Electrostatic Potential and Capacitance - Result Question 15

17. 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. The work done in moving a charge +Q along the semicircle CRD is

[2007]

(a) qQ2πε0L

(b) qQ6πε0L

(c) −qQ6πε0L

(d) qQ4πε0L

Show Answer

Answer:

Correct Answer: 17. (c)

Solution:

  1. (c)

Potential at C=VC=0

Potential at D=VD

=k(−qL)+kq3L=−23kqL

Potential difference

VD−VC=−23kqL=14πϵ0(−23⋅qL)

⇒ Work done =Q(VD−VC)

=−23×14πε0qQL=−qQ6πε0L

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