A shown in the figure, a battery of emf $\varepsilon $ 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 = tc (tc is the time constant of the circuit) is :

Question

A shown in the figure, a battery of emf $\varepsilon $ 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 :

${{\varepsilon L} \over {e{R^2}}}$

${{\varepsilon L} \over {{R^2}}}$

${{\varepsilon L} \over {{R^2}}}\left( {1 - {1 \over e}} \right)$

${{\varepsilon R} \over {e{L^2}}}$

Solution

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