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Question

Find the dipole moment of a system where the potential 2.0×105V at a point P, 0.1m from the dipole is 3.0×104. (Use θ=30o).

A
2.57×1017Cm
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B
1.285×1015Cm
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C
1.285×1017Cm
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D
2.57×1015Cm
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Solution

The correct option is A 2.57×1017Cm

The potential at a distance r due to dipole is V=14πϵ0p.^rr2 where p= dipole moment.

or V=14πϵ0pcosθr2

or p=4πϵ0Vr2cosθ=4π×8.85×1012×2×105×(0.1)2cos30=2.57×1017Cm


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