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Draw equipotential surfaces for (i) an electric dipole and (ii) two identical positive charges placed near each other.

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Question

Draw equipotential surfaces for (i) an electric dipole and (ii) two identical positive charges placed near each other.

Diagram
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Solution

(i) (ii)

Some equipotential surfaces for (i) a dipole, (ii) two identical positive charges.

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2022-2023 (March) Sample

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RELATED QUESTIONS

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.


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


Draw the equipotential surfaces due to an electric dipole.


Consider the following statements and select the correct statement(s).

  1. Electric field lines are always perpendicular to equipotential surface.
  2. No two equipotential surfaces can intersect each other.
  3. Electric field lines are in the direction of tangent to an equipotential surface.

The diagrams below show regions of equipotentials.

(i)
(ii)
(iii)
(iv)

A positive charge is moved from A to B in each diagram.


An equipotential surface is that surface ______.

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

Can two equipotential surfaces intersect each other? 


Equipotential surfaces ______.

  1. are closer in regions of large electric fields compared to regions of lower electric fields.
  2. will be more crowded near sharp edges of a conductor.
  3. will be more crowded near regions of large charge densities.
  4. will always be equally spaced.

Prove that a closed equipotential surface with no charge within itself must enclose an equipotential volume.


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