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Question

Physics Question on electrostatic potential and capacitance

Equipotential surfaces

A

are closer in regions of large electric fields compared to regions of lower electric fields

B

will be more crowded near sharp edges of a conductor

C

will always be equally spaced

D

both (a) and (b) are correct

Answer

both (a) and (b) are correct

Explanation

Solution

Electric field, E=dVdrE=-\frac{dV}{dr} or dr1Edr \propto\frac{1}{E} i.e., equipotential surfaces are closer in regions of large electric fields compared to regions of lower electric field. At sharp edges of a conductor, charge density is more. Therefore electric field is stronger. Hence equipotential surfaces are more crowded