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Why is There No Work Done in Moving a Charge from One Point to Another on an Equipotential Surface? - Physics

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प्रश्न

Why is there no work done in moving a charge from one point to another on an equipotential surface?

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उत्तर

On an equipotential surface, the potential remains constant and thus potential difference (ΔV) is zero. The work done on a charge is given as

W = qΔV

Now, as ΔV = 0

We conclude that W = 0

So, the work done in moving a charge from one point to another on an equipotential surface is zero.

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Equipotential Surfaces
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
2011-2012 (March) Foreign Set 2

संबंधित प्रश्‍न

Two charges 2 μC and −2 µC are placed at points A and B 6 cm apart.

  1. Identify an equipotential surface of the system.
  2. What is the direction of the electric field at every point on this surface?

Describe schematically the equipotential surfaces corresponding to

(a) a constant electric field in the z-direction,

(b) a field that uniformly increases in magnitude but remains in a constant (say, z) direction,

(c) a single positive charge at the origin, and

(d) a uniform grid consisting of long equally spaced parallel charged wires in a plane.


A man fixes outside his house one evening a two metre high insulating slab carrying on its top a large aluminium sheet of area 1 m2. Will he get an electric shock if he touches the metal sheet next morning?


Statement - 1: For practical purpose, the earth is used as a reference at zero potential in electrical circuits.

Statement - 2: The electrical potential of a sphere of radius R with charge Q uniformly distributed on the surface is given by `Q/(4piepsilon_0R)`.


Assertion: Electric field is discontinuous across the surface of a spherical charged shell.
Reason: Electric potential is continuous across the surface of a spherical charged shell.


A unit charge moves on an equipotential surface from a point A to point B, then ______.

Which of the following is NOT the property of equipotential surface?


Can two equipotential surfaces intersect each other? 


Find the equation of the equipotentials for an infinite cylinder of radius r0, carrying charge of linear density λ.


What is meant by an equipotential surface?


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