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The electric potential at a point on the axis of an electric dipole depends on the distance r of the point from the dipole as

1. $\frac{1}{r}$
2. $\frac{1}{r^2}$
3. $r$
4. $\frac{1}{r^3}$

Correct answer: $\frac{1}{r^2}$

Solution

For a dipole, the electric potential at a point far from it is proportional to $\frac{\cos\theta}{r^2}$. On the axis, $\cos\theta = 1$, so the dependence is $1/r^2$.

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