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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

4 V

B

2 V

C

`-2V`

D

V

Text Solution

Verified by Experts

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