Switch S is closed at t = 0 in the circuit sh | vedclass

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

Question

(A) At $t = 0$,the switch $S$ is open. The inductor acts as an open circuit,but the current flows through the $20 \, V$ battery,the $5 \, \Omega$ resi

Vedclass · Accepted Answer

$2$

Vedclass · Answer

(A) At $t = 0$,the switch $S$ is open. The inductor acts as an open circuit,but the current flows through the $20 \, V$ battery,the $5 \, \Omega$ resistor,the $5 \, \Omega$ resistor,and the $10 \, V$ battery. The current $I_0$ through the inductor branch is $0 \, A$ because the switch is open.At steady state $(t 	o \infty)$,the inductor acts as a short circuit (zero resistance). The capacitor acts as an open circuit. The circuit simplifies to a loop with the $20 \, V$ battery,the $5 \, \Omega$ resistor,and the inductor branch (with $5 \, \Omega$ resistance). The $10 \, V$ battery branch is in parallel with the inductor branch. The current $I$ through the inductor is determined by the $20 \, V$ source and the $5 \, \Omega$ resistor in series with the inductor branch: $I = \frac{20 \, V}{5 \, \Omega} = 4 \, A$.The change in flux is $\Delta \phi = L \Delta I = L(I_{final} - I_{initial})$.Given $L = 500 \, mH = 0.5 \, H$,$I_{initial} = 0 \, A$,and $I_{final} = 4 \, A$.$\Delta \phi = 0.5 	imes (4 - 0) = 2 \, Wb$.

Switch $S$ is closed at $t = 0$ in the circuit shown. The change in magnetic flux in the inductor $(L = 500 \, mH)$ from $t = 0$ to an instant when it reaches steady state is ...... $Wb$.

Similar Questions

$A$ $50 \, V$ potential difference is suddenly applied to a coil with $L = 5 \times 10^{-3} \, H$ and $R = 180 \, \Omega$. The rate of increase of current after $0.001 \, s$ is ....... $A/s$.

$A$ constant voltage of $25 \, V$ is applied to a series $L-R$ circuit at $t=0$ by closing a switch. What is the potential difference across the resistor and the inductor at time $t=0$?

In the circuit shown,$X$ is joined to $Y$ for a long time,and then $X$ is joined to $Z$. The total heat produced in $R_2$ is

Three identical resistors with resistance $R = 12\,\Omega$ and two identical inductors with self-inductance $L = 5\,mH$ are connected to an ideal battery with an emf of $12\,V$ as shown in the figure. The current through the battery long after the switch has been closed will be $......A$.

The time constant of an $LR$ circuit is $10 \, s$. When a resistance of $10 \, \Omega$ is connected in series with the existing circuit,the time constant becomes $2 \, s$. The self-inductance of the circuit is ..... $H$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module