Question

For the circuit given below, the driving point impedance is given by, Z(s) = \(\frac{0.2s}{s^2+0.1s+2} \). The component values are _________ (a) L = 5 H, R = 0.5 Ω, C = 0.1 F (b) L = 0.1 H, R = 0.5 Ω, C = 5 F (c) L = 5 H, R = 2 Ω, C = 0.1 F (d) L = 0.1 H, R = 2 Ω, C = 5 F I got this question in a job interview. The origin of the question is Advanced Problems on Network Theorems in section 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

Correct choice is (d) L = 0.1 H, R = 2 Ω, C = 5 F The explanation is: Dividing point impedance = R || sL || \(\frac{1}{sC} \) = \(\Big\{\frac{(R)(\frac{1}{sC})}{R + \frac{1}{sC}}\Big\}\) || sL = \(\frac{\frac{R}{1+sRC}}{\frac{R}{1+sRC}+sL} \) = \(\frac{sRL}{s^2 RLC+sL+R} \) Given that, Z(s) = \(\frac{0.2s}{s^2+0.1s+2} \) ∴ On comparing, we get L = 0.1 H, R = 2 Ω, C = 5 F.