(D) Given: Electromotive force $E = 2V$,Inductance $L = 4H$,Fuse current $I = 5A$.For an ideal inductor in a $DC$ circuit,the voltage across the induc

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(D) Given: Electromotive force $E = 2V$,Inductance $L = 4H$,Fuse current $I = 5A$.For an ideal inductor in a $DC$ circuit,the voltage across the inductor is given by $E = L \frac{di}{dt}$.Rearranging the equation,we get $di = \frac{E}{L} dt$.Integrating both sides from $t=0$ to $t$ and $i=0$ to $I$:$\int_{0}^{I} di = \int_{0}^{t} \frac{E}{L} dt$$I = \frac{E}{L} t$Substituting the given values:$5 = \frac{2}{4} t$$5 = 0.5 t$$t = \frac{5}{0.5} = 10s$Thus,the fuse will blow after $10s$.

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

Difficult

In the circuit shown,the cell is ideal. The coil has an inductance of $4H$ and zero resistance. $F$ is a fuse of zero resistance and will blow when the current through it reaches $5A$. The switch is closed at $t = 0$. The fuse will blow after how much time?

A
just after $t=0$
B
after $2s$
C
after $5s$
D
after $10s$

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Electromagnetic Induction

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R-L D.C. Circuit

For the given circuit,the current through the battery of $6\,V$ just after closing the switch $S$ will be $.......A$.

MediumJEE MAIN 2022

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In the circuit shown below,the switch is closed at time $t=0$. Which of the graphs shown below best represents the voltage across the inductor,as seen on an oscilloscope?

DifficultKVPY 2011

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In the circuits $(a)$ and $(b)$,switches $S_1$ and $S_2$ are closed at $t = 0$ and are kept closed for a long time. The variations of current in the two circuits for $t \ge 0$ are roughly shown by which figure? (Figures are schematic and not drawn to scale.)

DifficultJEE MAIN 2015

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$A$ coil of inductance $300\, mH$ and resistance $2\, \Omega$ is connected to a source of voltage $2\, V$. The current reaches half of its steady state value in $t$ seconds. Find the value of $t$. (in $, s$)

MediumAIEEE 2005

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An ideal coil of $10 \ H$ is connected in series with a resistance of $5 \ \Omega$ and a battery of $5 \ V$. $2 \ s$ after the connection is made,the current flowing in the circuit in amperes is:

MediumAIIMS 2018

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In the circuit shown,the cell is ideal. The coil has an inductance of $4H$ and zero resistance. $F$ is a fuse of zero resistance and will blow when the current through it reaches $5A$. The switch is closed at $t = 0$. The fuse will blow after how much time?

Similar Questions

For the given circuit,the current through the battery of $6\,V$ just after closing the switch $S$ will be $.......A$.

In the circuit shown below,the switch is closed at time $t=0$. Which of the graphs shown below best represents the voltage across the inductor,as seen on an oscilloscope?

In the circuits $(a)$ and $(b)$,switches $S_1$ and $S_2$ are closed at $t = 0$ and are kept closed for a long time. The variations of current in the two circuits for $t \ge 0$ are roughly shown by which figure? (Figures are schematic and not drawn to scale.)

$A$ coil of inductance $300\, mH$ and resistance $2\, \Omega$ is connected to a source of voltage $2\, V$. The current reaches half of its steady state value in $t$ seconds. Find the value of $t$. (in $, s$)

An ideal coil of $10 \ H$ is connected in series with a resistance of $5 \ \Omega$ and a battery of $5 \ V$. $2 \ s$ after the connection is made,the current flowing in the circuit in amperes is:

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