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Question

Four identical charges +50 μC each are placed, one at each corner of a square of side 2m. How much external energy is required to bring another charge of +50 μC from infinity to the centre of the square (Given 14πϵ0=9×109 Nm2C2)

A
64 J
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B
41 J
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C
16 J
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D
10 J
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Solution

The correct option is A 64 J
Potential at the centre of square
V=4×(9×109×50×1062)=902×104 V
Work done in bringing a charge (q = 50 μC) from to centre (O) of the square is
W=q(V0V)=qV0
W=50×106×902×104=64 J

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