Question

A signal generator supplies a sine wave of 20V, 5 kHz to the circuit as shown. Determine total current IT. (a) 0.21∠33⁰ (b) 0.22∠33⁰ (c) 0.23∠33⁰ (d) 0.24∠33⁰ This question was addressed to me by my college professor while I was bunking the class. The doubt is from Parallel Circuits topic in portion Complex Impedence 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 option is (d) 0.24∠33⁰ Explanation: Capacitive reactance = 1/(6.28×5×10^3×0.2×10^-6)=159.2Ω.Current in the resistance branch IR=VS/R=20/100 = 0.2A.Current in capacitive branch IC=VS/XC = 20/159.2 = 0.126A.Total current IT = (IR+j IC) A = (0.2+j0.13) A. In polar form, IT = 0.24∠33⁰ A.