Question

A waveform is of the form of a trapezium, which increases linearly with the linear slope till θ = \frac{π}{3}, constant till θ = \frac{π}{2} and again linearly decreases to 0 till θ = π. The average value of this waveform is ______________ (a) 2 V (b) 0 V (c) 4 V (d) 3 V I have been asked this question in exam. The 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 option is (d) 3 V To explain: The average value of the waveform = \frac{2 X Area \,of \,1st \,triangle\, + \,Area \,of\, 2nd \,triangle}{π} = \frac{2 X \frac{π}{3} X \frac{1}{2} X 6 + 6(\frac{π}{2} – \frac{π}{3})}{π} = \frac{2π + π}{π} = 3 Volt.