CBSE Class 12 · 2023 · ElectrostaticsMultiple Choice

A point P lies at a distance

x

from the midpoint of an electric dipole on its axis. The electric potential at point P is proportional to

(A) $\frac{1}{x ^{2}}$ ✓ Correct
(B) $\frac{1}{x ^{3}}$
(C) $\frac{1}{x ^{4}}$
(D) $\frac{1}{x ^{5}}$

Answer: (A)

Solution

The potential on the axis of a dipole is

V = \frac{1}{4 π ε _{0}} \frac{p cos θ}{x ^{2}}

with

θ = 0^{\circ}

on the axis, so

V = \frac{1}{4 π ε _{0}} \frac{p}{x ^{2}} \propto \frac{1}{x ^{2}}

CBSE Class 12 Board · 2023 · Single correct option

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