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Question
Consider the force F on a charge 'q' due to a uniformly charged spherical shell of radius R carrying charge Q distributed uniformly over it. Which one of the following statements is true for F, if 'q' is placed at distance r from the centre of the shell?
${1 \over {4\pi {\varepsilon _0}}}{{qQ} \over {{R^2}}} > F > 0$ for r < R
$F = {1 \over {4\pi {\varepsilon _0}}}{{qQ} \over {{r^2}}}$ for r > R
$F = {1 \over {4\pi {\varepsilon _0}}}{{qQ} \over {{r^2}}}$ for all r
$F = {1 \over {4\pi {\varepsilon _0}}}{{qQ} \over {{R^2}}}$ for r < R

Solution

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