Two Charges Q1 and Q2 are as shown in the figure. A third charge Q3 is moved

Question

Two Charges

Q_{1}

and

Q_{2}

are as shown in the figure. A third charge

Q_{3}

is moved from points A to B along a circular path. Change in potential energy of the system is

Options:

A . kQ1Q2Q3

B . 4kQ1Q2

C . 4kQ2Q3

D . 23kQ2Q3

Answer: Option C
:
C

Δ U = U_{f} - U_{i} U_{f} = k [\frac{Q_{1} Q_{2}}{0.6} + \frac{Q_{2} Q_{3}}{0.2} + \frac{Q_{3} Q_{1}}{0.8}] Δ U = U_{f} - U_{i} = k Q_{2} Q_{3} [\frac{1}{0.2} - 1] = 4 k Q_{2} Q_{3}

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