Problem 1: Consider the RC circuit shown. (a) (1 pt) What is the maximum potential energy that can be stored in the capacitor? (b) (4 pts) How long does it take for the capacitor to store half the maximum potential energy? (c) (3 pts) If we were to insert a dielectric sheet between the capacitor plates, how would the answers to (a) and (b) change? Indicate for each part whether the answer would increase, decrease, or stay the same and explain your reasoning.