Question

Electric potential of a quadrupole varies with distance r on its axis as

Answer 1

Given figure shows a charge array known as an electric quadrupole. For a point on the axis of the quadrupole, obtain the dependence of potential on r for r/a >> 1 and contrast your results with that due to an electric dipole and an electric monopole (i.e. a single charge).

Answer 2

Answer:

The  electric potential perpendicular to the quadrupole drops off like  $\frac{1}{r^3}$.

Explanation:

Electric potential of a quadrupole varies with distance r

$\frac{2a^2 q}{4\pi \epsilon_o}\frac{1}{r^3}$

Where, q is the magnitude of the charge.

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