Question

An inductive coil connected to a 200 V, 50 Hz AC supply with 10 A current flowing through it dissipates 1000 W. Which of the following will have least value? (a) Resistance R (b) Reactance XL (c) Impedance Z (d) Reactance XC I had been asked this question in an online quiz. I want to ask this question from Problems Involving Standard Time Functions in section 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

The correct choice is (a) Resistance R Easiest explanation: Power dissipated is given by, I^2R = 1000 W Hence, R = \frac{1000}{100} Or, R = 10 Ω Impedance Z = \frac{V}{I} = \frac{200}{10} Or, Z = 20 Ω Reactance XL = \sqrt{Z^2 – R^2} = \sqrt{20^2 – 10^2} ∴ XL = 17.3 Ω.