Given,{R_1} = 1,Omega, R_2 = 2,Omega{C_1} = 2 | vedclass

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

Question

(D) The time constant of an $RC$ circuit is given by $	au = R_{eq} C_{eq}$.For circuit $I$:$R_{eq} = \frac{R_1 R_2}{R_1 + R_2} = \frac{1 	imes 2}{1

Vedclass · Accepted Answer

$8/9, 18, 4$

Vedclass · Answer

(D) The time constant of an $RC$ circuit is given by $	au = R_{eq} C_{eq}$.For circuit $I$:$R_{eq} = \frac{R_1 R_2}{R_1 + R_2} = \frac{1 	imes 2}{1 + 2} = \frac{2}{3}\,\Omega$$C_{eq} = \frac{C_1 C_2}{C_1 + C_2} = \frac{2 	imes 4}{2 + 4} = \frac{8}{6} = \frac{4}{3}\,\mu F$$	au_I = R_{eq} C_{eq} = \frac{2}{3} 	imes \frac{4}{3} = \frac{8}{9}\,\mu s$For circuit $II$:$R_{eq} = R_1 + R_2 = 1 + 2 = 3\,\Omega$$C_{eq} = C_1 + C_2 = 2 + 4 = 6\,\mu F$$	au_{II} = R_{eq} C_{eq} = 3 	imes 6 = 18\,\mu s$For circuit $III$:$R_{eq} = \frac{R_1 R_2}{R_1 + R_2} = \frac{1 	imes 2}{1 + 2} = \frac{2}{3}\,\Omega$$C_{eq} = C_1 + C_2 = 2 + 4 = 6\,\mu F$$	au_{III} = R_{eq} C_{eq} = \frac{2}{3} 	imes 6 = 4\,\mu s$Thus, the time constants are $8/9, 18, 4$.

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:

Similar Questions

$A$ capacitor of $4\, \mu F$ is connected to a $15\, V$ supply through a $1\, M\Omega$ resistance. The time taken by the capacitor to charge up to $63.2\%$ of its final charge will be......$s$.

Under steady state condition, the potential difference across the capacitor in the circuit is . . . . . . $V$.

In an $RC$ circuit while charging,the graph of $\log i$ versus time is as shown by the dotted line in the diagram,where $i$ is the current. When the value of the resistance is doubled,which of the solid curves best represents the variation of $\log i$ versus time?

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 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 $C$?

Vedclass Test Series

Exam Paper Generator

Online Exam Module

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: