PRACTICE IT Use the worked example above to help you solve this problem. Consider a capacitor C being discharged through a resistor R as shown in gure a. The initial potential difference across the capacitor is 6.0 V, the capacitance is 3.70 x 10'6 F, and the resistance is 1.80 [1. (a) How long does it take for the charge on the capacitor to drop to one-fourth of its initial value? 9236-5 5 (b) Compute the initial charge and time constant. o= c 1:6.66e-6 y s (c) How long does it take to discharge all but the last quantum of charge, 1.6 x 1.0'19 C? (Assume an exponential decrease during the entire discharge process.) 2113.4 g s EXERCISE HINTS: GETNGSTARTED I I'MSTUCK'. Suppose the same type of series circuit has R = 9.50 x 104 [1, C = 6.00 pF, and an initial voltage across the capacitor of 3 V. (a) How long does it take the capacitor to lose hall= its initial charge? .=_.,. (b) HOW long does it take to lose all but the last 10 electrons on the negative plate? t = 13.442 x How many electrons were left in this situation? What is the total charge of that number of electrons? s