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Question

A charge +q is fixed at each of the points x=x0, x=3x0, x=5x0 infinity, on the x - axis and a charge -q is fixed at each of the points x=2x0, x=4x0, x=6x0 infinity. Here x0 is a positive constant. The potential at the origin due to the above system of charges is

A
\N
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B
q8πϵ0x0ln2
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C
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D
q ln 24πϵ0x0
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Solution

The correct option is D q ln 24πϵ0x0
V=q4πϵ0x0[1+13+15+]q4πϵ0x0[12+14+16+]
=q4πϵ0x0[112+1314+]=q4πϵ0x0loge2

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