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Question

Charges q and q are placed at points A and B respectively which are a distance 4L apart. C is the mid - point between A and B. The work done in moving a charge +Q along the semi-circle CRD is


A
Qq12πϵ0L
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B
Qq4πϵ0L
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C
Qq12πϵ0L
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D
Qqπϵ0L
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Solution

The correct option is A Qq12πϵ0L

From data,
potential at point C is VC=0

potential at point D is
VD=14πϵ0[q6Lq2L]=q4πϵL[136]=q12πϵ0L
work done, WCD=Q[VDVC]=Q[q12πϵ0L0]=Qq12πϵ0L

Physics

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