As shown in the figure, a battery of emf ∈ is connected to an inductor L and resistance R in series.…

As shown in the figure, a battery of emf $\in$ is connected to an inductor $L$ and resistance $R$ in series. The switch is closed at $t=0.$ The total charge that flows from the battery, between $t=0$ and $t=t_c$ ( $t_c$ is the time constant of the circuit) is:

1. $\frac{\in L}{e{R}^2}$
2. $\frac{\in L}{R^2}\left(1-\frac{1}{e}\right)$
3. $\frac{\in L}{R^2}$
4. $\frac{\in R}{e{L}^2}$

Solution

Asked in: JEE Main 2020 (08 Jan Shift 2)

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