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 ?

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F=14π∈0 QqR2 for r

F=14π∈0 Qqr2 for r>R

14π∈0 qQR2 > F>0 for r

F=14π∈0 Qqr2 for all r

answer is B.

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Detailed Solution

Electric field inside the charged spherical shell is zero, so force should be zero for r < R.For outside is r>R, E=14π∈oQr2 So, F=14π∈oQqr2

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