Q.

A spherical shell of radius R is given charge 3q on its surface and a point charge q is placed at distance R/2 from its centre C. Also there is a charge 2q placed outside the shell at a distance of 2R as shown. Then:

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a

The electric potential at the centre C due to charges on the outer surface of shell is KqR after closing the switch S.

b

Charge flown through the switch into earth after closing the switch S is 4q.

c

The magnitude of electric field at the centre C due to charges on the surface of shell is KqR2 before closing the switch S.

d

The electric potential at the centre C due to charges on the outer surface of shell is KqR before closing the switch S.

answer is C.

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Detailed Solution

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A) E at C due to outside charges=0
E at C due to induced  =K2Q(2R)2=EQ2R2
(C)  Kq22R+Kq'R=0        q'=q

D)  ΔQ=4q(q)=5q

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