(C) The graph in figure $(B)$ shows that the current $I$ starts from $0$ at $t=0$ and increases exponentially with time, eventually reaching a steady-

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a resistor and an inductor in series

(C) The graph in figure $(B)$ shows that the current $I$ starts from $0$ at $t=0$ and increases exponentially with time, eventually reaching a steady-state value.In a series $RC$ circuit, the current decreases exponentially after the switch is closed.In a series $RL$ circuit, the current $I$ is given by $I(t) = \frac{V}{R}(1 - e^{-Rt/L})$.At $t=0$, $I(0) = 0$, and as $t \to \infty$, $I \to V/R$, which matches the behavior shown in the graph.Therefore, the blackbox contains a resistor and an inductor in series.

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

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$A$ blackbox $(BB)$ which may contain a combination of electrical circuit elements (resistor, capacitor or inductor) is connected with other external circuit elements as shown in figure $(A)$. After the switch $S$ is closed at time $t=0$, the current $I$ as a function of time $t$ is shown in figure $(B)$. From this, we can infer that the blackbox contains:

KVPY 2013 All KVPY

A
a resistor and a capacitor in series
B
a resistor and a capacitor in parallel
C
a resistor and an inductor in series
D
a resistor and an inductor in parallel

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Class 12

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Electromagnetic Induction

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R-L D.C. Circuit

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An inductor $(L = 100 \, mH)$,a resistor $(R = 100 \, \Omega)$ and a battery $(E = 100 \, V)$ are initially connected in series as shown in the figure. After a long time,the battery is disconnected by short-circuiting the points $A$ and $B$. The current in the circuit $1 \, ms$ after the short circuit is

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An induction coil stores $32 \ J$ of magnetic energy and dissipates energy as heat at the rate of $320 \ W$ when a current of $4 \ A$ is passed through it. Find the time constant of the circuit when the coil is joined across a battery.

Medium

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In the circuit shown here, the point '$C$' is kept connected to point '$A$' till the current flowing through the circuit becomes constant. Afterward, suddenly, point '$C$' is disconnected from point '$A$' and connected to point '$B$' at time $t = 0$. The ratio of the voltage across the resistance $(V_R)$ and the inductor $(V_L)$ at $t = L/R$ will be equal to:

MediumJEE MAIN 2014

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Find the time constant of the following circuit.

Difficult

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$A$ coil has an inductance of $2.5\,H$ and a resistance of $0.5\,\Omega$. If the coil is suddenly connected across a $6.0\,V$ battery,then the time required for the current to rise to $0.63$ of its final value is.....$s$.

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An induction coil stores $32 \ J$ of magnetic energy and dissipates energy as heat at the rate of $320 \ W$ when a current of $4 \ A$ is passed through it. Find the time constant of the circuit when the coil is joined across a battery.

Find the time constant of the following circuit.

$A$ coil has an inductance of $2.5\,H$ and a resistance of $0.5\,\Omega$. If the coil is suddenly connected across a $6.0\,V$ battery,then the time required for the current to rise to $0.63$ of its final value is.....$s$.

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