(B) $(i)$ At $t \rightarrow 0$,the capacitor acts as a short circuit (zero resistance wire). In this state,the total resistance of the circuit is $R_1

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$I = \frac{E}{R_1}, I = \frac{E}{R_1 + R_2}$

(B) $(i)$ At $t \rightarrow 0$,the capacitor acts as a short circuit (zero resistance wire). In this state,the total resistance of the circuit is $R_1$. Therefore,the current $I = \frac{E}{R_1}$.$(ii)$ At $t \rightarrow \infty$,the capacitor is fully charged and acts as an open circuit (no current flows through it). In this state,the resistors $R_1$ and $R_2$ are in series. The total resistance is $R_1 + R_2$. Therefore,the current $I = \frac{E}{R_1 + R_2}$.

Class 12 Physics Electric Potential and Capacitance Charging and Discharging of Capacitance and RC circuit (DC)

Medium

Find the current from the battery at $(i)$ $t \rightarrow 0$ (initial) and $(ii)$ $t \rightarrow \infty$ (after a long time) when the switch is closed at $t = 0$.

A
$I = \frac{E}{R_1}, I = \frac{E}{R_1 - R_2}$
B
$I = \frac{E}{R_1}, I = \frac{E}{R_1 + R_2}$
C
$I = \frac{E}{R_2}, I = \frac{E}{R_1}$
D
$I = \frac{R_1 + R_2}{E + R_1}, I = \frac{E}{R_1 + R_2}$

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Class 12

Physics Questions

Chapter

Electric Potential and Capacitance

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Charging and Discharging of Capacitance and RC circuit (DC)

At time $t = 0$,the switch $K$ is closed. Which of the following statements is true for the current '$i$' flowing through the resistor $AB$ in the given circuit?

Medium

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Find the charge on the capacitor $C$ in the following circuit in $\mu C$.

Medium

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Which of the following is a possible application of an $RC$ circuit?

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Two identical capacitors $A$ and $B$ are charged to the same potential $V$ and are connected in two circuits at $t = 0,$ as shown in the figure. The charge on the capacitors at time $t = CR$ are respectively:

Medium

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The capacitor $C$ is initially without charge. $X$ is now joined to $Y$ for a long time,during which $H_1$ heat is produced in the resistance $R$. The $X-Y$ connection is removed and $X$ is now joined to $Z$ for a long time,during which heat $H_2$ is produced in $R$.

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Find the current from the battery at $(i)$ $t \rightarrow 0$ (initial) and $(ii)$ $t \rightarrow \infty$ (after a long time) when the switch is closed at $t = 0$.

Similar Questions

At time $t = 0$,the switch $K$ is closed. Which of the following statements is true for the current '$i$' flowing through the resistor $AB$ in the given circuit?

Find the charge on the capacitor $C$ in the following circuit in $\mu C$.

Which of the following is a possible application of an $RC$ circuit?

Two identical capacitors $A$ and $B$ are charged to the same potential $V$ and are connected in two circuits at $t = 0,$ as shown in the figure. The charge on the capacitors at time $t = CR$ are respectively:

The capacitor $C$ is initially without charge. $X$ is now joined to $Y$ for a long time,during which $H_1$ heat is produced in the resistance $R$. The $X-Y$ connection is removed and $X$ is now joined to $Z$ for a long time,during which heat $H_2$ is produced in $R$.

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