The capacitor shown in the figure is in a ste | vedclass

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

Question

(D) In a steady state,the capacitor acts as an open circuit,so no current flows through the branch containing the capacitor.The circuit consists of tw

Vedclass · Accepted Answer

none of these

Vedclass · Answer

(D) In a steady state,the capacitor acts as an open circuit,so no current flows through the branch containing the capacitor.The circuit consists of two parallel branches connected in series with the main line. The current $I$ flows through the first resistor $R$. At the junction before the second part of the circuit,the current splits. However,since the capacitor is in a steady state,the entire current $I$ must pass through the resistor $R$ that is in parallel with the capacitor branch.The potential difference across the capacitor is equal to the potential difference across the resistor $R$ that is in parallel with it.Since the current $I$ flows through this resistor $R$,the potential difference $V$ across it is $V = I R$.The energy $U$ stored in a capacitor is given by the formula $U = \frac{1}{2} C V^2$.Substituting $V = I R$ into the energy formula:$U = \frac{1}{2} C (I R)^2 = \frac{1}{2} C I^2 R^2$.

The capacitor shown in the figure is in a steady state. The energy stored in the capacitor is

Similar Questions

$A$ $4\,\mu F$ capacitor is charged to $400\,V$ and then its plates are joined through a resistance of $1\,k\Omega$. The heat produced in the resistance is ............... $J$.

The capacitor $C$ is initially uncharged. Switch $S_1$ is closed for a long time while $S_2$ remains open. Now at $t = 0$, $S_2$ is closed while $S_1$ is opened. All the batteries are ideal and connecting wires are resistanceless. Find the $\text{INCORRECT}$ statement.

Find $I_1$ and $I_2$ at steady state.

The switch in the circuit shifts from $1$ to $2$ when $V_C > 2V/3$ and goes back to $1$ from $2$ when $V_C < V/3$. The voltmeter reads the voltage as plotted. What is the period $T$ of the waveform in terms of $R$ and $C$?

In the given figure,initially the capacitor is uncharged. The ratio of current at $t = 0$ and $t = \infty$ will be:

Vedclass Test Series

Exam Paper Generator

Online Exam Module