(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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$A$ solenoid has an inductance of $60\, H$ and a resistance of $30\, \Omega$. If it is connected to a $100\, V$ battery,how long will it take for the current to reach $\frac{e - 1}{e} \approx 63.2\%$ of its final value?

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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:

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$A$ resistor of $20 \, \Omega$ and an inductor of $5 \, H$ are connected in series with a $5 \, V$ battery. What is the rate of change of current at $t = 0.25 \, s$?

Medium

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In the circuit shown below,the key $K$ is closed at $t = 0$. The current through the battery is

Medium

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

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$A$ solenoid has an inductance of $60\, H$ and a resistance of $30\, \Omega$. If it is connected to a $100\, V$ battery,how long will it take for the current to reach $\frac{e - 1}{e} \approx 63.2\%$ of its final value?

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:

$A$ resistor of $20 \, \Omega$ and an inductor of $5 \, H$ are connected in series with a $5 \, V$ battery. What is the rate of change of current at $t = 0.25 \, s$?

In the circuit shown below,the key $K$ is closed at $t = 0$. The current through the battery is

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

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