Define an Equipotential Surface. - Physics


Define an equipotential surface.



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

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


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.)

What is the geometrical shape of equipotential surfaces due to a single isolated charge?

Define equipotential surface. 

Draw the equipotential surfaces due to an electric dipole.

Answer the following question.
Write two important characteristics of equipotential surfaces.

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 ______.

S1 and S2 are the two imaginary surfaces enclosing the charges +q and -q as shown. The electric flux through S1 and S2 are respectively ______.

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.

Equipotentials at a great distance from a collection of charges whose total sum is not zero are approximately.

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

Can two equipotential surfaces intersect each other? 

Consider a uniform electric field in the ẑ direction. The potential is a constant ______.

  1. in all space.
  2. for any x for a given z.
  3. for any y for a given z.
  4. on the x-y plane for a given z.

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.

Equipotential surfaces are shown in figure. Then the electric field strength will be ______.

What is meant by an equipotential surface?


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