsShTXQBhBBLhcNhQqEQ0WgUlUoFQDQaJRKJEI1GUavVaLVadDpdgkv6eJNwFGKFcbvdzM7OEggEiEQiwNJw1Gg0mEwmMjIySE5OTnBpH18SjkKsMGNjY5w6dYrr168zMzODVqslNTWVjIwMdDodHo+H0dFRAPLz82lpaWHbtm1YLBbUamkpe1AkHIVYYZxOJ729vbzzzjsMDQ0BUFRUxLZt2zCbzUxPT3Px4kWmp6cB6O/vx2g0Ul9fT1JSUiKL/ljR/M3f/M3fJLoQQoj/k5aWRn5+Pk6nE7vdjtvt5itf+Qo//OEP2b17N01NTTz77LNkZmZy8+ZNbt68yfDwMJs3byYnJyfRxX9sSM1RiBUkGo1iNptpaGigurqa69evk5aWxtatW2lqalry2vT0dLq7uzl+/DgnTpxgdnY2QaV+PEkDhRArSKx3OhQKMT09TTgcZuvWrVRVVS17bUpKCk1NTeTk5GA0GpX3igdDwlGIFSgYDDI8PMzs7Cw1NTVUVFQse43T6aSzs5P5+XmsVitarTwIPkhyNIVYgVwuF4ODg9jtdgoKCsjNzV0y7hGgu7ubI0eOEAwGKS8vx2KxJLDEjx8JRyFWGL/fz8jICC6XC41Gg9VqRa1WMz8/j9fr5fbt25w4cYIjR44QiUTYv38/3/3udykqKkp00R8rEo5CrDAOh4PBwUE8Hg/hcJixsTHa29uZmJjA4XAwMDDAmTNnWFxcpKWlhW9+85u88MILUnN8wCQchVhh5ufnGRgYwOPxMDs7yzvvvIPX66WjowOPx0NRUREvv/wyW7dupaSkhMLCQsxmc6KL/diRcBRihRkdHaWjo4P09HSKiopoaGhgZmaGkZERbt68yfj4OLW1tTz99NNYrdZEF/exJeEoxApz+/ZtLl68SF1dHS+++CIHDx7E4/HQ2NjIP//zPzMzM0NGRgZWq3VZJ414cGQojxArzNTUFGNjY2RkZFBZWYnVaiUrK4uGhgYyMzNxuVwMDw8zNTWV6KI+1iQchVghotEo8/PzTE9P4/F4SE9PJzc3l1AoBEBBQQFZWVmoVCp6e3vp7+9XVu0RD56EoxArhM/nY2RkBLvdDkBubi6FhYXK4O6UlBRKS0vJzc1lYmKCkZEReaR+iCQchVghfD4fPT09LC4uYrPZyM3NXbIEmVarZf369dTU1HDr1i26uroIBoMJLPHjTcJRiBVicXGRK1eu4PF4qKmpITMzc9lrNm3axBNPPEFPTw/nz59nbm4uASVdGyQchUigYDCIw+FgdHSU06dPc+zYMQYGBtDr9bjdbqW9Maa0tJSamhqi0ShtbW388pe/5Ny5c8zOzuLz+aQN8gGSoTxCJJDT6WRwcJC+vj5OnTpFV1cXKpWKSCTC6Ogo/f39lJSUoNfrgU/WeiwrK6OoqIiuri4OHTqEy+UiFApRXl5OZmYmKpVK2iIfAAlHIRKov7+fP/zhD/T29jI4OMi6deuAT3quL1++jF6vJysrSwlH+KSjZteuXRiNRjQaDRcvXsTlcvGNb3yD9PT0RP0qjx0JRyESSK1WYzKZsNlsJCcns23bNmUjLa1Wi16vX1YLTE9PZ+/evRQVFbG4uMj8/DxmsxmtVis1xgdIFY1Go4kuhBBrld/vx+/3K1uxxnqnYzNfdDodZrN5Sa91NBrF6/UquxNGIhHUajUWiyVumIovRsJRCCHikMdqIRLo8+omd/7s82qDUlN8OCQchUggj8fD1NQUKpVKeXT2+Xw4nU6mp6dxu91otVpsNhv5+fmo1eolw3V0Oh15eXkSkA+BhKMQD8mdbYOhUAi/308gECAYDBIKhQgEAkxOTir7T6vValQqFT6fD5fLxczMDB6PB61WS2ZmpjJjJtZhE2uTzM7OxmazodFolH96vR69Xo9Op8NgMGAwGJa0W4q7kzZHIR4Sj8fDtWvXlPnSt27dor+/n6mpKebm5vD5fGRmZpKdnQ2g1AgNBgNWq5WMjAzMZjPhcJiZmRkmJiaUzheVSkU0GiUUCjE+Po7D4SAzM5OMjAwyMjIoLCyktLSUvLw8SkpKqKqqIjk5OZGHY9WRcBTiSwoEAszMzDA9Pc3c3Bzz8/M4HA4WFhZwOp14PB78fj9utxu3243P51PmROfk5JCTk0M0GlXC0Wg0kpSUhM1mw2KxEAqFsNvtjI+PK+EYEwwGGRsbY2ZmRqkh6vV6zGYzZrMZk8mE2WzGarWSnJxMSkoKaWlppKWlkZGRQVZWFiaTKSHHbaWTcBTiS7p16xadnZ1cuXKF7u5ubt++zejoKFqtloaGBoqKirDZbFRUVLBu3Tqys7NJT08nKSkJjUbzmZ0yn25H/LzXBYNBZmdnmZubY3Z2luHhYQYGBhgfH2dgYICbN2/i9/vJyMigvLyc9evXs379ep544glqa2sf+DF5HEg4CnGfHA4HXV1dXL16lb6+PrxeLyqVCpPJhF6vV2pwKSkp5ObmkpqaisViwWazKSt4P6w9pn0+Hx6Ph/n5eebm5pRB4na7ncXFRTweD4FAgEAgoLSBqtVqSkpKlBV/7pyuuJZJh4wQdxEOh5XH4oWFBfr7+2lra+PcuXP09PQoK3bX1NSwfv16ysvLKSkpSUgPstFoxGg0kp6erkxFvNPo6Ci3bt3ixo0bdHd309PTw+3btykrK8Nut7OwsMD8/DwFBQUkJSWh1+sxGo2P/PdYCaTmKMRd2O12WltbOXnyJNeuXQOgtraWyspK5TE5LS0Ni8WCxWLBbDav2JpXMBjE6/Uq7Z8LCwvMzMwwPDxMf38/fX19TE9Po1KpePLJJ3n22WfZsWPHmuzplpqjEHEsLi4yOjrKyMgIw8PD3L59m/n5eSwWC5mZmWzYsIFt27ZRV1eHTqdLdHHvmU6nQ6fTLeu57u/vJy0tDfikDfPOZdRGRkYoLCxUOo/Wyo6HUnMU4lNcLhdXr17l0KFDtLW14XQ6aWpqYt++fWzZsoWcnBwikQharRaNRvNYDMAOh8OEw2EikQherxe73c7Jkyc5fvw4bW1tpKWl8corr7B//34aGhoSXdxHQsJRiP+vv7+fM2fOcOvWLWWFbbPZjM1mo6amhg0bNlBcXJzgUj4a0WiUGzdu0NHRQU9PD3Nzc8oA87S0NHbs2EF9fT0ZGRmJLupDI4/VYk2LRCL4/X4WFhY4e/Ysv/vd7xgaGsJms/Hqq6+ye/duKioqEl3MR06lUinDfQC6u7t5++23OX78OKOjozgcDtRqNXV1dcoako9DDfpOUnMUa1pXVxcnTpzg5MmTGAwGGhoaKC0tpaioiIKCAmw2GwaDIdHFTDiv18vY2Bjj4+MMDg7S3t7O1NQUqampNDc3c+DAgSWDyWPTG1czqTmKNScUCjE7O8vg4CBtbW10d3czPz9PXV0dzc3NbN68eVV1sjwKJpOJ8vJyysvL2bJlC+FwmJMnTzI+Ps7FixcxGo1UVVWRl5dHSkrKqg9GkJqjWIOmpqZ47bXX+N///V8KCgrYsWMHe/fupbS0FKPRKDXFu4hGo/j9fqamprh+/ToffPABra2tPPnkkxw4cIDm5ubH4hhKzVGsGQ6Hg+vXr3PmzBn6+/tpaGigtraWbdu2UV9fn+jirRoqlQqj0UhxcTFms5lgMIjBYMDtdnP69GkcDgf19fVUVlYmuqhfitQcxZrg9/u5fPkyx48f58MPP2TXrl38xV/8BQUFBQ9tKt9aEgwG+c1vfsOJEycIhUJs376db3/726SkpCS6aF+YhKN47A0NDfHxxx9z6dIlotEomzdvpqGhgZqaGgnGB2h8fJyuri4uX77M1NQUVquVr371q2zbti3RRftC5MwQj61wOMzs7CwXLlzg0qVLLCws0NDQwNe//vU1O1/4YcrLyyM3NxeTycRHH31Ee3s7aWlppKamkp+fT1JSUqKLeF+k5igeWz09Pfznf/4ns7Oz5Ofns3//fjZt2rRmpr8lit/vZ3h4mCtXrnD48GGmp6f53ve+R0tLC2azOdHFu2dScxSPHa/Xy+XLl5XaYlFREVu3bqWhoWFVXZyrTWxso8FgoKKiApPJxNTUFBcvXuTs2bO43W6amprIz89fFc0ZUnMUj53u7m7+7u/+jsXFRV555RV27ty56ntOVyuv18v169f58Y9/jMvl4utf/zrbt2+npKQk0UW7KwlH8dhYWFjg3Xff5dy5c5jNZqqrq3nqqacoLS1VlhB7HGZurDZOp5PTp0/T0dHB6OgopaWlbN++nc2bNys1+ZX4d1n5dVsh7iIajWK327l+/TofffQRw8PD/NVf/RUtLS1YLJYlr11pF+BakJSUxHPPPUdeXh7//u//TmdnJ8FgkOTkZDZu3KhsGLbSSM1RrGqRSISRkRE++OAD3nvvPRobG9m3bx9VVVXKgghiZfD7/YyNjdHa2kp7ezvZ2dls3ryZPXv2rMg2yJVXIiHuw+TkJMeOHaOrq4vs7Gx27NjB9u3bE10sEYfBYKCsrIxwOIzP56Ozs5NAIEBJSQnl5eUrLiBXVmmEuA+Li4t0dXXx29/+lqqqKv7xH/+RrKysRBdL3EVFRQVZWVnMzs7S29tLa2sroVCIDRs2JLpoS0g4ilUpFArx/vvvc/78eerr69m5c6cE4yqSkpLCvn37sFgsnD17lmAwSH5+vrJVw0qw9nbNEateIBBgYGCAkydPcuvWLQ4ePMhzzz2X6GKJ+9TY2MiePXtwuVx0dnZy9epVZmdnE10shYSjWHXOnz/Pj370I1JTU/nOd75DRUUFGo0m0cUSX0BpaSk/+MEPsNls/PSnP+XixYuJLpJCwlGsGuFwmKGhIS5fvszIyAg1NTU888wz0iu9ilksFpqbm6mrq8Pn89HW1saFCxfw+XyJLpoM5RGrx+joKD/5yU9wuVzU1dWxe/dumfnymLDb7Vy5coXXX3+dYDDIP/3TP1FUVJTQMknNUawKU1NTXLp0iZGRETIzM9m1a9ea2QlwLcjKyuKJJ55gw4YN6HQ6PvjgA7q6uhJaJumtFiue3+/n1KlTtLW1kZeXR2NjIzU1NYkulnjAMjIyeOGFF0hLS+ODDz5gdnaWqqqqhO3nIzVHsaK53W66u7s5c+YMMzMzPP/88+zcuTPRxRIPgUqlorKyksbGRrKzs5mYmODYsWPY7faElEfCUaxoN2/e5OTJk3g8HtatW8e2bdtITU1NdLHEQ6LVaqmoqOCpp57CbDYrs58SQcJRrFgLCwscP36cN954g127dvG9731vyd7I4vFktVp59dVX2bRpE1evXuXSpUsMDg4SCAQeaTkkHMWKND09zbvvvsvw8DCVlZVs2rRJaoxrQGzwjF6vp7a2lo0bNzIyMsKRI0eYn59/pGWRcBQr0u3bt/mv//ov1Go13//+9yktLU10kcQjcOfSZeXl5fzJn/wJoVCIN998k9HR0UdaFglHsaJEIhEmJia4efMmkUiEwsJCamtrV93mTOLLs1gsVFRUUFxcjE6no6uri4GBAR7V0GwZyiNWFK/Xy8cff0xvby8bNmxgw4YN0s64hlksFhoaGlhcXOTatWtoNBry8vIwGAwP/bul5ihWlPn5eQ4fPkxfXx8HDx5ctXseiwenubmZ559/nqtXr3L06FGcTucj+V4JR7Fi2O12Ojs7cTgcpKenU1dXJ/OmBSaTierqatLT05Ua5Nzc3EP/XglHsWJcvnyZEydOUFlZye7du5ft/yLWLoPBwHPPPUdFRQVHjhzh6tWrD/07JRzFinHt2jUuXLhAVVUVTz75JEajMdFFEiuEyWSipaWF0tJSzpw5w/Xr1x/6d0o4ioSLRCKMj48zNDSEw+GgoqKCwsLCFbkjnUgMrVZLSUkJJSUlzMzMMDQ0xPT0NJFI5KF9p4SjSLjR0VEOHz6MRqNhz5495OTkJLpIYoUqKChgz549+P1+Dh8+zNTU1EP7