Problem

The voltage across a 10 μF capacitor in a series R-C circuit is vC = 40 mV(1 − e−t/20 ms)....

The voltage across a 10 μF capacitor in a series R-C circuit is vC = 40 mV(1 − et/20 ms).

a. On a practical basis, how much time must pass before the charging phase has passed?


b. What is the resistance of the circuit?


c. What is the voltage at t = 20 ms?


d. What is the voltage at 10 time constants?


e. Under steady-state conditions, how much charge is on the plates?


f. If the leakage resistance is 1000 MΩ, how long will it take (in hours) for the capacitor to discharge if we assume that the discharge rate is constant throughout the discharge period?

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