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Charges (+q) and (–q) are placed at points A and B respectively which are a distance 2L apart. C is the midpoint between A and B. What is the work done in moving a charge +Q along the semicircle CRD?

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Question

Charges (+q) and (–q) are placed at points A and B respectively which are a distance 2L apart. C is the midpoint between A and B. What is the work done in moving a charge +Q along the semicircle CRD?

 

Numerical
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Solution

Vc = 0,

VD = `1/(4piepsi_0)[q/(3L) - q/L] = (-q)/(6piepsi_0L)`

W = Q[VD - Vc] = `(-Qq)/(6piepsi_0L)`

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