LglHkXBDQ0McO3YMs9nMs88+i81mS3SRxAqVn5/Pc889h0ql4tixY4yPjz+075JwFAkXW907OTmZ5uZmmSYoPlNmZiYtLS0YDAYuX77M2NjYQ/suCUeRMD6fj4sXLzI0NERFRQUVFRWPZHCvWN0sFguFhYXYbDaGhobo7e0lFAo98O+RcBQJ43Q6ef/99xkZGeHAgQNs3Lgx0UUSq0RVVRXbt29neHiYCxcu4Pf7H/h3SDiKhPF6vbS2tjI+Ps7OnTspLy9PdJHEKrFu3ToaGhoYHh6mvb2dcDj8wL9D5laLhJmcnGR2dpb09HTKy8vR6/WJLpJYJQoKClhYWGBhYQGPx4Pb7SY5OfmBfofUHEVCdHV1ceXKFaqrq3niiSdk32lxX/R6PQUFBeh0OpxOJ3a7/YGPeZRwFAlx5coV2traqK2tpbGxEbVaTkVxf6xWK+vWrSMtLY0bN24wPDz8QD9fzkiREF1dXXR2dlJTU0NDQ4OEo7hvKpWKrVu3UlFRQVtbGzdu3Higny9npHjk5ubmmJqawuv1UlBQQFZWlkwVFPdNq9XS0NBAcXEx7e3t9PT0PNDPl3AUj5Tb7WZoaIhgMEhaWhoZGRmJLpJYpTQaDRUVFeTl5TEwMPDAt1GQcBSPlN1up6urC6vVKqt8iy9FpVKh0WhITU1FrVbjdrtZWFh4YJ8v4SgeqdnZWW7evInZbKampkaWJRNfWlJSEjk5OUQiEYaHh/F4PA/kcyUcxSM1NzdHX18fJpOJ8vJyCUfxpVksFtavX49er+fGjRs4HI4H8rkSjuKR+vRjtdlsTnSRxCpnsViorKxEq9XS29sr4ShWp5mZGSYmJkhOTiY3NxetViZpiS/HbDZTUVGBVqulr6+PxcXFB/K5Eo7ikQgGg4yMjOB2uykoKCAtLS3RRRKPCYvFQllZGRqNhtu3b0s4itXF7/czODiIz+ejtLRU1mwUD4zRaKSoqAitVsvIyAgul+uBfK6Eo3gkAoEAo6Oj+P1+CgoKHvgiAWLtUqlUpKSkoNPpmJmZkXAUq0sgEGBqaopgMEhOTo5suyoeOIvFgtVqxev1EgwGv/TnSTiKRyIYDDI1NUUgECA7Oxur1ZroIonHTHJyMvn5+Xi9XiYnJ7/06uASjuKRuPOxurCwkKSkpEQXSTxmkpOTyc7Oxuv1MjU1JeEoVodAIMDY2Bh+v5/8/HxpcxQPnNVqxWaz4fV6mZ6elnAUq0MwGGRiYgK/309ubq4M/hYPnNlsJj09Hb/fz/z8/JfeOkHCUTwSoVCIQCCAwWAgKysr0cURj6GkpCSysrLwer3Y7XYJR7E6OBwOtFqtzKUWD01SUhI2mw2fz4fdbpfHarGyRKNR5f/D4TCDg4O8+eabvPHGGzgcDvr6+njjjTeYnJxMYCnF48hoNGIymdBqtWg0mi+9YZtMbBUPVGxF72AwSG9vL+fOnePo0aNcunQJh8NBb28vr732GouLi7S0tJCbmyu1ST6ZQeT3+wkGg6hUKnQ6HQaDAZ1OJ6uk3yOHw8Hc3BwulwuTycTi4uKXmokl4SgeuMXFRdrb23nrrbd49913mZmZwefzEQwGmZ6e5vTp03R1dXH8+HF++MMfUl9fn+giJ1QkEqG9vZ2Ojg5u3bqFwWBg3bp1bN26laqqKtmyNo5oNLrkpjEwMMDly5c5ffo03d3d5ObmcvnyZcxmM5mZmXHfczcrJhw9Hg8zMzOEw2FUKhVqtZrU1FQZ8rEKTU1N8d577/H+++/T39+/5GehUIj5+Xnm5+dZXFykqamJ5ORkSkpK1uQmW7dv36atrY3z589z7do1BgYG0Ov1lJaW0t/fz5YtW2hsbCQnJwedTpfo4q4YKpWKaDSK2+2mp6eHP/zhD5w5c4bOzk4mJiZYXFzkzTffxOVysWvXLvLy8u77JrNiwrGnp4fW1la8Xi9arRaDwUB9fT07d+5MdNHEfRoaGuLtt9/m1q1bn/s6r9fLe++9h8Vi4Y//+I/XXDh6PB4OHTrET37yE+bm5giFQkqbbX9/Px9++CF1dXX85V/+Jbt376a4uDjBJV5ZQqEQbW1tvPXWW/zP//wPdrsdjUZDJBLB4/Hw+uuv09vby9TUFC+99BIVFRX39fkJD8fJyUmOHDnCmTNnuH79OsFgELVajUaj4cKFC3R0dLBv3z6qqqoSXVRxF7GTcnx8HLvdftfX+/1++vr6GBoaWtKRsxbMzs5y4sQJTp48yfj4+LKfx4ahXL9+nd/+9rfodDry8/OJRqM4HI4lw1Si0ShqtRqTyYTRaFzWThkOh/F6vUqb5qcfL9VqNUlJScv28/F6vczNzTE2NobT6USj0Sg/C4VCWK1WSktLSUtLW1IrC4fDTE5OcuvWLUKhkPK+2N/YZDKRlpZGfn7+kmmk0WiUS5cucePGDfx+P+FwGLVaTSQSUTpYKioq2Lp1K1qtFqfTybFjx3j//feV8+3Tw3euXr2KRqMhKyuLzMxMUlJS7vkmnLBwjEajRKNRrly5wk9+8hM6OjqWXSBnz57l9OnTmEwmSkpKMBgMCSrtyhI7dvECRaVSKf/u533wyUUS732RSGRJrebT36fRaNBoNESjURYWFlhcXFxyIX2WSCTC4uIiLpdL+exoNEooFCIcDhOJROJ+p1arRa/XLylrNBolEokQDAbjjm+7s5yfXmA3Eong9/uJRCJx36dWq9HpdMt+p2AwSDAYXHZsYo98Go0Gk8kU91j09fXxm9/8ho6Ojs89Rn6/n6NHj1JSUsK+ffuYn59nYGCAcDisfGckEkGn02Gz2cjJySEnJ2fJsYlN3bTb7cqxjv1cpVJhNBqprKwkPz9/yXe7XC6Ghoa4cOEC4+PjS0LX5/ORl5eHwWDAbDYr4Rj7O4yOjvLRRx/hdruV6zZ2fLOysqioqCAtLW1ZOF67do3Dhw+zsLBAMBhEo9EQDofR6XRYrVb27NlDY2MjWq0Wh8PBmTNn6Ovr+9zjd+7cObZu3UpjY6NyA7kXCQvHYDDImTNnOHz4MAMDA595wY6Pj9Pa2kphYSG7d+9+oAEZO0nut6H2zvc+Cnd+V6ydxeVy4Xa7l9xdtVqtsjLJp1e9CYfD+P1+HA4HLpdrSYDG7sxZWVlx5zxPT09z/vx55ubmlAskFmI2m43KykoKCgowGo1KzeVeBuCqVCpl2EWsLH6/n7Nnz3L16lWGh4cJBAJKuEQiEVQqFTt27GD//v2kpqYq7/N4PAwNDXHq1CmuXr2KVqtVagihUAij0UhtbS2bNm2irq5uSU1nZGSE119/nZGRkWU1IKvVSmFhIc3NzWzcuHFJ+c+ePcvvf/97rl+/zuzsrBK6KpWKYDBIXV0df/3Xf01NTY3ynmAwyODgIKdOneL8+fP3VMOORCJMTEzQ2dnJxYsXOX/+PGq1etnvV1payvbt29m7d++S62RhYYFTp05x7do1pqamiEQiqNVqotEoOp2O7OxsDh48uCwcfT4fDocDt9uN1+slFAotCUefz7ckpD/9Nw2HwwQCASUUY+eETqcjPT19WRugSqViw4YNqNVqXC6X0v8Qu9HENmXTarVEIhEmJydxu913PX6A0lR3P003CQvHUCjElStXuHz5Mk6n83Nfd/XqVXJycrDZbJSUlOD1ejEajZjNZoxGo/ILR6NR/H4/k5OTLC4uLqtZaDQajEYjqampZGRkLLl7ulwuxsfH8fv9y8oQjUbR6/Xk5uaSkpKivAdgfn6emZkZpUf2zkeIcDhMWloaZWVlWK3WZY8lY2NjDA4OKuEE/xcAycnJZGRkkJ2dveREDwQCdHd3MzAwoJxAsXDU6XSkpKRQVVXFhg0blvwOHo+H4eFhbt26xcTEhFIjgk8uWJPJRFNTE+Xl5UtqZbEBtV1dXYyPjyuPXtFolGAwSEFBAUlJSaSlpWEymUhJSSEjIwOr1XrXFZnVajV5eXlkZ2cvOdYLCwtMTEwoi+PGQid2kVVWVi67OcXKY7fb6e/vVy7Q2DGzWq3k5ubi9/uX3Yhjy6kNDQ0tqVXG/n4Wi4VAILCs/MFgEJfLhcPhUAa5wyfnRiAQwOl0LrtJxM4Lt9vNzMzM5x6fO7ndbmZnZ4lEIsq5dGc4GgyGz7z4VSoVer0es9lMUlLSkkqBXq/HYrHE7ezR6/Wkp6ezbt06MjMzlxybQCBARkYGKSkpy2riKpWK9PR01q9fj8vlUsoUexIoKSkhPz9/WQ1OpVJRWVlJdna2UpOPlVOtVqPX60lNTUWj0cT9O34eq9VKcnLyPT3RxCQsHCORCNPT0/d0goyOjnL69Gn0ej3Z2dkEAgEqKipYv349BQUFSy5Yu93OL3/5S86fP7/kZA2FQspy6i0tLezbt2/JidTf389//Md/MDo6uuzxKhKJkJWVxZ//+Z+zY8eOJT/r6Ojg7bff5p133mF0dBSj0YhKpSISieB2u2lububv//7vaWhoUGpzsdrfr371K/7hH/4Bv9+vzDWOPUo0NTXx/PPP881vfpO8vDzl+9xuN0ePHuX06dPKI0zs+7RaLWazmQMHDiwLR4fDwaVLlzhz5gy9vb1Lah5er5fU1FQsFgvZ2dmkpaUpj8kOh4PZ2VkADAaDckzvPDE9Hg8+nw/45A5dWFhIYWEhU1NTn1uD1Ov11NfXU1NTo5RFp9OxYcMG0tPTmZubU8I/9neIRCJUVlYuG79mNpspK5OB1LAAABTaSURBVCvj2WefVT7v0+FRXl5Ofn7+siDIycnhj/7oj5ienlba5GLfl5qaSmFhIbm5ucvK/+STT7Jp06YltaNP/36f3g5Cr9dTXV3N5s2bSU1NZXp6+jOPz6elpKTwrW99C6vVuqzJIdZsYDAYltXIMjMzeeWVV+I2OcRukvHmumdmZpKamsqGDRuU8ywmVtnQ6/Vx9wEqLCwkKytrWYDFaqvxmikAZYRKrPnn0092sfcYDAays7Pv6RE5thhuRkbG6ghH+L82sLvxer3Mzs4yPj6uVO/z8/MxGAxLflm1Wo3RaCQ9PX3J0Ic7wzE3N5fk5ORlj8Qmk4nCwkLlrn8njUZDTk5O3DUIs7Ky2LRpE8FgkNnZ2SVtL16vlw0bNpCRkbHsBNLpdFRXV/PSSy8RDAaV2mGsAbu8vJyKioplf3y9Xs/GjRsxGAxLTpzYf/V6PevWrVtWzlh4RCIRysrKlrQvBgIBzGYzxcXFyufGjpvRaCQvL49t27bh9XqX1IxjtZhPr89YWFjI1772NfR6PWfPno0bkFqtlo0bN/LMM8/Q0NCgBJlGoyE3N5fU1FQldO5sUohGoyQnJy+rIanVaqxWKxUVFeTm5sa9kFNTUzGZTMv+9rHHtdLS0iWLpEajUYxGI8nJyXFrViaTaVknxr3KzMwkPz9fuQHcjdVqJS8vj6Kionv6/DvPC41G84WWiIu10X6RpqxYAN6vO29qd5OWlkZTUxNDQ0MMDw9/Zjnq6+spKSm5r2CEBIajWq0mMzMTm83GyMjI586DTE5OJicnR6nGh8NhsrOzsdlsce+SX/nKV6itrUWr1SoXQjgcxmAwkJmZSWZm5rILJD8/n1dffZX5+fllm4LHetfi1R42bNjAhg0b+NM//dN7/t1VKhVms5mDBw9y8ODBe34ffHKRvPzyy/f1HoCMjAx27drFrl277ut9qamppKamUllZec/vycrK4tvf/jYqlYqpqSlGRkbwer1Leh43bdrEvn37+MpXvrLkuKpUKqxW6xdaDFelUpGWlnbfm3dpNBpSUlKUJpNHwWKxUFdXx9zc3Gde2PDJ72QymSgqKqKgoOCeP//OG9zjKikpiX379uF2u/n1r3/NwsLCkhspQE1NDS+++OJ9nb8xCQtHrVbL1q1bGRoa4vz585/72oaGBg4ePEhdXR3JycnKUvvx7mhqtZri4mJycnKW3IFi7RaxKVmfZjQayc