Advertisements
Advertisements
Question
Why is there no work done in moving a charge from one point to another on an equipotential surface?
Advertisements
Solution
On an equipotential surface, the potential remains constant and thus potential difference (ΔV) is zero. The work done on a charge q is given as
W = qΔV
Now, as ΔV = 0
We conclude that W = 0
So, the work done in moving a charge from one point to another on an equipotential surface is zero.
APPEARS IN
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.
Draw the equipotential surfaces due to an electric dipole. Locate the points where the potential due to the dipole is zero.
Define equipotential surface.
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 ______.
Equipotentials at a great distance from a collection of charges whose total sum is not zero are approximately.
Which of the following is NOT the property of equipotential surface?
Consider a uniform electric field in the ẑ direction. The potential is a constant ______.
- in all space.
- for any x for a given z.
- for any y for a given z.
- on the x-y plane for a given z.
Equipotential surfaces ______.
- are closer in regions of large electric fields compared to regions of lower electric fields.
- will be more crowded near sharp edges of a conductor.
- will be more crowded near regions of large charge densities.
- will always be equally spaced.
