   Chapter 16.2, Problem 16.6QQ

Chapter
Section
Textbook Problem

A spherical balloon contains a positively charged particle at its center. As the balloon is inflated to a larger volume while the charged particle remains at the center, which of the following are true? (a) The electric potential at the surface of the balloon increases. (b) The magnitude of the electric field at the surface of the balloon increases. (c) The electric flux through the balloon remains the same. (d) None of these.

To determine
The effect of increasing the radius of the balloon.

Explanation

As the balloon is inflated, the radius of the balloon gets increased. The electric field and potential decrease with increasing distance.

Conclusion:

The electric flux only depends on the net charge enclosed by the surface. As the balloon is inflated, the net charge still remains the same. Thus, option (c) is correct.

Electric field is inversely proportional to the square of distance...

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