The electric field and the potential of an el | vedclass

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(C) The electric field $E$ due to an electric dipole at a distance $r$ is given by $E = \frac{1}{4 \pi \varepsilon_0} \frac{2p}{r^3}$ (on the axial li

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$1/r^3$ and $1/r^2$

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(C) The electric field $E$ due to an electric dipole at a distance $r$ is given by $E = \frac{1}{4 \pi \varepsilon_0} \frac{2p}{r^3}$ (on the axial line) or $E = \frac{1}{4 \pi \varepsilon_0} \frac{p}{r^3}$ (on the equatorial line). In both cases,$E \propto \frac{1}{r^3}$.The electric potential $V$ due to an electric dipole at a distance $r$ is given by $V = \frac{1}{4 \pi \varepsilon_0} \frac{p \cos 	heta}{r^2}$. Thus,$V \propto \frac{1}{r^2}$.Therefore,the electric field varies as $1/r^3$ and the potential varies as $1/r^2$.

The electric field and the potential of an electric dipole vary with distance $r$ as

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