3. Walking along the streets of Bakersfield you stumble upon a mystery resistor. (Hey, stranger things have happened.) You decide to figure out what must be its resistance, call it R, and so you construct the following RC-circuit with your one-Farad condensor. You start to charge the circuit with a 12-volt car battery when you go to bed at midnight. Upon awaking at 9:00 a.m., you see that the charge-o-meter reads 2 x 10-2 coul. C (b) (a) Ra 210-2 R IF C 2 V S V (a) What must be the resistance of the mystery resistor? (b) Suppose instead, that you take your mystery resistor and place it in the second circuit with two new condensors C and C2. Let C = 25 F and C2 = 75 F. When you close the switch S, the condensors begin to charge. Make a plot of the total charge on the condensors at the following times: t = 0, 0.1 T, 0.25 T, 0.5 T, 0.75 T, T, 2T, 5T and 10 T.