Question

A 50Ω resistor is connected in parallel with an inductive reactance of 30Ω. A 20V signal is applied to the circuit. Find the line current in the circuit. (a) 0.77∠-58.8⁰ (b) 0.77∠58.8⁰ (c) 0.88∠-58.8⁰ (d) 0.88∠58.8⁰ This question was posed to me during an internship interview. Asked question 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

Right answer is (a) 0.77∠-58.8⁰ To explain I would say: Since the voltage across each element is the same as the applied voltage, the current in resistive branch is IR = VS/R = 20∠0⁰/50∠0⁰=0.4A. Current in the inductive branch is IL = VS/XL = 20∠0⁰/30∠90⁰= 0.66∠-90⁰. Total current is IT = 0.4-j0.66 = 0.77∠-58.8⁰.