/PJysra0lQR6NRpXdUZircG61WS1ZWFgcOHKCkpITbt28zOjrK3NwcJpOJ4uJi1q9fT21tLTabLdHFTYiSkhK+853v4HK5PjccTSYTL7/8Mk8//bRsLfEpOp1O6YG22Wy0tbUxNDREIBAgJSWFdevW8dRTT7Fnz557rnHfKaHhuHHjRsbGxvjDH/7AjRs3lrWjqNVqcnJy2L17Ny+88MKStrfP80VqHrFHcpnn+2BoNBoqKiqoqKhgamqK4eFhJicnSU5Opry8nLy8vCV3+ce5hhNPamoqzc3N9PX1MTAwwMTEBB6PR2lGiD2W1tfXc/DgQbZs2SJ7fH9K7Elh+/btZGZmUllZSWdnJ36/H5vNRl1dHZs2bVKC8X7PM1U0waNvR0ZGOH78OG+99RbHjh3D6/UqP3vqqac4ePAge/fupba2NoGlFF9GbEhHrLPpzo6dtW5mZoaenh5OnTpFd3c3c3NzaLVa8vLyaGpqor6+nrKysvsavLwWBQIBPB4PXq9XedqLrdLzRaddJjwcw+EwY2NjnDt3jnPnzjE7O0s0GiUpKYmGhgaam5tlALh47F27do3+/n5lAL3NZqO2tnbZ2EPx6CQ8HOH/eiE/PRwiNsxgrT1yibUn3siNz5rpJB6NFRGOYm1bi22OYuWThh/xQMUWbY21McbmHccGqMfm4cbGq5rN5vsefybEoyDhKB6o7u5uZTWlmzdvKr2wxcXFvPjii7z44ousX7+ec+fOcfv2bQ4cOCAbbonPlagnCwlH8aU5nU56e3u5fv06IyMj2O12fD4fZrNZmZtsNpuZm5vj448/pqurS1mNJt5cdiHuFJu11tfXh9PpXDKHPDYl8s452BaLhaSkJJKTk5etaXA/JBzFl+J2u+ns7OTHP/4xb731Flu2bOGZZ57h1VdfpbS0FKvVisFgYGZmhvb2dn7961/z1ltvUVdXxyuvvCKrW4t74nQ6+dWvfsW1a9dITU2NG46xpc2KioooLy+nvLycqqqqex4f/WkrLhxji1zeudqOWJncbjenTp3iv//7v+nt7aWpqYkXXniBlpYWqqurlywOkZ+fj0qloru7mytXrlBSUkJubq7MOhL3JLZgR2zpttHRUfR6Pfv27aO8vJxAIEAoFCIYDOL3+7l48SLvvPMOJSUl7N69m+3bt8ed/vt5Vkw4+nw+nE4nfr8fnU6HXq+XcFzBPB4PHR0dvPPOOxw6dIjdu3fz/e9/n6effvozd3zLy8tjz549OJ1OcnNzKS4uXpPhGFtd6M6VZ4C4Q3liq+KvdWazmf379xMKhWhvb2dqaork5GS2bt3K/v37WVxcJBwOs7i4yM2bNzl9+jSnT5/m1KlT9Pb2AvD888/f13jphK/KEzsxYr9QeXk5NTU1a27Z/NUkHA7T09PDv/3bv3HhwgXq6+t58cUXPzcYY7RaLUlJSRQUFFBUVLTmwjEUCmG325mYmMButysrKYXD4SUroGu1WlJSUsjLy6O0tDTRxU642GLMxcXFZGRkUFFRQWVlpbJsodfrVVasLykpYdOmTezZs4c33niDI0eOYDKZCIfD7N27954XGEloON65ZNbFixd5++23OXDgwBdaQUM8OsPDw5w7d44PPviASCTCt7/97SXB+Hm9i0lJSVRVVVFWVrZsAdW1IBKJ4HQ6GRkZ4caNG8zMzBAIBDCZTMpQJ/jkBhQOh0lKSqKsrIzKykrKysrWfButTqfD6/Uqy+jFZhDduXRcSkoK+fn5NDY24nQ6OX36NBcuXCA1NZX6+vp7DseEP7e63W4uXbrERx99pCzFv9YumNWmvb2dw4cP43K5qK6u5uDBg1RXVys//7xhF0VFRezdu5fq6mpMJtOaazqJLUobW/G8tbWV1157jdbWVsbGxoBPFnL1eDy0trbyL//yL3zrW9/iX//1X+9pS4XH3dTUFN3d3USjUcrLy++6nmZDQwNf+9rXCIfDS47xvUh4CvX39/OLX/yCo0eP4na7SUtLIzs7WwJyhQoGg1y9epW2tjYyMjJobGykvLz8nms0X3QR1MeFWq0mLS2N6upq9Ho9ly5dYnFxkZycHLZs2aJc8A6Hg+zsbJKSkvj973/PRx99xNatW3nmmWe+0PJbq100GsXn8zE5OYnT6SQlJYWysrK7LuOWkZFBeXk5RqMRu93O7du3Wb9+PTab7a5jJxO6TYLT6aS9vZ0333wTh8OB0WhUNmoSK9Pc3By9vb1MTk7S3NzMli1bvvBq2GuRRqMhIyODjIwMKisree+99zh16hQ7d+7kpZdeWnbRNjY2cvHiRYaHh3n33XdZt27dmgzHUCjEyMgI4+PjqFQqsrKyKCwsvGtWxDbmslqtzM3NMTAwwMjIyD1tmZCwZ5pgMMhPf/pTDh06REtLC7m5uUp3vFiZXC4Xg4ODyp4yhYWF5OXlrblH4wchHA4zODjI5OQkkUiEgoICsrKyltVmcnJyKCgowGKx4HK51uyg+diGdGNjY8qqXbm5uXcNuFgzRmwV+thWwPciIWe11+uls7OTK1eu4Ha72bFjBw0NDVitVlmAYAVzu92Mjo7icrmUneC+yHYG4pMa+LVr11hYWMBms33mFMpYeKalpVFUVPSF9oJ5HASDQXp7exkbG8NisdzzlNNYD3ZsO1qj0XjPw3kS8lh99OhR3n//fVpaWrDZbExMTGA2m6murn6k+3iI++Pz+ZiZmcHr9So7HsbbdU/c3eLiIn19fSQlJbFt2zYyMjKWvebmzZscPXqUK1euUFVVxbPPPktZWVkCSpt4sf3Mx8fH2blz5z2PaIlEIgSDQYLBIDqdjtLSUgoKCu6pEvZIwzEcDitL5kciEbZu3UpaWhqvv/46fr+frKwsaW9cwWIr68Q6y7RarXScfUGLi4t0dXXhcrkoKChgbGyMtLQ0PB4PHo+H6elp2trauHnzJps3b6a5uZnGxsa4IboWOJ1Obt26hcvlYuPGjfe82ZjD4aC7u5vx8XEMBgO5ublxmy/ieaRn9tjYGMePH8fr9bJ9+3bKysqYn59ncHCQ+fl58vLy1nRP5kpntVopLi4mJSVFeVy5l21FxXIOh4Nr164RCoWw2WxcuXKFkZERXC4XPT093Lx5E6fTSWlpKT/4wQ/Ytm0bJSUla7bZaW5uTtnju7S09J5vEqOjo3z88cd4PB7S09Pj7lj6WR5Zm2MkEqGtrY2f/exndHR0oNPpuHHjBufOnWNoaAifz/el9nsQD19ycrKymEQwGOTs2bNcu3btnjpk/H4/x48f5/z58/h8vkdQ2pVtcnKS0dFR/H4/FouFYDCI3W6nr6+Pc+fOcfbsWdLS0ti9ezctLS2Ulpau2WB0OByMjo7idruxWCz3HI6BQIDbt28zMDBAfn4+L7744n3Nr34k4RgIBLhx4waXLl2iu7ub2dlZ/H4/169f5/LlywwPDxMKhUhNTV1z08lWE5VKRU5ODuvWrUOr1dLV1UVrays3b94kEAjErUXGpsUNDQ3R2dnJ8PDwmq5thsNhZmZmGB0dZX5+ntTUVNavX09xcTFZWVmkp6eTlJSE1WpVhvys9bnVdrudwcFBvF4vSUlJFBYW3nWa6sLCAh9//DHt7e2EQiF27tzJyy+/fF9bAT+Sx2qXy8UvfvELuru7+da3vkV2djZutxuj0YjH42FiYoKqqipKS0vXbG/caqHT6XjppZcIhUL8/Oc/591330Wr1fL888/T0tKyrC1oamqKjz76CLvdTnV1NVVVVWu6XTk2JGVkZIRIJEJDQwPf/e530Wg0yirqzc3NnDlzhg8++IAf/ehHTExMsGfPHurq6hJd/ISYmZlhcHAQh8OBTqcjJyfnrrXonp4e/vZv/5ZLly5RXFzMU089RVNT032Nrnjo4Tg2NkZbWxsej4fa2lr27t2LTqdTqsjT09NKrSMpKUkeq1eBhoYGotEoU1NTXL16lZ6eHsLhMP39/ZSWlpKSkkIoFFKeAubm5rBYLFRWVlJYWLima0KhUEhpY8/OzqampmbZI2JRURGZmZm8//77tLe3U1xcTGlp6ZoNx56eHjo6OsjJyWHjxo2kp6fHfV0wGGRiYoLu7m4+/PBDrly5gs1m42tf+xo7duwgOTn5vr73oYfju+++S2trK6+++ipNTU1kZmai0+mUhSmdTidGo5FQKKTsNyJWtqSkJJqamsjIyKCtrY3W1lY+/vhjDh06BKCsytzQ0MCzzz7Lnj172LhxIykpKWv+5hcbr+fz+Whubv7MFXeqqqrIyckBPql9z83NPcpirijnz5/nzJkz7N+/n5aWls+sNQ4MDHDixAl+9rOf0d3dTV1dHd/4xjf47ne/e1+P0zEPLRw9Hg/t7e24XC7Wr1+/bA/eWCN+bImm1NRUpSdUrHwmk4nq6mqSk5OVO3psiFZsrcKioiI2btxIVVUVmZmZiS7yihAKhbh48SIDAwM899xzn7kvtV6vV4ZJud1uvF7voyxmQnm9Xm7cuEF3dzdtbW288847hMNhOjo6SElJwePxYLVa8Xq9LCwsMD8/z+zsLE6nE7fbrdQW9+zZw86dO7/wHkUPJRzD4TAXLlzg0KFDFBYW8tRTTy3rJfJ6vUxNTXH79m2CwSAGg0GpQYrVQavVUlRURFFREfv27Ut0cVYFp9PJtWvXcDqdlJSUxL1ww+EwfX19OBwO4JMluO62wMLjxOfz0dnZye9+9zuOHDmi7FI5OTlJa2srLpcLs9mMx+NhfHycsbExpqenyczMpL6+ngMHDtDS0kJtbe2Xmtr6UMLxz/7sz+jr6+P69es0NzdTXFzMxo0blZ/39/fT1tZGR0cHra2t+P1+urq6eO2113j66adpbGykpKREeq7FY2d0dBSPx0NqairV1dVx9zfp6Ojg5z//ORcvXsRgMNDc3Ex9fX0CSpsYOp1O2a1yx44dqNVq9Hq9UolKTk5Go9EQDodxuVxotVoyMzNJSkpSFgjOysr60nP+H0o4Xr58mcXFRWXdOp/Pt2T4ht1u5/r16/T19eHz+SgqKsJoNDI2NkZ/fz/5+fkUFBRIOIpVLRqNKtPXFhcX6ezs5MMPP2Rubo6MjAwikYjSlhiJRHC5XExNTfG73/2Ot99+G71eT1NTE7t27aK8vDzBv82jo9frKSsro6ioaNmKT7HJB7EFlaPRKCkpKaSlpT3wcjyUcHz11VeVMExPTyc7O3tJQ3wkEsFoNLJp0ybq6uqU1+r1ejIzM5U2KyFWs2g0itvtZnh4mI6ODn71q19x9OhR4JNHx6tXrzI+Po7b7cbpdNLZ2cnhw4cZHx8H4Dvf+Q7f/OY3aWxsXFND3HQ6nVKj/nTnS7xceFirQj2UcNy/f/+SzYGsVuuSsW2xJc61Wi06nQ6NRqM05Mf2zljrvZpi9YtGo4RCIRYWFpiYmFB20DMYDKxbt47FxUUCgQA+nw+Px0M0GlX2RSkvL+erX/0qW7duveuA58eNSqVaEXP2VVGpognxUITDYZxOpzJOLxQKKTf92M6DscsvEolgtVopLCyktLSU/Pz8+9opTzx4Eo5CPCTRaFRpb5ybm0OtVivhGGuLvLPtzGAwkJKSonQ4iMSScBRCiDhkfXshhIhDwlEIIeKQcBRCiDgkHIUQIg4JRyGEiEPCUQgh4pBwFEKIOCQchRAiDglHIYSIQ8JRCCHikHAUQog4JByFECIOCUchhIhDwlEIIeKQcBRCiDgkHIUQIg4JRyGEiEPCUQgh4pBwFEKIOCQchRAiDglHIYSIQ8JRCCHikHAUQog4JByFECIOCUchhIhDwlEIIeKQcBRCiDgkHIUQIg4JRyGEiEPCUQgh4pBwFEKIOCQchRAiDglHIYSIQ8JRCCHikHAUQog4JByFECIOCUchhIhDwlEIIeKQcBRCiDj+H3QewsD8PVe8AAAAAElFTkSuQmCC" alt="" />

