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A solid conducting sphere, having a char...

A solid conducting sphere, having a charge `Q`, is surrounded by an unchanged conducting hollow spherical shell. Let the potential difference between the surface of the solid sphere and that of the outer surface of the hollow shell be `V`. If the shell is now given a change of `-4Q`, the new potential difference between the same tow surface is :

A

`4V`

B

`2V`

C

`-2V`

D

V

Text Solution

Verified by Experts

The correct Answer is:
D
Initial `pd=(KQ)/(R_1)-(KQ)/(R_2)=V`
Final `pd=((KQ)/(R_1)-(4KQ)/(R_2))-((KQ)/(R_2)-(4KQ)/(R_2))`
`=(KQ)/(R_1)-(KQ)/(R_2)=V`
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