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Questions  

A metallic shell of radius R is charged to a potential V. It is concentrically placed inside another shell of radius 2R, charged to a potential V. If the outer shell is earthed, potential of the inner shell will be 

a
2V
b
V2
c
V4
d
3V2

detailed solution

Correct option is B

Q = charge on inner cell =4πε0.R.VWhen the outer shell is earthed, the entire charge residing on its outer surface becomes zero and the charge on the inner surface of outer shell =-Q=4πε0RV∴V' = Potential of inner shell =14πε0.QR+14πε0.-Q2R⇒V'=V-V2=V2

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Similar Questions

Two spherical shells are as shown in figure.

Let r be the distance of a point from their common centre.  Then, match the following columns and mark the correct choice from the given codes.

 Column-I Column-II
i.Electric field for r < R1p.is constant for q2 and vary for q1
ii.Electric potential for r < R1q.is zero for q2 and vary for q1
iii.Electric potential for R1 < r <R2r.is constant
iv.Electric field for R1 < r <R2s.is zero

Codes:


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