A positive point charge q is at the center of a cube of side L. A large number N of electric field lines are drawn from the point charge.

(a) How many of the field lines pass through the surface of the cube?

(b) How many lines pass through each face, assuming that none pass through the edges or corners?

(c) What is the net outward flux of the electric field through the cubic surface?

(d) Use symmetry arguments to find the flux of the electric field through one face of the cube.

(e) Which, if any, of your answers would change if the charge were inside the cube but not at its center?