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Initially the spheres A and B are at pot...

Initially the spheres A and B are at potentials `V_A` and `V_B`. Find the potential of A when sphere B is earthed.

A

`V_A`

B

`0`

C

`V_A + V_B`

D

`V_A - V_B`

Text Solution

Verified by Experts

The correct Answer is:
D
As we have studied above that the potential difference between these two spheres depends n the charge on the inner sphere only. Hence, the PD will remain unchanged because by earthing the sphere B charge on A remains constant. Let `V'A` be the new potential at A. Then
`V_A-V_B=V_A^'=V_B^'`
but `V_B^'=0` as it is earthed. Hence,
`V_A^'=V_A-V_B`
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