(A) We know that in the steady state,the capacitor behaves like an open circuit,meaning no current flows through it.Therefore,the potential difference

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(A) We know that in the steady state,the capacitor behaves like an open circuit,meaning no current flows through it.Therefore,the potential difference across the capacitor is equal to the battery voltage,which is $45 \text{ V}$.The final charge $q$ on the capacitor is given by the formula:$q = C \times V$Given:Capacitance $C = 20 \mu F = 20 \times 10^{-6} \text{ F}$Voltage $V = 45 \text{ V}$Substituting the values:$q = 20 \times 10^{-6} \times 45$$q = 900 \times 10^{-6} \text{ C}$$q = 9 \times 10^{-4} \text{ C}$

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

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$A$ $20 \mu F$ capacitor is connected to a $45 \text{ V}$ battery through a circuit whose resistance is $2000 \Omega$. What is the final charge on the capacitor?

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A
$9 \times 10^{-4} \text{ C}$
B
$9.154 \times 10^{-4} \text{ C}$
C
$9.8 \times 10^{-4} \text{ C}$
D
None of these

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Electric Potential and Capacitance

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Charging and Discharging of Capacitance and RC circuit (DC)

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Given $R_1 = 1\,\Omega$,$C_1 = 2\,\mu F$ and $R_2 = 2\,\Omega$,$C_2 = 4\,\mu F$. The time constants (in $\mu s$) for the circuits $I, II, III$ are respectively:

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In the circuit shown in the figure,$C_1 = 2C_2$. Switch $S$ is closed at time $t = 0$. Let $i_1$ and $i_2$ be the currents flowing through the branches containing $C_1$ and $C_2$ respectively at any time $t$. Then the ratio $i_1 / i_2$:

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Switch $S$ of the circuit shown in the figure is in position $1$ for a long time. At instant $t = 0$,it is thrown from position $1$ to $2$. Find the thermal power $P_1(t)$ generated in resistance $R_1$.

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When a lamp is connected in series with a capacitor,then:

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An electric bulb, a capacitor, a battery, and a switch are all connected in series in a circuit. How does the intensity of light vary when the switch is turned on?

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$A$ $20 \mu F$ capacitor is connected to a $45 \text{ V}$ battery through a circuit whose resistance is $2000 \Omega$. What is the final charge on the capacitor?

Similar Questions

Given $R_1 = 1\,\Omega$,$C_1 = 2\,\mu F$ and $R_2 = 2\,\Omega$,$C_2 = 4\,\mu F$. The time constants (in $\mu s$) for the circuits $I, II, III$ are respectively:

In the circuit shown in the figure,$C_1 = 2C_2$. Switch $S$ is closed at time $t = 0$. Let $i_1$ and $i_2$ be the currents flowing through the branches containing $C_1$ and $C_2$ respectively at any time $t$. Then the ratio $i_1 / i_2$:

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