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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

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

Define an equipotential surface.


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


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?

The discharging current in the atmosphere due to the small conductivity of air is known to be 1800 A on an average over the globe. Why then does the atmosphere not discharge itself completely in due course and become electrically neutral? In other words, what keeps the atmosphere charged?


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.)


Define equipotential surface. 


Draw the equipotential surfaces due to an electric dipole.


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


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.


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.

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