(a) A 36 O resistor is connected in series with a 5 µF capacitor and a battery.
ID: 1684677 • Letter: #
Question
(a) A 36 O resistor is connected in series with a 5 µF capacitor and a battery. What is the maximum charge to which this capacitor can be charged when the battery voltage is 6 V? Use microC for µC.(b) Initially the capacitor has zero charge. At what time during the charging process will the charge on this capacitor be 19.0 µC?
(c) The capacitor is now fully charged. The battery is removed and the capacitor is discharged through the resistor. What will be the charge on the capacitor after 0.18 ms?
Explanation / Answer
(a) A 36 O resistor is connected in series with a 5 µF capacitor and a battery. What is the maximum charge to which this capacitor can be charged when the battery voltage is 6 V? Use microC for µC maximum charge Q = CV = 30 µC (b) Initially the capacitor has zero charge. At what time during the charging process will the charge on this capacitor be q = 19.0 µC? q = Q[1 - e^(-t/RC)] so t = -RC ln(1 - q/Q) = 1.81*10^-4 s = 0.181 ms (c) The capacitor is now fully charged. The battery is removed and the capacitor is discharged through the resistor. What will be the charge on the capacitor after t = 0.18 ms? q = Q e^(-t/RC) = 11.0 µC
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