Conducting sphere – Questions (multiple choice MCQ)

In this Question set, we will collect interesting questions related to conducting sphere from the electrostatics chapter, and also will post answers to the selected ones.

Conducting sphere – Questions (MCQ)

Q1)

A hollow, conducting sphere is initially uncharged. A positive charge, +q1, is placed inside the sphere, as shown in the figure. Then, a second positive charge, +q2, is placed near the sphere but outside it. Which of the following statements describes the net electric force on each charge?

Conducting sphere - Questions (multiple choice MCQ) - Q1
figure 1: Question 1

Answer Options:

a) There is a net electric force on +q2 but not on +q1.

b) There is a net electric force on +q1 but not on +q2.

c) Both charges are acted on by a net electric force with the same magnitude and in the same direction.

d) Both charges are acted on by a net electric force with the same magnitude but in opposite directions.

e) There is no net electric force on either charge.

Q2 )

Inside a hollow conducting sphere, which is uncharged, a charge q is placed at its center. Let the electric field at a distance x from the center at point p be E and potential at this point be V. Now, some positive charge Q is given to this sphere, then

Conducting sphere - Questions (multiple choice MCQ) - Q2
fig 2: Question 2

Answer Options:

a) E will remain the same

b) E will increase

c) V will decrease

d) V will remain the same

Answers to Conducting sphere Questions

The correct answer to Q (1): Option D
Both charges are acted on by a net electric force with the same magnitude but in opposite directions.

The correct answer to Q (2): Option A
Explanation
: The electric field produced due to the introduction of charge Q will be zero at P, Hence, E will remain the same at P (contributed by charge q only). But the potential produced by Q at P will not be zero. Hence, V won’t remain the same at P. V won’t decrease as well.

Conducting sphere – Questions (multiple choice MCQ)
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