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The work done in moving a charge on an equipotential surface is:
1. Finite and positive
2. Infinite
3. Finite and negative
4. Zero

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Correct Answer - Option 4 : Zero

CONCEPT:

  • Equipotential surface: An equipotential surface is a surface on which all the points lie at the same potential. 
    • It can either be a real or an imaginary surface.
    • It is normal to the electric field at any particular point.
    • When a charged particle is moved in an electric field under a potential difference of ΔV volt then,

Electrostatic potential energy gained by the charge particle (PE) = q ΔV

Where q = charge and ΔV = the potential difference

EXPLANATION:

As we know that the potential at each point on an equipotential surface is the same.

∴ Potential difference is

ΔV = V2 - V1 = V - V = 0

Electrostatic potential energy gained by the charged particle is

PE = q ΔV = q × 0 = 0

∴ Work done = electrostatic potential energy gained = 0. Hence option 4 is correct.

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