A point charge causes an electric flux of $-1.0 imes 10^3 ext{ N m}^2 ext{/C}$ to pass through a

Question

A point charge causes an electric flux of $-1.0 	imes 10^3	ext{ N m}^2	ext{/C}$ to pass through a spherical Gaussian surface of $10.0	ext{ cm}$ radius centered on the charge. If the radius of the Gaussian surface were doubled, how much flux would pass through the surface?

Professor PC Thomas Classes · Answer

By Gauss's law, the electric flux through any closed surface depends only on the net charge enclosed ($Q/\epsilon_0$) and is independent of the size or shape of the surface. Thus, the flux remains the same.