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Depict the equipotential surfaces for a system of two identical positive point charges placed a distance(d) apart? - Physics

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Question

Depict the equipotential surfaces for a system of two identical positive point charges placed a distance(d) apart?

Short Note

Solution

An equipotential surface is a surface with a constant value of the potential at all points on the surface.


Equipotential surfaces for two identical positive charges.

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Equipotential Surfaces
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2009-2010 (March) Delhi set 3

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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?

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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


Define equipotential surface. 


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


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)`.


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.

An equipotential surface is that surface ______.

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.

The work done to move a charge along an equipotential from A to B ______.

  1. cannot be defined as `- int_A^B E.dl`
  2. must be defined as `- int_A^B E.dl`
  3. is zero.
  4. can have a non-zero value.

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