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Depict the Equipotential Surface Due to (I) an Electric Dipole, (Ii) Two Identical Positive Charges Separated by a Distance.

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Question

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

Short/Brief Note
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Solution

Equipotential surfaces for (a) a dipole and (b) two identical positive charges are shown in Figure.

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Notes

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

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2014-2015 (March) Ajmer Set 2

RELATED QUESTIONS

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.

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

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.

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


What is an equipotential surface?


The surface of any conductor in electrostatic equilibrium is an equipotential surface because:


What is the shape of the equipotential surfaces for a single point charge (+q)?


In a uniform electric field, the equipotential surfaces take the shape of:


In the derivation proving \[\vec{E}\] is perpendicular to an equipotential surface, a charge \[q_0\] undergoes a small displacement \[d\vec{l}\] along the surface, with \[\vec{E}\] making an angle \[\theta\] with the displacement. Equating the work expressions leads to which conclusion?


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