Question

Consider a circuit having resistances 2 Ω and 2 Ω in series with an inductor of inductance 2 H. The circuit is excited by a voltage of 12 V. A switch S is placed across the first resistance. Battery has remained switched on for a long time. The current i(t) after switch is closed at t=0 is _____________ (a) 6 (b) 6 – 3e^-t (c) 6 + 3e^-t (d) 3 – 6e^-t The question was asked in an online interview. The doubt is from Advanced Problems on Network Theory topic in division Network Theory and Complex Circuit Diagram of Network Theory Select the correct answer from above options network theory questions and answers, network theory questions pdf, network theory question bank, network theory gate questions and answers pdf, mcq on network theory pdf, gate network theory questions and solutions, network theory mcq Test , ies network theory questions, Network theory Questions for GATE EC Exam, Network Theory MCQ (Multiple Choice Questions)

Answer 1

The correct choice is (b) 6 – 3e^-t The explanation is: From the figure, we can infer that, I(t) = \frac{12}{12} \left(1 – \frac{2}{4} e^{-t}\right) = 6 – 3e^-t.