Question

A voltage waveform V (t) = 12t^2 is applied across a 1 H inductor for t≥0, with initial current through it being 0. The current through the inductor for t greater than 0 is ___________ (a) 12t (b) 24t (c) 12t^3 (d) 4t^3 The question was posed to me at a job interview. My question is from Problems Involving Standard Time Functions in division Application of the Laplace Transform 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

Right option is (d) 4t^3 The explanation: We know that, I = \frac{1}{L} \int_0^t V \,dt Here, V (t) = 12t^2 ∴ I = \int_0^t 12t^2 \,dt = \big[\frac{12t^3}{3}\big]_0^t = 4t^3 A.