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Question: Two concentric spheres (hollow) are shown in diagram. What charge should be given to the smaller sph...

Two concentric spheres (hollow) are shown in diagram. What charge should be given to the smaller sphere so that potential at point P outside the sphere is zero ? (Inner sphere of radius = r, outer sphere of radius = R and charge on outer sphere = Q):

A

QrR\frac{Qr}{R}

B

QRr\frac{QR}{r}

C

– Q

D

2QRr\frac{2QR}{r}

Answer

– Q

Explanation

Solution

Let the charge on the inner sphere be 'q'

VP = kqx\frac { \mathrm { kq } } { \mathrm { x } } + = 0

q = – Q