During charging and discharging of a capacito | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) When a capacitor is connected to a $DC$ source through a resistor,the charge $q$ on the capacitor at any time $t$ is given by $q(t) = Q_0(1 - e^{-

Vedclass · Accepted Answer

Current flows in the circuit and is varying with time

Vedclass · Answer

(C) When a capacitor is connected to a $DC$ source through a resistor,the charge $q$ on the capacitor at any time $t$ is given by $q(t) = Q_0(1 - e^{-t/RC})$ during charging and $q(t) = Q_0 e^{-t/RC}$ during discharging.The current $I$ in the circuit is the rate of change of charge,$I = dq/dt$.For charging: $I = \frac{d}{dt} [Q_0(1 - e^{-t/RC})] = \frac{Q_0}{RC} e^{-t/RC} = I_0 e^{-t/RC}$.For discharging: $I = \frac{d}{dt} [Q_0 e^{-t/RC}] = -\frac{Q_0}{RC} e^{-t/RC} = -I_0 e^{-t/RC}$.In both cases,the magnitude of the current $I$ decreases exponentially with time $t$. Therefore,the current flows in the circuit and varies with time.

During charging and discharging of a capacitor:

Similar Questions

In the transient circuit shown,the time constant of the circuit is:

In the given figure,find the charge on the capacitor of capacitance $C$.

In the circuit shown in the figure,$R = \sqrt{\frac{L}{C}}$. Switch $S$ is closed at time $t = 0$. The current through $C$ and $L$ would be equal after a time $t$ equal to

As shown in the figure,if a capacitor $C$ is charged by connecting it with a battery of voltage $V$ through a resistance $R$,then the energy supplied by the battery will be:

Vedclass Test Series

Exam Paper Generator

Online Exam Module