A source of constant voltage V is connected to a resistance R and two ideal inductors $$L1$$ and $$L2$$ through a switch S as shown. There is no mutual inductance between the two inductors. The switch S is initially open. At $$t=0$$, the switch is closed and current begins to flow. Which of the following options $$is/are$$ correct?

Question

A source of constant voltage V is connected to a resistance R and two ideal inductors  $$L1$$ and $$L2$$ through a switch S as shown. There is no mutual inductance between the two inductors. The switch S is initially open. At $$t=0$$, the switch is closed and current begins to flow. Which of the following options $$is/are$$ correct?

Infinity Learn · Accepted Answer

After a long time, $$t=$$∞, inductor behaves as conducting wire $$i=VR$$  and $$L1i1=L2i2$$ and $$i=i1+i2$$⇒$$i1=L2L1+L2i=VRL2L1+L2$$ and $$i2=VRL1L1+L2$$ At $$t=0$$, inductor behaves like infinte resistance, so no current pass through resistor.

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