Prove that electric field is always perpendicular to equipotential surfaces...
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Proof that Electric Field is always perpendicular to Equipotential Surfaces.
Explanation:
An equipotential surface is defined as the surface on which the total work done by any point charge in motion is zero. On any point of the equipotential surface, the potential difference between any two points is equal to zero.
An electric field line is an imaginary line or a curvature whose tangent represents the direction of the electric field at that point.
An equipotential surface is spherical, imaginary, and is two-dimensional and since the electric field lines are directed radially away from the charge, hence they are contrary to the equipotential surfaces.
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