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(C) According to Gauss's Law,the total electric flux $\Phi_E$ through any closed surface is given by $\Phi_E = \frac{q_{enclosed}}{\epsilon_0}$,where

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remains unchanged

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(C) According to Gauss's Law,the total electric flux $\Phi_E$ through any closed surface is given by $\Phi_E = \frac{q_{enclosed}}{\epsilon_0}$,where $q_{enclosed}$ is the total charge enclosed by the surface and $\epsilon_0$ is the permittivity of free space.In this problem,the charge $q$ is distributed on the surface of the balloon. As the balloon is blown up,the total charge $q$ enclosed by the surface remains constant.Since the enclosed charge $q$ does not change,the total electric flux $\Phi_E = \frac{q}{\epsilon_0}$ also remains constant.Therefore,the electric flux remains unchanged.

$A$ charge is uniformly distributed on the surface of a spherical rubber balloon. As it is blown up,the total electric flux coming out of the surface

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