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Question

# A point dipole →p=−p0^x kept at the origin. The potential and electric field due to this dipole on the y−axis at a distance d are, respectively : (Take V=0 at infinity)

A
0,|p|4πε0d2
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B
0,p4πε0d3
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C
|p|4πε0d2,p4πε0d3
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D
0,p4πε0d3
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Solution

## The correct option is B 0,−→p4πε0d3The dipole lies along negative x− axis and the given point is on y− axis. So, the given point lies on the equatorial line of a point dipole. The electric potential due to a point dipole is given by, V=14πε0pcosθd2 On the equatorial line, θ=180∘ ⇒V=0 We know that, the electric field due to a point dipole on the equatorial line is given by, →E=p4πε0 d3(−^p) Hence, option (B) is correct.

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