Solution for the question - charges +q and q are placed at points a and b respectively which are adistance 2l apart, c is the mid-point between a and b. the wor

Charges +q and q are placed at points a and b respectively w-Turito

The electric potential on the surface of shell <img src="data:image/png;base64,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" class="Wirisformula" alt="V subscript A end subscript equals fraction numerator 1 over denominator 4 pi epsilon subscript 0 end subscript end fraction. fraction numerator q subscript a end subscript over denominator a end fraction plus fraction numerator 1 over denominator 4 pi epsilon subscript 0 end subscript end fraction plus fraction numerator q subscript b end subscript over denominator b end fraction plus fraction numerator 1 over denominator 4 pi epsilon subscript 0 end subscript end fraction. fraction numerator q subscript c end subscript over denominator c end fraction" width="319" height="41" style="vertical-align:-17px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«msub»«mrow»«mi»V«/mi»«/mrow»«mrow»«mi»A«/mi»«/mrow»«/msub»«mo»=«/mo»«mfrac»«mrow»«mn»1«/mn»«/mrow»«mrow»«mn»4«/mn»«mi»π«/mi»«msub»«mrow»«mi»ε«/mi»«/mrow»«mrow»«mn»0«/mn»«/mrow»«/msub»«/mrow»«/mfrac»«mo».«/mo»«mfrac»«mrow»«msub»«mrow»«mi»q«/mi»«/mrow»«mrow»«mi»a«/mi»«/mrow»«/msub»«/mrow»«mrow»«mi»a«/mi»«/mrow»«/mfrac»«mo»+«/mo»«mfrac»«mrow»«mn»1«/mn»«/mrow»«mrow»«mn»4«/mn»«mi»π«/mi»«msub»«mrow»«mi»ε«/mi»«/mrow»«mrow»«mn»0«/mn»«/mrow»«/msub»«/mrow»«/mfrac»«mo»+«/mo»«mfrac»«mrow»«msub»«mrow»«mi»q«/mi»«/mrow»«mrow»«mi»b«/mi»«/mrow»«/msub»«/mrow»«mrow»«mi»b«/mi»«/mrow»«/mfrac»«mo»+«/mo»«mfrac»«mrow»«mn»1«/mn»«/mrow»«mrow»«mn»4«/mn»«mi»π«/mi»«msub»«mrow»«mi»ε«/mi»«/mrow»«mrow»«mn»0«/mn»«/mrow»«/msub»«/mrow»«/mfrac»«mo».«/mo»«mfrac»«mrow»«msub»«mrow»«mi»q«/mi»«/mrow»«mrow»«mi»c«/mi»«/mrow»«/msub»«/mrow»«mrow»«mi»c«/mi»«/mrow»«/mfrac»«/math»'/> Or <img src="data:image/png;base64,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" class="Wirisformula" alt="V subscript A end subscript equals fraction numerator 1 over denominator 4 pi epsilon subscript 0 end subscript end fraction. fraction numerator 4 pi a to the power of 2 end exponent sigma over denominator a end fraction plus fraction numerator 1 over denominator 4 pi epsilon subscript 0 end subscript end fraction. fraction numerator 4 pi b to the power of 2 end exponent open parentheses negative sigma close parentheses over denominator b end fraction plus fraction numerator 1 over denominator 4 pi epsilon subscript 0 end subscript end fraction. fraction numerator 4 pi c to the power of 2 end exponent sigma over denominator c end fraction" width="430" height="44" style="vertical-align:-17px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«msub»«mrow»«mi»V«/mi»«/mrow»«mrow»«mi»A«/mi»«/mrow»«/msub»«mo»=«/mo»«mfrac»«mrow»«mn»1«/mn»«/mrow»«mrow»«mn»4«/mn»«mi»π«/mi»«msub»«mrow»«mi»ε«/mi»«/mrow»«mrow»«mn»0«/mn»«/mrow»«/msub»«/mrow»«/mfrac»«mo».«/mo»«mfrac»«mrow»«mn»4«/mn»«mi»π«/mi»«msup»«mrow»«mi»a«/mi»«/mrow»«mrow»«mn»2«/mn»«/mrow»«/msup»«mi»σ«/mi»«/mrow»«mrow»«mi»a«/mi»«/mrow»«/mfrac»«mo»+«/mo»«mfrac»«mrow»«mn»1«/mn»«/mrow»«mrow»«mn»4«/mn»«mi»π«/mi»«msub»«mrow»«mi»ε«/mi»«/mrow»«mrow»«mn»0«/mn»«/mrow»«/msub»«/mrow»«/mfrac»«mo».«/mo»«mfrac»«mrow»«mn»4«/mn»«mi»π«/mi»«msup»«mrow»«mi»b«/mi»«/mrow»«mrow»«mn»2«/mn»«/mrow»«/msup»«mfenced separators=¨|¨»«mrow»«mo»-«/mo»«mi»σ«/mi»«/mrow»«/mfenced»«/mrow»«mrow»«mi»b«/mi»«/mrow»«/mfrac»«mo»+«/mo»«mfrac»«mrow»«mn»1«/mn»«/mrow»«mrow»«mn»4«/mn»«mi»π«/mi»«msub»«mrow»«mi»ε«/mi»«/mrow»«mrow»«mn»0«/mn»«/mrow»«/msub»«/mrow»«/mfrac»«mo».«/mo»«mfrac»«mrow»«mn»4«/mn»«mi»π«/mi»«msup»«mrow»«mi»c«/mi»«/mrow»«mrow»«mn»2«/mn»«/mrow»«/msup»«mi»σ«/mi»«/mrow»«mrow»«mi»c«/mi»«/mrow»«/mfrac»«/math»'/> <img src="data:image/png;base64,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" class="Wirisformula" alt="open parentheses because q equals 4 pi r to the power of 2 end exponent sigma close parentheses" width="105" height="19" style="vertical-align:-3px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mfenced separators=¨|¨»«mrow»«mo»∵«/mo»«mi»q«/mi»«mo»=«/mo»«mn»4«/mn»«mi»π«/mi»«msup»«mrow»«mi»r«/mi»«/mrow»«mrow»«mn»2«/mn»«/mrow»«/msup»«mi»σ«/mi»«/mrow»«/mfenced»«/math»'/> <img src="data:image/png;base64,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" class="Wirisformula" alt="o r blank V subscript A end subscript equals fraction numerator sigma over denominator epsilon subscript 0 end subscript end fraction left parenthesis a minus b plus c right parenthesis" width="157" height="37" style="vertical-align:-17px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»o«/mi»«mi»r«/mi»«mi» «/mi»«msub»«mrow»«mi»V«/mi»«/mrow»«mrow»«mi»A«/mi»«/mrow»«/msub»«mo»=«/mo»«mfrac»«mrow»«mi»σ«/mi»«/mrow»«mrow»«msub»«mrow»«mi»ε«/mi»«/mrow»«mrow»«mn»0«/mn»«/mrow»«/msub»«/mrow»«/mfrac»«mo»(«/mo»«mi»a«/mi»«mo»-«/mo»«mi»b«/mi»«mo»+«/mo»«mi»c«/mi»«mo»)«/mo»«/math»'/>

