The circuit shown in the figure consists of a | vedclass

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

Question

(D) At $t = 0$,the capacitor acts as a short circuit. The equivalent resistance of the circuit is $R_{eq} = R_3 + (R_1 || R_2) = 1 + \frac{2 	imes 2}

Vedclass · Accepted Answer

All of the above.

Vedclass · Answer

(D) At $t = 0$,the capacitor acts as a short circuit. The equivalent resistance of the circuit is $R_{eq} = R_3 + (R_1 || R_2) = 1 + \frac{2 	imes 2}{2 + 2} = 1 + 1 = 2 \, \Omega$. The total current from the battery is $I = \frac{\varepsilon}{R_{eq}} = \frac{10}{2} = 5 \, A$. This current flows through $R_3$,so option $A$ is correct.As $t 	o \infty$,the capacitor is fully charged and acts as an open circuit. The current flows through the series combination of $R_1 || R_2$ and $R_3$. The total resistance is $R_{eq} = 2 \, \Omega$. The current through $R_3$ is $I = \frac{10}{2} = 5 \, A$. Note: The original option $B$ was incorrect; the current is $5 \, A$ at $t 	o \infty$ as well.Since $R_1$ and $R_2$ are in parallel,the voltage across them is the same. Thus,$I_{R_1} R_1 = I_{R_2} R_2$,which implies $\frac{I_{R_1}}{I_{R_2}} = \frac{R_2}{R_1} = \frac{2}{2} = 1$. This ratio is constant. Thus,option $C$ is correct.Given the options,$D$ is the most appropriate choice as $A$ and $C$ are correct.

Similar Questions

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

Find the charge on the capacitor $C = 2 \, \mu F$ in the given circuit in $\mu C$.

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 $R_1$.

The circuit shown in the figure consists of a charged capacitor of capacity $3\, \mu F$ and a charge of $30\, \mu C$. At time $t = 0,$ when the key is closed,the value of current flowing through the $5\, M\Omega$ resistor is $'x'\, \mu A$. The value of $'x'$ to the nearest integer is .........

In the $RC$ circuit shown,the switch is closed at $t = 0$. Graphs showing the variation of potential $(V_R)$ across the resistor and potential $(V_C)$ across the capacitor are given. The time constant of the circuit is approximately equal to.....$ms$

Vedclass Test Series

Exam Paper Generator

Online Exam Module