(20 pts) A small m = 0.004 kg plastic ball that has charge of q = -2.00 C is suspended by a string that has length L = 1.0 m in an infinite parallel plate capacitor as shown L q (a) (10 points) If the ball is in equilibrium, what is the direction of the electric field generated by the infinite plates? To help support your answer, include a free-body diagram of the forces on charge q. Draw enough electric field lines in the region around q to represent the electric field accurately. (b) (10 points) When the ball is in equilibrium, the string makes an angle = 20 with the vertical, as shown in the figure. What is the charge density on the surface of one of the capacitor plates?