Two concentric spherical conducting shells of radii R and 2R carry charges Q and 2Q respectively, change in electric potential on the outer shell when both are connected by a conducting wire (k=4πϵ01) is:
A
zero
B
2r3kQ
C
RkQ
D
R2kQ
Medium
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Updated on : 2022-09-05
Solution
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Correct option is A)
The potential due to a charged spherical sphere with radius r is given by
V=4πεo1rq=krq
If we two spherical conducting shells of radii R and 2R carry charges Q and 2Q, then
V1=k2RQ+ k2R2Q=k2R3Q
Charge remains constant before and after connecting them , so Final Charge =3Q
V2=k2R3Q
Hence ΔV=V2−V1=0
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