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Question

The region between two concentric spheres of radii $'a'$ and $'b',$ respectively (see figure), have volume charge density $\rho = {A \over r},$ where $A$ is a constant and $r$ is the distance from the center. A such that the electric field in the region between the spheres will be constant, is :

${{2Q} \over {\pi \left( {{a^2} - {b^2}} \right)}}$
${{2Q} \over {\pi \,{a^2}}}$
${Q \over {2\pi \,{a^2}}}$
${Q \over {2\pi \,\left( {{b^2} - {a^2}} \right)}}$

Solution

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