Solution for the question - consider three concentric shells of metal a, b and c are having radii a, band c respectively as shown in the figure (a < b < c). the

Consider three concentric shells of metal a, b and c are having-Turito

Work required to set up the four charge configuration (as shown in the figure) is <img src="data:image/png;base64,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" alt="" width="132" height="142" />

Solution for the question - work required to set up the four charge configuration (as shown in thefigure) is +2.82q^(2)//epsilon_(0)a   -1.41q^(2)//epsilon_(0)a

Work required to set up the four charge configuration (as shown-Turito

The points S and R are inside the uniform electric field, so these will be at equal potential.

The points resembling equal potentials are <img src="data:image/png;base64,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" alt="" />

Solution for the question - the points resembling equal potentials are p and rs and rs and q   p and q

The points resembling equal potentials are-Turito

When a positive charge is moved from one point to another in an electric of magnetic field, then under the influence of the field force acts on the particle and an external agent will have to do work against this force. But in the given case the charge moves under influence of no field, hence it does not experience any force therefore, no work is done. <img src="data:image/png;base64,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" class="Wirisformula" alt="W subscript A end subscript equals W subscript B end subscript equals W subscript C end subscript equals 0" width="132" height="17" style="vertical-align:-5px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«msub»«mrow»«mi»W«/mi»«/mrow»«mrow»«mi»A«/mi»«/mrow»«/msub»«mo»=«/mo»«msub»«mrow»«mi»W«/mi»«/mrow»«mrow»«mi»B«/mi»«/mrow»«/msub»«mo»=«/mo»«msub»«mrow»«mi»W«/mi»«/mrow»«mrow»«mi»C«/mi»«/mrow»«/msub»«mo»=«/mo»«mn»0«/mn»«/math»'/>

