The electrostatic potential due to an electric dipole at a distance...

The electrostatic potential due to an electric dipole at a distance

r

varies as :

Options

A $r$
B $\dfrac{1}{{r}^{2}}$
C $\dfrac{1}{{r}^{3}}$
D $\dfrac{1}{r}$

Correct answer

B. $\dfrac{1}{{r}^{2}}$

Step-by-step solution

The potential at a distance $r$ due to a short dipole is ${V}_{dip}\left(r\right) = \dfrac{1}{4\pi{ε}_{∘}}\dfrac{\overset{\to}{p} \cdot \overset{^}{r}}{{r}^{2}}$ , where $\overset{\to}{p}$ =dipole moment.

Thus, ${V}_{dip} ( r )$ is proportional to $\dfrac{1}{{r}^{2}}$ .

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