Question

A voltage waveform V(t) = 12t^2 is applied across a 1 H inductor for t ≥ 0, with initial electric current through it being zero. The electric current through the inductor for t ≥ 0 is given by __________ (a) 12 t (b) 24 t (c) 12 t^3 (d) 4 t^3 The question was posed to me during an internship interview. My query is from Advanced Problems on Network Theorems in portion Useful Theorems in Circuit Analysis 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 (d) 4 t^3 For explanation I would say: We know that, I = \(\frac{1}{L} \int_0^t V \,dt\) = 1\(\int_0^t 12 t^2 \,dt\) = 4 t^3.