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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?

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
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2011-2012 (March) Foreign Set 2

संबंधित प्रश्न

Draw a sketch of equipotential surfaces due to a single charge (-q), depicting the electric field lines due to the charge


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.


Draw the equipotential surfaces due to an electric dipole. Locate the points where the potential due to the dipole is zero.


Depict the equipotential surface due to
(i) an electric dipole,
(ii) two identical positive charges separated by a distance.


Find the amount of work done in rotating an electric dipole of dipole moment 3.2 x 10- 8Cm from its position of stable equilibrium to the position of unstable equilibrium in a uniform electric field if intensity 104 N/C.  


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)`.


A particle of mass 'm' having charge 'q' is held at rest in uniform electric field of intensity 'E'. When it is released, the kinetic energy attained by it after covering a distance 'y' will be ______.


If a unit positive charge is taken from one point to another over an equipotential surface, then ______.

Which of the following statements is/are correct for equipotential surface?
  1. The potential at all the points on an equipotential surface is same.
  2. Equipotential surfaces never intersect each other.
  3. Work done in moving a charge from one point to other on an equipotential surface is zero.

What is meant by an equipotential surface?


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