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Q.

Four equal point charges Q each are placed in the  xy plane at (0, 2), (4, 2), (4, -2) and (0, -2). The work required to put a fifth charge Q at the origin of the coordinate system will be :

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a

Q24π∈01+15

b

Q24π∈01+13

c

Q222π∈0

d

Q24π∈0

answer is A.

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Detailed Solution

W=QV=QV1+V2+V3+V4=Q14π∈0Qr1+14π∈0Qr2+14π∈0Qr3+14π∈0Qr4 =14π∈0Q212+12+122+42+122+42 =Q24π∈01+220 =Q24π∈01+225==Q24π∈01+15
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