(D) According to Kirchhoff's voltage law for the $RC$ circuit,the sum of the potential drops across the resistor and the capacitor must equal the elec

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(D) According to Kirchhoff's voltage law for the $RC$ circuit,the sum of the potential drops across the resistor and the capacitor must equal the electromotive force of the battery:$V_R + V_C = \xi$The potential drop across the resistor is given by $V_R = I \times R$. Given $I = 0.50\ A$ and $R = 10.0\ \Omega$,we have:$V_R = 0.50\ A \times 10.0\ \Omega = 5.0\ V$Substituting this into the voltage equation:$5.0\ V + V_C = 12\ V$$V_C = 12\ V - 5.0\ V = 7.0\ V$The charge $q$ on the capacitor is given by $q = C \times V_C$. Given $C = 5.0\ F$ and $V_C = 7.0\ V$:$q = 5.0\ F \times 7.0\ V = 35\ C$

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

Difficult

For the $RC$ circuit shown,the resistance is $R = 10.0\ \Omega$,the capacitance is $C = 5.0\ F$ and the battery has voltage $\xi = 12\ V$. The capacitor is initially uncharged when the switch $S$ is closed at time $t = 0$. At some time later,the current in the circuit is $0.50\ A$. What is the magnitude of the charge across the capacitor at that moment (in $C$)?

A
$0$
B
$25$
C
$30$
D
$35$

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Class 12

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Electrostatic Potential and Capacitance

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Charging and Discharging of Capacitance and RC circuit (DC)

In the given circuit,the charge on the capacitors of capacitance $10\,\mu F$ and $24\,\mu F$ in the steady state will be:

Medium

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

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$A$ capacitor of capacitance $C = 1 \, \mu F$ is suddenly connected to a battery of $100 \, V$ through a resistance $R = 100 \, \Omega$. The time taken for the capacitor to be charged to $50 \, V$ is $.... \times 10^{-4} \, s$. (Take $\ln 2 = 0.69$)

MediumJEE MAIN 2021

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An $RC$ circuit as shown in the figure is driven by an $AC$ source generating a square wave. The output wave pattern monitored by $CRO$ would look close to

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$A$ capacitor of capacitance $C$ is connected in series with a resistance $R$ and a $DC$ source of $emf$ $E$ through a key. The capacitor starts charging when the key is closed. By the time the capacitor has been fully charged, what amount of energy is dissipated in the resistance $R$?

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In the given circuit,the charge on the capacitors of capacitance $10\,\mu F$ and $24\,\mu F$ in the steady state will be:

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

$A$ capacitor of capacitance $C = 1 \, \mu F$ is suddenly connected to a battery of $100 \, V$ through a resistance $R = 100 \, \Omega$. The time taken for the capacitor to be charged to $50 \, V$ is $.... \times 10^{-4} \, s$. (Take $\ln 2 = 0.69$)

An $RC$ circuit as shown in the figure is driven by an $AC$ source generating a square wave. The output wave pattern monitored by $CRO$ would look close to

$A$ capacitor of capacitance $C$ is connected in series with a resistance $R$ and a $DC$ source of $emf$ $E$ through a key. The capacitor starts charging when the key is closed. By the time the capacitor has been fully charged, what amount of energy is dissipated in the resistance $R$?

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