A cube has sides of length L. It is placed with one comer at the origin as shown in Fig. 22.32. The electric field is uniform and given by E = -Bi + Cj - Dk, where B, C, and D are positive constants.
(a) Find the electric flux through each of the six cubes faces S1, S2, S3, S4, S5, and S6.
(b) Find the electric flux through the entire cube.