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Question

A charge is fixed at each of the points x=x0, x=3x0, x=5x0 infinite, on the x-axis and a charge -q is fixed at each of the points x=2x0, x=4x0, x=6x0, infinite. Here x0 is a positive constant. Take the electric potential at a point due to a charge Q at a distance r from it to be Q(4πϵ0r). Then, the potential at the origin due to the above system of charges is

A
q8πϵ0 x0 ln 2
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B
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C
q ln 24πϵ0x0
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Solution

The correct option is C q ln 24πϵ0x0
V=q4πϵ0x0[1+13+15+]=q4πϵ0x0loge2

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