(a) Write two important characteristics of equipotential surface.
(b) A thin circular ring of radius r is changed uniformly, so that its linear charge density becomes λ. Derive
an expression for the electric field at a point P at a distance x from it along the axis of the ring, Hence
prove that a large distances (x>>r), the ring behaves as a point of charge.
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• Equipotential surfaces never cross each other.
• Equipotential surfaces give the direction of the electric field.
• Electric field is normal to the equipotential surfaces.
Explanation:
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