In the following diagram the work done in moving a point charge from point P to point A, B and C is respectively as <img src="data:image/png;base64,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" class="Wirisformula" alt="W subscript A end subscript comma blank W subscript B end subscript a n d W subscript C end subscript" width="109" height="17" style="vertical-align:-5px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«msub»«mrow»«mi»W«/mi»«/mrow»«mrow»«mi»A«/mi»«/mrow»«/msub»«mo»,«/mo»«mi» «/mi»«msub»«mrow»«mi»W«/mi»«/mrow»«mrow»«mi»B«/mi»«/mrow»«/msub»«mi»a«/mi»«mi»n«/mi»«mi»d«/mi»«msub»«mrow»«mi»W«/mi»«/mrow»«mrow»«mi»C«/mi»«/mrow»«/msub»«/math»'/> then <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAARQAAADuCAYAAAD4DviyAAAgAElEQVR4nO3dWVBc153H8W/vCzQ7TbPv+yKBhCVZEtpiybbsyLHHS1KZqZlJpfI2NTWVqtTUvORhal6npmbLZKaSlCe2E9lxbClCtiSsDW0gJLQgoNl36Kahu1maXu88aOhItmTLccPtRudTxYPNBf404se55/zvOQpJkiQEQRAiQCl3AYIgbBwiUARBiBgRKIIgRIwIFEEQIkYEiiAIESMCRRCEiBGBIghCxIhAEQQhYkSgCIIQMSJQBEGIGBEogiBEjAgUQRAiRgSKIAgRIwJFEISIEYEiCELEiEARBCFiRKAIghAxIlAEQYgYESiCIESMCBRBECJGBIogCBEjAkUQhIgRgSIIQsSIQBEEIWJEoAiCEDEiUARBiBi13AV83tLSEoFAALVaTVxc3BfeHwqFkCQJpVKJQqGQoUJBEB4nqgJleXmZwcFBVlZW0Ov1ZGVlkZycjFL5x4GU2+0mEAiQlJSEWh1V5QvCU0/W38iFhQW6urq4desWt2/fxuPxYDab0Wg0+Hw+JicnSUhIYOfOndTV1ZGens7NmzdZXl7mwIEDJCYmylm+IAifs+6BIkkSHo+HqakprFYrnZ2dXL9+ndbWVrRaLTt37iQhIQGXy0VrayuSJLG4uMjs7CwWi4W7d++i0+nYuXOnCBRBiDIKSZKk9fyCbreb3/72txw/fpxbt27R2NjIvn37yM/PJz09nbi4ONRqNX6/H6fTydDQEJ2dndy6dYuZmRk2bdrEc889x5EjR0hOTl7P0gVB+ArrNkIJhUIMDw9z4cIF3n77bfr6+khJSaGqqoqmpiZqa2sf+XH19fUYDAba29vp6uqipqaGgoICtFrtepUuCMITWrdAmZub43/+5394++23mZiYYM+ePfzTP/0TVVVVJCQkPPbj4uPjOXLkSPi2KCsri7y8PBEoghCF1iVQhoaGOH78OL///e+Zmpri4MGDfPe736WhoQG9Xv+VH6/VasnPz6eoqIjy8nJycnLQaDTrULkgCF/HugRKW1sbv/zlL+np6aGkpISf/OQn7N2796Hl4K9isVh45plnKCsrE6MTQYhSaxooy8vLWK1WLl68iNVqJTc3l29961uUlJR8rTAByMjIYNOmTaSmpq5RtYLwZCRJemxT5Ze972mwpoEyNzfHH/7wB86ePcvy8jIHDx7k0KFDpKSkfO3PlZWVRWNjowgUQXargWG325mbm0On05GQkEBSUtLX/kO50axpoNhsNt599126u7sB2LZtG01NTRiNxq/9uXJycsjIyBC3O0LUaG5u5uOPPyY/P5/du3fz4osvPtGc4Ea2poEyNTXF2NgYcH+EUVRU9CeNTgA0Go2YiBWixtLSEl1dXZw5cyY8MnnhhRfkLkt2axIooVCI2dlZJiYmUKvVKJVKKioqSEtLW4svJwjryuPxMDAwwPj4OAsLCywsLNDZ2YnH48FgMMhdnqzW5IYvFAoxNjbG0NAQPp8Pi8VCXV2dCBRhQ3A6ndy4cYOBgYHw/3O5XHR3d7OysiJjZfJbs0CZm5vD4XAQCARISUmhoKCA+Pj4tfhygrCupqamuHr1KoFAIPz4h9vtpqOjg5GREZmrk9eaTUkrFIrwbLhKpUKv16NSqdbqywnCuunv7+fSpUvU1NTw4x//mNzcXCYnJ7ly5QqDg4NylyerNQkUhUKBWq0WASJsKH6/n5GREebm5sjKymLXrl3s37+f1NRUlpaWaGtre+g26Gm0Zqs8er0eo9GIUqnE6/WyuLiI3+9fqy8nCGvO4/HQ3t7OysoKb7zxBnv37kWtVofbIAYHB+nv78flcj21W2usyQhFpVKRn59Pfn4+oVCIwcFB2tvbcbvd4Wu+zq4JHo8Hr9e7FqUKwhNbWVnh1KlT9Pf309jYSHFxMYmJiWzdujW84DA6Okp3dzeLi4syVyuPNQkUpVJJZmYmZWVlZGVl4fP5uHbtGr29veFrnqQ92e/343K5sNlsT+0PSIgeTqeT3t5eXC4XRUVFwP2R+O7du9mzZw9KpZKhoSGuXbuGw+GQuVp5qH7605/+dK0+uSRJLC0tMTY2xujoKB6PB51OR3Fx8VfuBxsIBOjo6ODWrVvMzs6i1+vFsrMgm9nZWbq7u3E4HGzatIndu3cDoFarycjIwOVy8dlnnzE1NYVCoWDXrl1kZGQAT9fzPWvaKWuxWDh8+DBqtZq2tjbMZjN2u52enh7i4+NxOp3hF1ulUqHT6YiPjyctLS28q71Go8FoNIqWe0EWkiQxPz/PuXPnaG9vJxQK4fV6aW9vx2AwsLKyQigUYmVlhYSEBOx2O7du3eLSpUtkZmaSmpr6VD3fs6ZbQEqShN/vx+/34/V6cbvdjI+Pc+fOHfr6+piYmMDv96PVatHr9VgsFiorK6mvr6esrOyhH4RKpRKrRsK6m52d5ebNm/zyl7/k2rVrFBQUkJSUhEqlemjUsbS0xMzMDIODg7jdbhoaGvjOd77Dj370o6dqq9I1G6Gsjjy0Wi1arZa4uDhSUlLQ6/VIkkRKSgoul4tgMIhKpUKj0ZCYmIjFYiE5OTn8/wRBTmNjY7S2tpKSksJrr71GSUkJBoMBj8cT/jeuUCjQ6XSoVCree+89Tpw4QVtbGxkZGbz11lsiUCLhcfeMFosFi8WyVl9WECJqdHSUzs5Ojhw5wne+852vDIepqSlOnDgBwMDAAJOTk+Tn5z81cyhPz82dIHwNoVAIt9uNzWZjZWWFpKSkJxpplJaW0tTUBMD8/DzXr1+nv79/rcuNGrIFis/nw+Vysbi4iM/n+1p9KYKw1lZWVujs7MRut5Ofn4/ZbH6ijystLeWll16isLAQh8NBS0sLt27dWuNqo4dsgTIzM8OlS5e4desW09PT+Hw+uUoRhC9wu90cP34cm83GgQMHKCgoeKKPKy8v5/nnn6egoACfz8exY8e4fPnyGlcbPWQLlMHBQd555x0+/PBDrl+/LhrXBNmFQiEWFhYYGBjgxIkTnDp1isHBQfR6PcFgEL/f/6Uj6VAoFJ6offC6K1eucPToUaxWK263+ys/TyyT7WzjwcFBfvOb35Cbm4taraahoUHsFyvIyuPxMDIywqlTpzh58iR3795FpVIxMTER7id53DakkiSFz+O+e/cuCwsL4ff19vbyb//2bxw5coT9+/eTm5tLUlLSVzZ3xiLZvqNQKBRuEtrIiS3EjpGRES5cuEBnZydut5v8/HxUKhVXr17FZrNRW1vL/v37HxkowWAQp9NJe3s7n376KUqlkoKCAtRqNWq1Go/Hw8WLF1lYWODw4cNUVlYSFxe34VZ/ZAuU1UY1nU6HRqPZcC+sEHtWVlZYXl4mJSWFzZs3o9VqCQQCBAKB8PtCodAjP1aSJILBYLg/ZfPmzRgMBiRJCr/P7XazsLCAz+d77OeJdRtvzCUIf6Ly8nIyMzPDq45KpTI8L6JSqTAajY89NletVpOens7hw4fZvXs3KpUq3On9YKio1WpSUlIwGo0b8o+o7IGy2mm4EV9cIbbExcURFxf3ldetrKzgdDoxGAzEx8eHnzvTarWkp6eTnp6+DtVGJ9kb21bnTsQcihArZmZmOHfuHF1dXSwsLGzY25c/heyBsrS0xPz8PIFAQO5SBOFLrXbPXrlyhV/84hd88MEH3LhxQ7Q8PEC2W57VW5ylpSWcTqcIFCHqBYNB7HY7nZ2dnD59mtnZWUpKSqioqHhqt3z8PNlHKGL+RIgVqxOrq7c4q6dZin+/fyR7oIAIFSE2rO7vEwwGUSqVGAwGjEbjhmxQ+1NFRaAIQiyQJAmPx8PKygqSJKHVajEYDE/VjmxfRbZXQpKk8NBRjE6EWLC61ePqCQw6nQ6DwSB2EnyAbIGiVCrDP4jV5iFBiGarIxSv1ytGKI8h2yuxuov96nMOYi1fiHarI5TVA9F1Oh1Go1GMUB4gW6DodDqSkpJQKBQsLS0RDAblKkUQnsiDIxS4v8qj0+nECOUBsr0SarUag8EQTn0xQhGinSRJD41QVm/bxRzgH8kaKHq9Hq/XKzplhZiwumy8+m9Vr9cTHx8vbnkeIFugaDQa4uLi8Pl8zM3NiYPUhagnSVJ4OwMAg8FAQkKC6EN5gKyTsqmpqej1egKBAB6PR65SBOGJhEIhlpaWWF5eBu7v6aNWq8UtzwNkn5Q1GAwA4ftSQYhWqw8Hrj4MqNVq0el0MlcVXWQLFJVKhcFgQKPRPDQxK/pRhGgVDAaZm5sL7xdrMplEoHyOrIGi1+vDgbKwsPDQxr6CEG2CwSDz8/MsLy9jMpmIj4+Xu6SoI/uysUajCf+gXC6XGKEIUWt1hOLz+UhLS8NoNMpdUtSRdVJ2dW/NUCjE8vJyeINfQYhGoVCI2dlZPB4PycnJT7Rd5NNG1knZlJSUh5rbxOmBQjRbPT5XkiTS0tJEoDyCrHMoOp0OtVqNJEl4vV5xxrEQ1Vb7pQwGAxaLRcyhPIJsgaLVasPLxg+eWSICRYhGi4uL2O12/H4/RqOR9PR0MUJ5BNkCxWg0kpmZiclkIhAIYLPZcDgcIlCEqOR0OrHZbPh8vvD832oPlfBHss6hZGVlER8fjyRJzM3N4XQ6RaAIUcntduNwOPD7/SJQvoSsz10nJSVhMpmA+38BxLKxEK0WFhaYn58Pz6GkpqaKZeNHkH0jh+TkZEwmE263m9nZWREoQlRaWVlhcXERv9+PVqsVI5THiIpAMZvNuFwu7Ha7CBQh6kiShNvtZn5+nmAwiMlkIiMjQ6zyPEJUBEpqaipOp5PZ2Vm5yxGER5qdnWVychKFQkFaWhr5+fli24JHkD1QkpKSSE9PJxgM4nQ6cTqdcpckCA9RKBTYbDamp6cxmUyYzWYxf/IYUREoZrMZrVbL4uIik5OTomNWiCqSJGG327Hb7ZjNZiwWi9iy9DFkD5TExMRwoKysrOBwOMIb2AhCNPD5fMzOzuJyuUhLS8NsNotNlR5D9kBJSEjAbDaj0+nCgbK0tCR3WYIQNj8/H267t1gsZGRkiEB5DNkDZXWEotPpWF5exmaziX1RhKixsLDA4OAgTqcTnU5HXl4eFotF7rKiluyBkpaWRl5eHvHx8Xg8HkZGRpifn5e7LEEAwOVyMTg4yPz8fDhQMjMzxQjlMWQPFK1WS2FhIenp6Xi9XqxWKzabTe6yBAG4HyhDQ0MPjVBEoDye7IEC9x8ULCwsxGQyYbVamZmZkbskQQDu3/KMj4+zvLyM0WgM356LQHm0qAgUpVJJUVERaWlpjI2NMT09LXdJggDcD5SxsTGCwSApKSkkJSXJXVJUi4pAUalUZGRkkJqaitfrZWZmRrThC1HB6XQyMDCAXq+nsLBQ7HL/FaIiUNRqNTk5OWRmZgJgs9kYGRkR/SiC7Ox2e7hDtqCgAK1WK3dJUS1qAqWwsJCCggJUKhV2u52hoSERKIJsgsEgNpuN8fFxFhYWSElJIT8/X4xQvkLUBEpBQQF5eXmo1WpmZ2fFCEWQlcfjobu7m6GhISRJIicnh7KyMvR6vdylRbWoCBSlUkl8fDzZ2dnExcXhdDoZGhoSHbOCbJaWlrhz5w5DQ0MoFAoKCwtFoDyBqAiUVYmJieTk5LCyskJPT48IFEE2Xq+XgYEBbDYbRqORgoICioqKxBzKV4iqQImPj6egoABJkhgeHhZbGQiyWVpawmq14nK5yMrKIjs7W+6SYkJUBUpcXByFhYUYDAbsdjs2m00sHQuycDqddHd34/P5qK2tJTU1Ve6SYkJUBUpCQgJVVVWYzWaWl5cZGRlhbGyMQCAgd2nCU2J1u8eBgQEcDgcmk4nq6mpSUlLkLi0mRFWgJCYmUldXR15eHqFQiL6+PqxWK36/X+7ShKdEKBSit7eXu3fv4vf7yczMpKqqSgTKE4qqQImPj6esrCx8v2q1Wunp6REjFGHdSJLE+Pg4AwMDeDwe0tPTqaurIy0tTe7SYkJUBQpASkoK2dnZJCUlMTo6Sk9Pj9gSUlg3oVCI4eFhhoaGAMjMzKSwsFCs7jyhqAsUgLy8PCorK5mbmxO3PMK6CgaD3Lt3j/7+fnJzcyksLBS9J19DVAZKVlYWlZWVAExOTjI6OipWe4R1MTY2xuDgIAsLC5SWllJYWBi1WxUEAgEcDgejo6PhNotgMChrTVF5sIjFYqGyspKkpCTm5+e5ceMGaWlpFBUVyV2asIGNj49z/fp1pqamMBqN1NbWkp+fL3dZjxQKhZiYmAh38wYCAWpra6msrJS1ZyYqAyU3N5f6+noSExMZGhri3r17VFdXi0AR1tTY2BhXr15lamqKhIQEtm7dSmlpqdxlPUSSJMbGxjh58iSdnZ1MTk4yOztLKBTi3LlzlJSUsHnzZp599lmKi4vDH7Neo6yoDBSTyURFRQVms5menh56enqYmJiQuyxhgxsZGaG9vZ3FxUVKSkqoqakJb6kRLWZmZmhtbeXf//3fuXPnzhfer9VqaWhoIBQKhQNlPW/ZonIOBe4vIZeWlpKSksKdO3cYHh6WuyRhgxsdHaW3t5fk5GSqqqqicqm4ubmZ//7v/w6vQn2ez+ejs7OTM2fO0NLSsu6Pr0RtoGi1WkpKSsjOzmZ6elo8fSysmUAgwMjICENDQ8zPz5Ofn09dXV3UHYbu9Xrp6Ojg/PnzLC4uPva6lZUVbt++zaVLl9b9vPCoDZTVR8aLi4tRKpUMDw9z/fp1XC6X3KUJG4zT6aStrY2+vj4UCgWVlZXU1tZGXe/J6oFjT7Li6XA46Onpwe12r0NlfxS1gaJSqaitraW+vh6dTsfw8DBtbW3Y7Xa5SxM2GJfLxdWrV+nr60Oj0VBdXU1dXV3U7c7m9/tZWVl5omtXVlZwuVzr3sMVtYGiVquprKykvr6e1NRUpqenuXLlijhiQ4g4h8MRXi5OS0ujoqICi8WCSqWSu7SHqFSqJx41aTQajEYjavX6rrtEbaCsWm1yCwaDtLe3MzY2JndJwgay+uxOf38/Op2O+vp6MjIy5C7rkZKSkkhMTHyia5OTkykpKVn3eaCoD5TU1FS2bt1KWloa4+Pj9PX14XA4ZO8IFGJfIBDAarVy+/ZtZmZmyMzMZOfOnaSnp8td2iMZjUaqq6vZtGkTBoPhsdepVCoqKirYtm3buj8lHfWBkpiYyO7du6mtrQXg5s2bXLp0Saz4CN+Y1+vlzJkznD59mmAwSFlZGXv37o3aEQrASy+9xI9+9KMv7YatqqriwIEDHDp0aN3DMSob2x5kMpmor6+nqqqKTz/9lNu3b9Pa2sr27dtJSEiQuzwhhi0vL9PR0UFPTw+JiYnU1NRQWVkZdcvFDyosLOTAgQPYbDZu3LiB3W7H7XYTCoVITEyksLCQhoYGmpqawqOYp75T9kEqlQqLxUJZWRnp6ekMDg7S1tbG4uIiZrNZ7vKEGGa32+nt7WVhYYGdO3dSV1cX9UeNKpVKSkpK+PGPf8zw8DC3b99mcHAw/CxPdXX1F7ZbWM9O2agPlFUFBQVs376dTz75hNHRUe7du4fFYsFoNMpdmhCDBgYGOHfuHENDQ8TFxfHss89SXl4ud1lPRKlUEhcXR1lZGUlJSdTV1REKhTCbzaSmpq77ys6DYiZQ8vLy2LNnD7du3cJut9PR0UFubi51dXVR+3i5EL1u377Np59+ytzcHKWlpezYsYOCggK5y/paNBoN2dnZUbUjf9RPyq7Ky8tj9+7d5OTk4Ha7aW9vp6enR4SJ8Ce5c+cOFy5cQJIkysvL2bRpk9jZPgJiJlB0Oh3FxcVUV1eTmppKV1cXt2/f/tJnGgTh8wKBAIODg3R3d+N0OikvL+eZZ54R83EREjOBAvfX4bdv305jYyNjY2N0dHQwPDws9pwVntjMzAwXLlygv78fjUbDc889x969e1EqY+pXIWrF1KuoVqvZvn07+/fvR6fT0d3dzenTp0X3rPDEpqamOHnyJFarFZPJxObNm6murpZ1InMjialAASgtLWXXrl0UFhYyOztLc3MzPT09cpclxIiBgQEuXryI2+2moKCA4uJi4uLiYmYuLhAI4PP58Pv9X3jz+XzhN7/fTyAQIBQKrWt9MRnLmZmZ7NixA5fLRUdHB11dXezZsyeqG5IEeXm9Xrq7u7l27Rp2u53i4mIOHjyIxWKRu7QnJkkSd+/eZWRk5KEH/4LBIMFgkEAgQDAYRKFQoNFoSEpKoqysbF3b72MyUJKSkti1axd9fX2cP3+eW7du0dXVRW1trehLER7J4/Fw4cIFrly5QiAQYPPmzTz33HNRuSvbl5mcnKStrQ2Xy0UgEECj0aBWq9Hr9ZhMJrRaLZIk4ff7UalU9PT0kJeXR3FxMWaz+UufAYqEmAwUo9HIjh076Ozs5Pz583R2dvLZZ5+Rm5srAkV4pIWFBVpaWrh+/ToGg4GGhgZ27doVdZsofRWlUondbuf48eNMT09jMpkwm82UlJTQ2NhIUlISfr+fmZkZuru7uXHjBomJiXz/+9/n8OHD1NfXr2l9MRkoWq2WoqIiampqyM3NZXJykkuXLvHyyy+TlZUld3lClJmdneXy5cvcvn0blUrF/v37qa+vj7kwASgpKWH37t3Mzs5y4cIFHA4HBQUF1NfXs3XrVjIzM/H7/eHtU+fm5ujv7+fYsWNotVqysrJIT09fs1WtmAwUuL/iU1FRwY4dO/jkk0/o7OxkaGiIqqoqFApFzEyyCWtLkiSuXLnCsWPHmJqaoqSkhLfeeouamhq5S/vaFAoFJSUlWCwWEhMTUSqV/O53v6OhoYHvfve7lJWVPXTK4cGDBzGZTLzzzjucO3cOk8nEtm3b0Ov1T7yvytcVc6s8DyoqKuLb3/42hYWFTExM8OGHH9LS0iLCRAjz+Xy0tbVx9uxZJEmiqqqKXbt2kZubK3dp38jk5CTj4+PA/UWK6urqLxyZqtFoyMnJCX+vc3NzjI2NrWkzaEwHSkZGBrt372bTpk0olUpaWlo4deoUc3NzcpcmRAGfz0dfXx8dHR1MTU1RVFREY2NjzD2z83lOpzPc1Gk0GsnJyXnkdpWBQIC4uDiSk5PR6/X4/X6cTider3fNaovpQFEqlWRnZ7NlyxZqamqYnJzk2rVr3Llzh4WFBbnLE2Q2NDTE73//e+7evYtWq+Xb3/42e/fujflzst1uN9evX8ftdrNnzx4KCwsfe61SqUSpVKJQKJAkac2/95gOFLi/X8qOHTt44YUX0Ol03Llzh+bmZqxWq9ylCTIKBoPcunWLTz75hPn5ecrKyti1axfV1dVyl/aNBAIBxsfHmZqawmAwsHXr1sc+baxWq5mammJ4eBiPx4PRaFzzpeOYDxSAxsZGXn31VcrLy3E6nXzwwQe0t7fLXZYgE6/Xi9Vq5dKlS1y9ehWTycSuXbuoqanBaDTG7BybJEmMjIzQ29uL3+/HYrFQU1Pz2G0efT4ft2/f5ubNm8D9KYLS0tI1m5CFDRIocH9rvEOHDlFaWsrIyAiXL1/m+vXrLC8vy12asM6cTie/+c1vOHHiBKFQiJ07d/Laa69F9V6xT8pmszEyMoLH4yE1NZWamppHtko4nU7+8Ic/cPr0aSYmJigvL+fZZ5+lsLBwTXu1YnbZ+PNMJhPPP/88c3NzDA8P09HRwcmTJ0lOTg4fGi08Hbq7u/noo48YGBggIyODAwcO0NTUFJN9J583PDzMvXv38Hg8qNVqlEolHo8HIDxH4vP5OHPmDL/73e8YGBjAYrFw+PBhmpqaSE5OXtP6Nkyg6HQ6tm3bxsTEBC0tLVitVj788EN27twpAuUpcu7cOY4ePUpfXx9ZWVm88cYbbN26dUOEiUKh4Pr165w6dQqAsbExPvzwQwoLC9HpdASDQUZGRmhra+PatWvMzMyE5xcPHz68Lr8HGyZQFAoFer2euro69u/fzwcffMCtW7c4f/48ubm54TOShY3L4XDQ0tJCS0sLfr+fzZs3c+TIEcrKyuQuLSLcbjfDw8MEg0GSkpIoKirC7/czOTlJIBAgEAgwMTHB9PQ0iYmJFBUV8corr3Dw4EEqKyvXpcYNEyircnNz+e53v8vk5CQnTpzg/fffR6PR8Ld/+7fiaeQNbGFhgbt373L+/HmsVitFRUXs2rWLnTt3otFo5C7vG/N6vQwNDeFyuVCpVLz00kvs37+fsrIypqamGBkZCR/fu23bNoqLiykuLiYhIeELDW9racMFSmJiIvX19ezcuZOuri6GhoY4d+4c+/fvZ8uWLVF3ALYQGXfv3uXdd9+lo6MDnU7Hq6++yre+9a0NESZwv8vVarXicDgwGo3U1NTQ0NBAVlYWGRkZ4aXj1bZ6uU6E2HCBAve3N3j22WcZGhri6NGj3Llzh9OnT6PX62loaJC7PCHCAoEAly5d4oMPPmB5eZlt27bx+uuv09jYKHdpEWO328NHpur1evLz8ykoKCAxMZH09HRKSkrkLhHYoIECsHXrVpRKJb29vbS2tvK///u/aLVaSktLMZlMcpcnRIjL5eLTTz8NP3KxdetWXn311Zhvr/+8yclJWltbmZqawmKxkJeXt6b9JH+qDTtLGRcXxzPPPMPBgwcpLS1lYGCAM2fOcPXqVZxOp9zlCRHS3d3N73//e27cuIHRaOTAgQM8//zza748ut6mp6fp6uoC7s8TRuvGUBs2UOB+6/Gbb77JX/3VXxEfH8/Vq1f52c9+xr179+QuTfiGQqEQvb29nD17ljNnzuBwOCgrK6OpqYm6uroNM3cC9/tL7HY7DoeDvLw8du3aFbUbiW3oQFGpVOENafbt24der6e1tZWzZ88yNDS07hv4CpEzOzvL8ePH+eijj5idnaW6uprvf//71NXVha+J9YcA4Y/PJHV3dxMKhairq6OpqSlqz2De0IGyqrS0lDfeeIP6+npsNhuffvopJ0+eZH5+Xu7ShD+B2+3m9u3bHD16lLa2NhISEjhy5Jye+ZEAABKBSURBVAg/+MEPyMnJCV8Xq8/sPGh6eppTp05x8+ZNFAoFRUVFlJaWRu2xH6qf/vSnP5W7iLVmNBrJysrC4XDQ1dXFyMgIi4uLVFZWkpWV9ci9JIToderUKX7+859z9uxZEhIS+OEPf8grr7xCaWmp3KVFhN1up7u7m66uLj755BN+/etfc/v2bQAMBgMqlYpAIIBOpyM+Pj6qgnPDj1AkSUKhUJCenk5TU1N4P4y2trZw8vv9frnLFJ5AMBhkYGCAEydOcOLECVQqFbt37+bNN99ky5YtcpcXMU6nk76+Ptrb27l58yZ2ux2NRkNaWhpLS0t0dXXR29vLzMxM1N3WRee4KYIeTO+Ghgb+5m/+hoWFBU6ePMnPfvYzXC4XmZmZ5OXlyVil8DirfxDg/iFd//Iv/8KxY8fw+/289NJLvP7665SWlm6IZ3VWrYaEwWCgoqKC3NxcgsEgKpUKjUYTPi4jEAjIXOkXbfhAeVB8fDxbt27ltddew+PxcO7cOZqbmykoKODw4cPr9ryD8ORWw2RiYoLm5maam5uZnZ2loqKCw4cPs3fv3qidoPxTJSQkUFxcTEZGBqFQCJ1Oh1KpRJIkAoEAkiSh1+tJS0uLqtsdeMoCBe4fwfFnf/ZnpKSkMD09TU9PD//8z/8c3tA32u5Jhfu3AO+88w4ffPABIyMjlJSU8NJLL3HgwIENObLMyMjAbDZ/5XXReLrDUzEp+6DVp5Lj4+NRq9XMz89jtVqZm5sjGAxSVFREXFyc3GU+1R68zRkbG6O5uZl33nmHu3fvkpiYyCuvvML3vvc9ysvLN+SE+mpQPMlbtHnqRiirsrKyeOuttwgGg4yPj9Pe3o7f76eoqIgDBw6g1+uj8gf2NFh93ZeWlmhpaeHo0aN0dnai1+vZu3cvL7/88oZ6TmcjeepGKKuUSiUJCQnExcURHx/P6Ogo3d3dzMzMAFBbW7sh//pFswdHJna7nZMnT/LrX/+aCxcuoNfref755/m7v/s7GhsbN1Qn7Eby1I5Q4P5fwqqqKiRJYnx8HKfTyZUrV1Cr1WRkZLBt27bHbgAsRN5qmMzPz3P+/Hk++OADrl27RjAYZN++fbz22mts27ZN5iqFL/PUjlBWqdVqzGZzeBOa3t5euru76e/vJyUlhU2bNslc4dPF7XbT3NzMu+++S3NzMz6fjx07dvCTn/yEgwcPilFjlHvqAwXu3/6kpqZiMplwuVzYbDb6+/tZWloCIC0tjYSEBJmr3PicTicXLlzg7bffprW1lZWVFV588UX+8i//kj179kTtA3HCHz3VtzwPSklJYd++fSwvL6NWq/n4449paWlhbm4OlUrFoUOHSEpKEn8h18jy8jKXLl0Kv+4rKyts376dv/7rv+aVV16RuzzhCYkRygM0Gg1ZWVkkJycTCoWYnp6mr68vfA5KRUWFWFJeAxMTE3z88cf86le/4syZM6ysrHDo0CF+/OMf8+yzz4qRSQwRI5T/t7rCkJSURFNTE8FgkFAoxCeffEJHRwd+vz+8F0V2dnbUPu0ZSyRJYmZmhk8//ZSjR49y+fJlgsEge/bs4a233uKFF16Qu0ThaxIjlP/3YM+JTqcjPz+f7OxsEhISsFqtDA4Ocu/ePRQKBSUlJWJOJQJGR0f5z//8T95++23a2tpISUnh8OHD/P3f/z0HDhwQoR2DRKB8zupIRa1Wk56eTkJCAisrK9jtdgYHB5mZmcHj8SBJEiaTSQzH/wR+v5+Ojg7ef/99jh49ytjYGFlZWXz729/m9ddf3zBHXzyNxJ+Az3lwpGIwGMIdmcnJyfzqV78KH80xPDzMa6+9xt69e8Vo5WuQJImBgQH+4z/+g+PHjzM3N0dlZSWvvPIKf/EXf0FFRYXcJQrfgBihfAWVSkVSUhKZmZkUFRXh9Xrp7+9ndHSUkZER5ufnMRgMjzywWnjYxMQEx44d4+c//zkfffQRHo+HAwcO8Oabb/LKK69QVlYmTneMcWKE8gRMJhMNDQ2Ul5eTlJSEJElcv36dixcvYrPZcLlcaLVa8vPziY+PF78UD5AkieXl5fCZu++++y4tLS0oFAq2b9/O9773Pb71rW+Ft258sP1eiD0KKdq2fIpybrebgYEB3nvvPZqbm+nt7SUxMZEdO3bw1ltv8fzzz5Oamip3mVHD7Xbz8ccfc/LkSVpbWxkbGyMxMZE///M/5/DhwzQ0NJCeni5CZIMQI5SvKSEhgfr6evx+P/Hx8Zw6dYq7d+9y6tQpfD4fNpuN2tpaysrKyM3NfWp/UZxOJ/39/Vy9epVjx45x69YtFhcXqa2tZc+ePbz++uts3bpVTGpvMGKE8g04HA4uXrzI+++/z/vvv4/f78dkMvHMM8/w8ssv88Ybb5CZmSl3mevO5XJx48YNfvGLX/CHP/wBp9NJampquL/k4MGDxMfHi67jDUgEyjdks9m4ceMGZ8+epaWlJXyIWGFhITt27OCZZ56hvr6ezZs3b/il0MnJSW7evEl7ezvXrl3j6tWrLCwssHv3bnbt2sXOnTtpaGh4ot3IhNgkAiVCJicnOXbsGMePH+fmzZtMTU0BsHnzZl588UVefvllqqqqUKvV6HS6DfHXORQKEQwGWVpaYnJyko6ODj7++GOuXr3KxMQEcXFxNDY28sMf/pB9+/Y9laO1p40IlAgJBoM4HA5GRkbo7Ozks88+4+TJkywsLJCamkpRURFbtmxhz549PPPMMxviMO+FhQXa2to4e/Ys7e3t3Lt3j/HxcRISEsJBunfvXgoLC0lNTd0QISp8OTEpGyEqlQqz2YzZbKagoIDMzEySk5Pp6OhgYGCAa9euYbVamZqaYnBwkNraWjIzM0lPTyc9PT28H0s0CwaDuFwu3G43U1NT9PT0cOHCBVpbWxkdHQWgrKyM+vp69uzZw6FDhygqKpK5amE9iRHKGgiFQoRCIbxeL1evXqW5uZmPPvqIwcFBFAoFWq2W1NRU6uvraWpq4oUXXqC8vDzqz5aZnp7m+vXrXL16lba2Njo6OpibmwPuB8nevXt5/fXXqaqqIikpCb1eL3pynjIiUNaY2+3m7t273Lx5kzt37tDT00N3dzc2mw2j0UhRURGbN2+murqasrIysrOzw6MWk8kka+1zc3MMDg4yPj7O5OQkfX199PT00NPTg81mA+5PPjc0NFBfX09DQwMNDQ2y1y3IRwTKOrLb7Vy8eJGWlhZaW1sZGRnB5XIB9zd4qq2tpa6ujpqaGsrLy8nLy8NsNqPVapEkCaVS+dDxCd/0KAVJkh56C4VCKJVKAoEAMzMzdHd3c+7cOa5du0ZXV1f4qBG4f3ZMY2MjL774Is899xwFBQXi6WBBBMp6s9ls2O12pqamsFqt3Llzh46ODvr6+nA6ncTHx2M2m0lMTCQ1NZWMjAzy8vLIz88nLy+PjIwMkpOTMRgM6PX6b3RqniRJjIyMhGuanZ1lZmaGqakphoaGGBoaYnx8nIWFBVQqFYWFhdTU1FBdXU1paSkFBQXhmjb6krjwZESgyMjtdnPv3r3wnMTdu3dxuVx4PB4WFhbw+/1oNBrMZjN5eXkUFxeTk5NDeno6RqMRg8FATk5OeIc5rVaLTqcLj1oe/NF6vV58Pl/4WRmFQsHExAT9/f1MTk4yNTXF1NQUs7OzzM/PY7fb8fl8pKSkYLFYKCgoYNOmTWzdupX6+npyc3PletmEKCYCRUahUAifz4fH48Hn87G8vMzw8PBDO+8PDQ0xOjrK0tJS+NRDrVYbvv3RarVoNBqUSiVZWVkUFRWhUqnCE8MKhQJJkhgbG2N8fJxAIEAoFALA5/OFg8br9SJJEkajkby8vPBSd1NTE7W1tWRlZREfH49Go0Gv14vbG+GRRKBEmUAgwNjYGGNjY0xMTDAxMcH4+DhTU1PMz88zNzeHw+EgGAwiSRJzc3MsLy+jUCgwGAwYjUb8fj+SJGEwGIiLi0On0+FwOLDb7eERSlxcHAkJCSQlJZGQkEBiYiJJSUmYzWYyMzNJTU0lJyeH2tpaMRoRnpgIlBixuLjI0NAQVquVnp4efD4fAAMDA8zMzCBJEna7ndHRUdxuNwqFgrS0NNLT08NNZaudrXFxcWRnZ5OVlUVubi7Z2dkUFBRQXFyMTqeT+TsVYpkIlBji9XqZn59nfn4+vNricrlYXl4O7zvicrnwer3hEcvq5K1KpQrf/mg0mvARrKtvCQkJUd8HI0Q/ESiCIESMaGMUBCFiRKAIghAxIlAEQYgYESiCIESMCBRBECJGBIogCBEjAkUQhIgRgSIIQsSIQBEEIWLEI6MxanVDpFAo9MjjOz/fAK1UKr+wQZMgRJoIlBhlt9uxWq3cvn0bm81GQkICarUaSZLweDx4vV7g/hYJKpWKsrIyamtrKSgoIC4uTubqhY1KBEqM8vl8zM3NMTIywr1793A4HKysrKBWq0lPTycpKQmlUonf78fn8zE6OorVaqW0tJSKigrKy8vFMaBCxImHA2PUwsIC09PT2O12Wltb+dd//VfGx8dRq9X84Ac/4MiRI6jVajweD+Pj43z00Ud89tlnqFQqXnjhBf7xH/+R6upqcfsjRJQYocQog8FAZmYmOTk5LC4uhm9j9Ho9JSUlbNu2Dbi/5UFBQUF4W8fOzk4uXbrExYsXw7vuC0KkiECJUWq1mvj4eADy8vLIysrC4XBQXl5OeXk5KSkp4WszMzOxWCxUVlbyD//wDwwODnLmzBmys7NFoAgRJZaNN4ClpSVsNhsGg4EtW7aQlZX1hWsSExNJT09Hp9Ph8/mYnZ1lYWFBhmqFjUwESgyTJAmfzxfec9ZoNNLQ0IDZbP7CtV6vl+XlZQKBAABarVZsNC1EnAiUGCZJEqOjo/T19bG8vExaWhpVVVWkpqZ+4VqPx4PD4WBpaQmtVktubu4jrxOEb0IESgyTJImBgQGsVitarZb8/HzKysq+sBw8OzvLZ599xokTJ/B6vVRUVLB9+3YKCgpkqlzYqESgxDBJkrBarfT29mIymcjJySExMfGha1wuF5cvX+ZXv/oV7777LvHx8Tz//PMcOnSIkpISmSoXNipxEx3DAoEAvb29dHR0sLS0RFtbG7/85S8xGo3Mz88zPj7OysoKWq2WrKwsvve977F9+3Z27NjxyIlbQfimRKDEMKfTydDQEEtLSwBMTk5y/PhxjEYjNpuN8+fPo1Qq2bFjB/v27WPv3r00Njai1+tlrlzYqESgxCi3201vby92ux21Ws1bb71FfX096enpqNVqJicn0Wq13Lx5k8uXL2M2m9m+fftDnbGPeqhQEL4JESgxyuFwYLVamZ2dJTk5mYMHD/Lss8+i0WjC78/KyiI9PZ0TJ04wMDDAhQsXMJvN1NTUhA/+EoRIEoESo+bm5hgcHGR+fp6EhATKy8spLi4mEAigUCjIyspi06ZNFBcXYzKZaG5u5r/+67+Ij4/HYDBQVFQk+lCEiBOrPDFqcHCQs2fPAlBRURFuZlOr1ahUKtRqNUqlkoqKCvbu3YvZbMZut3Pp0iU6OzvDZyMLQiSJQIlRfX19XLt2jeTkZLZs2fLYrQh0Oh0VFRXhnhOr1Up3d3e4Y1YQIkkESgxyuVzY7XYASktLqamp+dKVG6Xyjz/m1RGMIKwFESgxZnl5mcHBQWZmZoD7gVJZWYlWq33k9R6Ph8HBwXAAWSwWLBaLCBVhTYhAiTHLy8v09vYyMTEBQH5+PiUlJY8NlNnZWU6dOkVXVxdKpZLKykoqKyvFhKywJsS/qhjjcrk4ffo0VquVtLQ0CgsLMZlMX7guEAgwNjbGyZMnOX36NA6Hg8LCQrZs2UJFRUV4eVkQIkmMUGLMwMAAx48fZ3p6GovF8oVnd+B+mAwMDPDee+/x3nvv0d3dTUpKCrt27aKxsZHU1NSH5lUEIVLECCUGdHZ20traSk9PD21tbeH5kL6+Pn77298yPDzMysoKfr+fpaUlRkdHGR4eZnJyEoVCwcGDB2lqamLfvn0UFhbK/N0IG5kIlBgwOTnJ5cuXuXDhAna7nfT09PDxGAMDAywvLxMKhfB6vbhcLvr7+3G5XGRnZ9PQ0MDBgwfZt28fOTk5gGi5F9aO2PU+BvT09HDnzh3cbjfBYPCh+Q+DwRD+72AwGA4ao9FIeno6KSkpJCUlkZiYKOZNhDUnAiUGuFwu3G43Wq32oeVeSZIIBAKEQqHw/1MqlSQkJIjDvARZiECJAZIkfeFo0S8jjhsV5CICRRCEiBFrh4IgRIwIFEEQIkYEiiAIESMCRRCEiBGBIghCxIhAEQQhYkSgCIIQMSJQBEGIGBEogiBEzP8Bhtj0bSdTd8oAAAAASUVORK5CYII=" alt="" width="228" height="197" />

