(Solved): Answer the following short questions using Gauss's law. (a) The figure shows four charges and three ...

Answer the following short questions using Gauss's law. (a) The figure shows four charges and three Gaussian surfaces. Find the total electric flux through each of the surfaces. Here $q_1,q_3<0$ and $q_2,q_4>0$. (b) Rank the four cases in the figure according to the magnitude of the total flux through the surface, largest first, (c) A point charge $q$ is placed at the centre of a cube with side length $L$. What is the electric flux through one of the six faces of the cube? Explain your reasoning carefully. How does your answer change if $L$ is doubled? (d) An empty bullet shaped surface has been placed in a uniform electric field ${\overrightarrow{\mathbf{E}}}_0$ which is directed along the surface's central axis. Calculate the electric flux through the curved part of the surface.