Equal charges q are placed at the four corners A, B, C, D of a square of length a. The magnitude of the force on the charge at B will be

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3q24πε0a2

4q24πε0a2

1+222q24πε0a2

2+12q24πε0a2

answer is C.

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Detailed Solution

After following the guidelines mentioned aboveFnet=FAC+FD=FA2+FC2+FDSince FA=FC=kq2a2 and FD=kq2(a2)2Fnet=2kq2a2+kq22a2=kq2a22+12=q24πε0a21+222

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