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Conducting sphere – Questions (multiple choice MCQ)

Last updated on November 21st, 2022 at 11:57 am

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.

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