The nature of the equipotential surface for a | vedclass

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(B) The electric potential $V$ due to a point charge $q$ at a distance $r$ is given by the formula $V = \frac{1}{4\pi\epsilon_0} \frac{q}{r}$.For an e

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Sphere with charge at the centre of the sphere.

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(B) The electric potential $V$ due to a point charge $q$ at a distance $r$ is given by the formula $V = \frac{1}{4\pi\epsilon_0} \frac{q}{r}$.For an equipotential surface,the potential $V$ must be constant.This implies that $r$ must be constant for a given potential $V$.The locus of points at a constant distance $r$ from a fixed point charge $q$ is a sphere.Therefore,the equipotential surface for a point charge is a sphere with the charge at the centre of the sphere.

The nature of the equipotential surface for a point charge is:

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