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Define an Equipotential Surface. - Physics

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Question

Define an equipotential surface.

Solution

An equipotential surface is that surface at every point of which, the electric potential is the same.

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Equipotential Surfaces
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2015-2016 (March) All India Set 2 C

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.


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?


What are the forms of energy into which the electrical energy of the atmosphere is dissipated during a lightning?
(Hint: The earth has an electric field of about 100 Vm−1 at its surface in the downward direction, corresponding to a surface charge density = −10−9 C m−2. Due to the slight conductivity of the atmosphere up to about 50 km (beyond which it is good conductor), about + 1800 C is pumped every second into the earth as a whole. The earth, however, does not get discharged since thunderstorms and lightning occurring continually all over the globe pump an equal amount of negative charge on the earth.)


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


Answer the following question.
Two identical point charges, q each, are kept 2m apart in the air. A third point charge Q of unknown magnitude and sign is placed on the line joining the charges such that the system remains in equilibrium. Find the position and nature of Q.


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.


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 ______.

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.

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