(Solved): 1. A closed hemisphere of radius R is placed in a uniform electric field E that is directed paralle ...

1. A closed hemisphere of radius $R$ is placed in a uniform electric field $\vec{E}$ that is directed parallel to the axis of the hemisphere. The surface can be thought of as consisting of two distinct pieces: a flat circular surface, $S_1$, and a curved hemispherical surface, $S_2$. (a) What is the electric flux through surface $S_1$ ? (b) What is the electric flux through surface $S_2$ ? (c) What is the net charge inside the entire surface?