Solution for the question - in the following diagram the work done in moving a point charge from pointp to point a, b and c is respectively as w_(a),w_(b) and w

In the following diagram the work done in moving a point charge-Turito

Here total electrostatic potential energy is zero <img src="data:image/png;base64,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" class="Wirisformula" alt="i e comma blank fraction numerator negative Q subscript 0 end subscript q over denominator l end fraction minus fraction numerator q Q subscript 0 end subscript over denominator l end fraction plus fraction numerator q to the power of 2 end exponent over denominator square root of 2 l end root end fraction equals 0" width="218" height="46" style="vertical-align:-19px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»i«/mi»«mi»e«/mi»«mo»,«/mo»«mi» «/mi»«mfrac»«mrow»«mo»-«/mo»«msub»«mrow»«mi»Q«/mi»«/mrow»«mrow»«mn»0«/mn»«/mrow»«/msub»«mi»q«/mi»«/mrow»«mrow»«mi»l«/mi»«/mrow»«/mfrac»«mo»-«/mo»«mfrac»«mrow»«mi»q«/mi»«msub»«mrow»«mi»Q«/mi»«/mrow»«mrow»«mn»0«/mn»«/mrow»«/msub»«/mrow»«mrow»«mi»l«/mi»«/mrow»«/mfrac»«mo»+«/mo»«mfrac»«mrow»«msup»«mrow»«mi»q«/mi»«/mrow»«mrow»«mn»2«/mn»«/mrow»«/msup»«/mrow»«mrow»«msqrt»«mn»2«/mn»«mi»l«/mi»«/msqrt»«/mrow»«/mfrac»«mo»=«/mo»«mn»0«/mn»«/math»'/> On solving, <img src="data:image/png;base64,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" class="Wirisformula" alt="Q subscript 0 end subscript equals fraction numerator q over denominator 2 square root of 2 end fraction equals fraction numerator 2 q over denominator square root of 32 end fraction" width="143" height="42" style="vertical-align:-19px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«msub»«mrow»«mi»Q«/mi»«/mrow»«mrow»«mn»0«/mn»«/mrow»«/msub»«mo»=«/mo»«mfrac»«mrow»«mi»q«/mi»«/mrow»«mrow»«mn»2«/mn»«msqrt»«mn»2«/mn»«/msqrt»«/mrow»«/mfrac»«mo»=«/mo»«mfrac»«mrow»«mn»2«/mn»«mi»q«/mi»«/mrow»«mrow»«msqrt»«mn»32«/mn»«/msqrt»«/mrow»«/mfrac»«/math»'/> <img src="https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/generalfeedback/487088/1/938280/Picture5.png" alt="" width="148" height="154" />

Solution for the question - three charges q_(0),-q and -varphi are placed at the vertices of anisosceles right angle triangle as in the figure. the net electros