1. In this problem, we want to design an RC circuit. We're given a 9V battery, some resistors, and a capacitor of C = ZOMF. (a) Suppose we're aiming for the time constant of the circuit to be 7' = 13. If we only use one resistor (Fig 1a), what must its resistance be? (b) If instead we wanted to use two resistors of the same resistance in parallel with the capacitor in series (Fig 1b), what must the resistance of each resistor be? (0) Suppose a 9V battery is connected to each circuit at time t = 0. What is the the voltage across each capacitor at t = 0? What is the voltage across each capacitor after a long time (i.e. t > 00)? (d) What is the charge on the capacitor(s) at t = 0? After a long time, t > 00