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Question

# Two concentric shell R and 2R, charges qA and qB and potential 2V and 3V2 respectively. Now shell B is earthed and finally charges on shell A and B are qA and qB respectively. Then

A

Potential difference between A and B will increase

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B

Potential difference between A and B will decrease

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C

Potential difference between A and B will not change

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D

From given data potential difference between A and B is zero.

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Solution

## The correct option is C Potential difference between A and B will not change Before earthing: VA=kqAR+kqB2R=2VVB=kqAR+kqB2R=3V2⎫⎪⎬⎪⎭ ⇒qA=VRkqB=2VRk After earthing: q1A=qA and q1B=−qA potential difference between A and B =V2

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