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Charging and discharging a capacitor. A 1.50$\mu \mathrm{F}$ capacitor is charged through a 125$\Omega$ resistor and then discharged through the same resistor by short-circuiting the battery. While the capacitor is being charged, find (a) the time for the charge on its plates to reach $1-1 / e$ of its maximum value and (b) the current in the circuit at that time. (c) During the discharge of the capacitor, find the time for the charge on its plates to decrease to 1/e of its initial value. Also, find the time for the current in the circuit to decrease to 1$/ e$ of its initial value.

a. the required time to reach the maximum charge on the capacitor is $[86.1 \mu \mathrm{s}]$b. the current in the circuit is $\left(0.633) I_{0}\right$c. the time taken for the current in the circuit decreases to 1$/ e$ of its initial value is $188 \mu s$

Physics 102 Electricity and Magnetism

Chapter 19

Current, Resistance, and Direct-Current Circuit

Electric Charge and Electric Field

Gauss's Law

Electric Potential

Capacitance and Dielectrics

Current, Resistance, and Electromotive Force

Direct-Current Circuits

Electromagnetic Induction

Cornell University

University of Sheffield

McMaster University

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