Question

In the network shown below, find the voltage at node ‘a’. (a) 5.22∠104.5⁰ (b) 5.22∠-104.5⁰ (c) 6.22∠104.5⁰ (d) 6.22∠-104.5⁰ This question was posed to me by my college director while I was bunking the class. Question is taken from Nodal Analysis in chapter Steady State AC 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

Right choice is (b) 5.22∠-104.5⁰ To explain: Applying nodal analysis at node ‘a’, (Va-10∠0^o)/j6+Va/(-j6)+(Va-Vb)/3=0. Applying nodal analysis at node ‘b’, (Vb-Va)/3+Vb/j4+Vb/j1=0. Solving the above equations we get, Va = 5.22∠-104.5⁰V.