Question

In a series RLC circuit having resistance R = 2 Ω, and excited by voltage V = 1 V, the average power is 250 mW. The phase angle between voltage and current is ___________ (a) 75° (b) 60° (c) 15° (d) 45° The question was asked by my school principal while I was bunking the class. Asked question is from Advanced Problems Involving Complex Circuit Diagram in portion Network Theory and Complex Circuit Diagram 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 (d) 45° The best explanation: VI cos θ = 0.25 or I cos θ = 0.25 Or, Z cosθ = 2 Or, \frac{V}{I} cos⁡θ = 2 Or, cos θ = \frac{1}{\sqrt{2}} So, from the above equations, cos θ = 0.707 and θ = 45°.