(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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Electromagnetic Induction

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R-L D.C. Circuit

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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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$A$ 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 $t=0$?

MediumTS EAMCET 2011

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For $L-R$ circuit,the time constant is equal to

Medium

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An inductor of inductance $L = 400 \ mH$ and resistors of resistance $R_1 = 2 \ \Omega$ and $R_2 = 2 \ \Omega$ are connected to a battery of emf $E = 12 \ V$ as shown in the figure. The internal resistance of the battery is negligible. The switch $S$ is closed at $t = 0$. The potential drop across $L$ as a function of time is:

DifficultAIEEE 2009

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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

DifficultAIEEE 2006

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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.

$A$ 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 $t=0$?

For $L-R$ circuit,the time constant is equal to

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