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Question

Physics Question on electrostatic potential and capacitance

The potential due to dipole at a point is proportional to:

A

r−2r^{-2}

B

r3r^{3}

C

r2r^{2}

D

rr

Answer

r−2r^{-2}

Explanation

Solution

We know that the potential due to dipole at a distance r from the centre of dipole V=14πε0pr2V=\frac{1}{4 \pi \varepsilon_{0}} \frac{p}{r^{2}} ⇒V∝1r2\Rightarrow V \propto \frac{1}{r^{2}} V∝r−2V \propto r^{-2}