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Draw Equipotential Surfaces in the Case of a Single Point Charge and in a Constant Electric Field in Z-direction. Why the Equipotential Surfaces About a Single Charge Are Not Equidistant? and Can Electric Field Exist Tangential to an Equipotential Surface? Give Reason - Physics

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प्रश्न

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

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उत्तर

(1)

(2)

The equipotential surfaces about a single charge are not equidistant because electric field due to a single change is not constant.

(3) If the electric field exist along tangential to an equipotential surface, a charged particle will experience a force along the tangential line and can move along it. As a charged particle can move only due to the potential difference (along with the direction of change of potential), this contradicts the concept of an equipotential surface.

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

संबंधित प्रश्न

Draw a sketch of equipotential surfaces due to a single charge (-q), depicting the electric field lines due to the charge


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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?

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


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.

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.

Find the equation of the equipotentials for an infinite cylinder of radius r0, carrying charge of linear density λ.


What is meant by an equipotential surface?


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