A cube of side length L has a charge of Q at its center. Which of the followings statements about the electric field due the charge over the cube's surface is/are true? I) Once the net electric flux is evaluated, the electric field can be easily found from Gauss's law. II) The magnitude of the electric field is constant and given by 25- II) The closed surface integral of the electric field over the cube's surface is equal to Qic, I) The direction of the electric field is constant but its magnitude is not. O A) IV O B) Iand Il O O l and Il O D) Il and IV O E) II

Problem 3 (a) Two charges of 8uC and -5uC are inside a cube of sides 0.45m. What is the total electric flux through the cube? (b) Repeat (a) if the same two charges are inside a spherical shell of radius 0. 45 m.

9) An electric charge is distributed across a triangular plate whose vertices lie at (0,1), (1,0) and (1,1) on the xy plane. The function f(x,y) = xy gives the charge density of each point on the plate. Find the total charge on the plate.

Three non-conducting infinite planes of charge lie in the xy plane. Let oi = 120.0 µC/m², 02 = -70.0 µC/m², 03 = m and z = 0.35 m respectively. a) Use Gauss' law to derive the equation for the electric field due to a non-conducting plane of charge. b) What is the magnitude and direction of the electric field at z = 0.50 m? c) If you place a proton at z = 0.50 m and release it from rest, what acceleration will the proton experience? 80.0 µC/m2, where plane 1 lies at z = 0.00 m, and plane 2 and 3 lie at z = 0.20 1.