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 figure a. The initial potential difference across the capacitor is 4.5 V, the capacitance is 2.70 x 10-6 F, and the resistance is 2.40. (a) How long does it take for the charge on the capacitor to drop to one-fourth of its initial value? S (b) Compute the initial charge and time constant. Q = T = C S (c) How long does it take to discharge all but the last quantum of charge, 1.6 x 10-19 C? (Assume an exponential decrease during the entire discharge process.) S

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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 figure a. The initial potential difference across the capacitor is 4.5 V, the
capacitance is 2.70 x 10-6 F, and the resistance is 2.40.
(a) How long does it take for the charge on the capacitor to drop to one-fourth of its initial value?
S
(b) Compute the initial charge and time constant.
Q =
T =
C
S
(c) How long does it take to discharge all but the last quantum of charge, 1.6 x 10-19 C? (Assume
an exponential decrease during the entire discharge process.)
S
Transcribed Image Text: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 figure a. The initial potential difference across the capacitor is 4.5 V, the capacitance is 2.70 x 10-6 F, and the resistance is 2.40. (a) How long does it take for the charge on the capacitor to drop to one-fourth of its initial value? S (b) Compute the initial charge and time constant. Q = T = C S (c) How long does it take to discharge all but the last quantum of charge, 1.6 x 10-19 C? (Assume an exponential decrease during the entire discharge process.) S
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