1. (3 points) A charge is at the center of a cube of side length a . What is the electric flux through the cube due to this charge? 2. (3 points) A charge Q is a distance b above the center of the top face of a cube of side length a. (Note: This charge is outside of the cube.) What is the electric flux through the cube due to this charge? 3. (4 points) A parallel plate capacitor has a plate area of 40.0 cm and a plate separation of 200 um. If a 10.0V battery is hooked up to the capacitor, what is the electric field strength inside the capacitor? 4. (12 points) A piece of metal has a hollow cavity inside. Inside the cavity is a point charge Q = 2.00C (not touching the metal). The total charge on the piece of metal is = 4.00C. a. What is the total charge on the inner surface of the metal? b. What is the total charge on the outer surface of the metal? C. What is the electric field strength inside the metal (between the inner and outer surfaces)? d. If the electric potential at the outer surface is V = 5.00V, what is the electric potential at the inner surface? 5. (6 points) An electric potential is described in a region by the equation V(x, y, z)= Axyʻz where A is a constant. What are the components of the electric field? 6. (8 points) A charge of +4.00 C is at the point (0,0). A charge of +2.00 C is at the position (0, +4.00 cm). A charge of -3.00 C is at the position (+3.00 cm, 0). a. What is the total electric potential energy stored in this three charge system? 7. (7 points) An electron is released from rest. It is then accelerated through a potential difference of 150V. How fast is it going after moving through that potential difference? (Solve this using energy principles. DO NOT solve using newton’s second law and kinematics.) The charge of an electron is 1.60×10-C and the mass is 9.11×10-kg.