In which of the following circuits is the cur | vedclass

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(B) At $t = 0$,the inductor $L$ opposes any change in current,so it acts as an open circuit. The circuits can be analyzed at $t = 0$ by replacing $L$

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$(ii)$

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(B) At $t = 0$,the inductor $L$ opposes any change in current,so it acts as an open circuit. The circuits can be analyzed at $t = 0$ by replacing $L$ with an open circuit:For circuit $(i)$: The circuit is open,so the current $i_1 = 0$.For circuit $(ii)$: The inductor is in series with a resistor $R$,and this branch is in parallel with another resistor $R$. Since the inductor branch is open,the current flows only through the parallel resistor $R$. The total current from the battery is $i_2 = E/R$.For circuit $(iii)$: The inductor is in parallel with a resistor $R$. Since the inductor branch is open,the current flows through the series resistor $R$ and then through the parallel resistor $R$. The total resistance is $2R$,so the current is $i_3 = E/(2R)$.Comparing the currents: $i_2 = E/R$,$i_3 = E/(2R)$,and $i_1 = 0$. Thus,$i_2 > i_3 > i_1$. The current is maximum in circuit $(ii)$.

In which of the following circuits is the current maximum just after the switch $S$ is closed?

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