Figure shows a circuit that contains three identical resistors with… | NEET 2017

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Inductors & DC Transients (Mixed)

Figure shows a circuit that contains three identical resistors with resistance R = 9.0 $\Omega$ each, two identical inductors with inductance $L$ = 2.0 mH each, and an ideal battery with emf $\varepsilon = 18\text{ V}$ . The current $i$ through the battery just after the switch is closed is

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Answer: (b)

Just after closing, each inductor carries zero current (acts as an open switch) and the uncharged capacitor acts as a short.
Branch with $L$ and $R$ : current $0$ .
Middle branch $R$ : current $\frac{18}{9} = 2\text{ A}$ .
Right branch: $R$ in series with $L \parallel C$ ; $C$ shorts the inductor, so current $\frac{18}{9} = 2\text{ A}$ .
Battery current $i = 0 + 2 + 2 = 4\text{ A}$ , so the answer is (b) 4 A.

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