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Chapter 4: Q1DQ (page 744)

A rubber balloon has a single point charge in its interior. Does the electric flux through the balloon depend on whether or not it is fully inflated? Explain your reasoning.

Short Answer

Expert verified

No, the electric flux does not depend on whether the balloon is fully inflated or not.

Step by step solution

01

Net flux on the surface on a closed body

According to Gauss’s law the net flux on the surface of a closed body is given by dividing the enclosed charge on permittivity of space. The electric flux through a closed surface is zero only if the net charge enclosed by the body is also zero

02

Electric flux through a balloon

In the above statement we have seen that net flux on the surface of a closed body depends on the net charge enclosed inside the body. Therefore, it doesn’t depend on the geometry of the body containing charge. Hence, electric flux through the balloon doesn’t depend on whether it is fully inflated or not.

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