Problem 3: In a parallel plate system, the distance between the plates A and B is 0.03m and the cross- sectional area of the plates is 0.5m². A battery supplying a 15V potential difference is connected across the plates so that plate A is at the higher potential. (a) What are the magnitude and direction of the electric field between the plates? (b) If an electron travels from plate A to plate B, what is the velocity of the electron when it reaches plate B, assuming it started from rest at A? (c) Determine the capacitance of the parallel plate system. Assume that the dielectric medium between the plates is air. (d) How much charge and energy are stored in the capacitor? (e) If the battery is disconnected and a slab of mica (K=6) is inserted between the capacitor's plate, determine the potential difference between the capacitor plates in this configuration.