The charge on the capacitor of capacitance C | vedclass

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

Question

(C) In the steady state, the capacitor acts as an open circuit, meaning no current flows through the branch containing the capacitor.Therefore, the cu

Vedclass · Accepted Answer

$\frac{C E R_2}{R_2+r}$

Vedclass · Answer

(C) In the steady state, the capacitor acts as an open circuit, meaning no current flows through the branch containing the capacitor.Therefore, the current $I$ flows only through the branch containing the resistor $R_2$ and the internal resistance $r$ of the battery.Using Ohm's law, the current in the circuit is $I = \frac{E}{R_2 + r}$.The potential difference $V$ across the capacitor is equal to the potential difference across the resistor $R_2$, because they are connected in parallel.Thus, $V = I R_2 = \frac{E R_2}{R_2 + r}$.The charge $Q$ on the capacitor is given by $Q = CV$.Substituting the value of $V$, we get $Q = C \left( \frac{E R_2}{R_2 + r} \right) = \frac{C E R_2}{R_2 + r}$.

The charge on the capacitor of capacitance $C$ shown in the figure below will be

Similar Questions

The stored charge in the capacitor in steady state of the following circuit is . . . . . . $\mu C$.

At steady state,the charge on the capacitor,as shown in the circuit below,is . . . . . . $\mu \text{C}.$

The charge stored by the capacitor $C$ in the given circuit in the steady state is . . . . . . $\mu C$.

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 $i_1 / i_2$:

$A$ 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 $\ln 2 = 0.69$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module