(D) The equation for an $LR$ circuit is given by $V = IR + L \frac{dI}{dt}$.At the instant the switch is closed $(t = 0)$,the current $I$ in the circu

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(D) The equation for an $LR$ circuit is given by $V = IR + L \frac{dI}{dt}$.At the instant the switch is closed $(t = 0)$,the current $I$ in the circuit is $0$.Substituting $I = 0$ into the equation,we get $V = L \frac{dI}{dt}$.Therefore,the initial rate of growth of the current is $\frac{dI}{dt} = \frac{V}{L}$.Given $V = 1.6 \, V$ and $L = 0.20 \, H$,we have $\frac{dI}{dt} = \frac{1.6}{0.20} = 8 \, A \, s^{-1}$.

Class 12 Physics Electromagnetic Induction R-L D.C. Circuit

Medium

$A$ coil of inductance $0.20 \, H$ is connected in series with a switch and a cell of $emf$ $1.6 \, V$. The total resistance of the circuit is $4.0 \, \Omega$. What is the initial rate of growth of the current when the switch is closed? (in $A \, s^{-1}$)

A
$0.050$
B
$0.40$
C
$0.13$
D
$8$

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Electromagnetic Induction

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R-L D.C. Circuit

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MediumTS EAMCET 2011

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In the circuit shown,the switch $S_1$ is closed at time $t = 0$ and the switch $S_2$ is kept open. At some later time $t_0$,the switch $S_1$ is opened and $S_2$ is closed. The behavior of the current $I$ as a function of time $t$ is given by:

MediumJEE MAIN 2019

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The total heat produced in resistor $R$ in an $RL$ circuit when the current in the inductor decreases from $I_0$ to $0$ is

Easy

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The time constant of an inductance coil is $3 \text{ ms}$. When a $90 \Omega$ resistance is joined in series,the time constant becomes $0.5 \text{ ms}$. The inductance and the resistance of the coil are:

DifficultAP EAMCET 2010

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$A$ coil of inductance $8.4 \, mH$ and resistance $6 \, \Omega$ is connected to a $12 \, V$ battery. The current in the coil is $1.0 \, A$ at approximately the time

MediumIIT 1999

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$A$ coil of inductance $0.20 \, H$ is connected in series with a switch and a cell of $emf$ $1.6 \, V$. The total resistance of the circuit is $4.0 \, \Omega$. What is the initial rate of growth of the current when the switch is closed? (in $A \, s^{-1}$)

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$A$ 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 $t=0$?

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