Two Charges 2 μC and −2 µC Are Placed at Points a and B 6 cm Apart. (A) Identify an Equipotential Surface of the System. - Physics


Two charges 2 μC and −2 µC are placed at points A and B 6 cm apart.

(a) Identify an equipotential surface of the system.

(b) What is the direction of the electric field at every point on this surface?



(a) The situation is represented in the given figure.

An equipotential surface is a plane on which total potential is zero everywhere. This plane is normal to line AB. The plane is located at the mid-point of line AB because the magnitude of charges is the same.

(b) The direction of the electric field at every point on this surface is normal to the plane in the direction of AB.

Concept: Equipotential Surfaces
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Chapter 2: Electrostatic Potential and Capacitance - Exercise [Page 86]


NCERT Physics Class 12
Chapter 2 Electrostatic Potential and Capacitance
Exercise | Q 2.3 | Page 86
NCERT Physics Class 12
Chapter 2 Electrostatic Potential and Capacitance
Exercise | Q 3 | Page 87


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

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

Define equipotential surface. 

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.

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

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.

The diagrams below show regions of equipotentials.


A positive charge is moved from A to B in each diagram.

An equipotential surface is that surface ______.

Which of the following is NOT the property of equipotential surface?

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.

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

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

What is meant by an equipotential surface?


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