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Question

Three particles, each having a charge of 10 μC are placed at the corners of an equilateral triangle of side 10 cm. The electrostatic potential energy of the system is :(Given14π0=9×109Nm2C2)

A
Zero
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B
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C
27 J
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D
100 J
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Solution

The correct option is C 27 J
Work done in placing first charge at one of the corners=0(no other charge present)
Work done in placing second charge at the other corner=14πϵ0q1q2r12
Work done in placing third charge=14πϵ0q1q3r13+14πϵ0q2q3r23
Thus the total work done=14πϵ0q1q2r12+14πϵ0q1q3r13+14πϵ0q2q3r23=27J
Hence correct answer is option C.

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