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Draw Equipotential Surfaces in the Case of a Single Point Charge and in a Constant Electric Field in Z-direction. Why the Equipotential Surfaces About a Single Charge Are Not Equidistant? and Can Electric Field Exist Tangential to an Equipotential Surface? Give Reason

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Question

Draw equipotential surfaces:

(1) in the case of a single point charge and

(2) in a constant electric field in Z-direction. Why are the equipotential surfaces about a single charge not equidistant?

(3) Can electric field exist tangential to an equipotential surface? Give reason

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Solution

(1)

(2)

The equipotential surfaces about a single charge are not equidistant because electric field due to a single change is not constant.

(3) If the electric field exist along tangential to an equipotential surface, a charged particle will experience a force along the tangential line and can move along it. As a charged particle can move only due to the potential difference (along with the direction of change of potential), this contradicts the concept of an equipotential surface.

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2015-2016 (March) All India Set 2 C

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