Question

In the circuit shown below the current I(t) for t≥0^+ (assuming zero initial conditions) is ___________ (a) 0.5-0.125e^-1000t A (b) 1.5-0.125e^-1000t A (c) 0.5-0.5e^-1000t A (d) 0.375e^-1000t A I got this question in unit test. This interesting question is from Dot Convention in Magnetically Coupled Circuits in section Resonance & Magnetically Coupled Circuit 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 answer is (a) 0.5-0.125e^-1000t A Easy explanation: I (t) = \frac{1.5}{3} = 0.5 LEQ = 15 mH REQ = 5+10 = 15Ω L = \frac{L_{EQ}}{R_{EQ}} = \frac{15 × 10^3}{15} = \frac{1}{1000} I (t) A – (A – B) e^-t = 0.5 – (0.5-B) e^-1000t = 0.5(0.5 – 0.375) e^-1000t = 0.5 – 0.125 e^-1000t I (t) = 0.5-0.125e^-1000t.