Question

In the circuit given below, the resistance between terminals A and B is 7Ω, between terminals B and C is 12Ω and between terminals C and A is 10Ω. The remaining one terminal in each case is assumed to be open. Then the value of RA and RB are _________ (a) RA = 9 Ω and RB = 7 Ω (b) RA = 2.5 Ω and RB = 4.5 Ω (c) RA = 3 Ω and RB = 3 Ω (d) RA = 5 Ω and RB = 1 Ω This question was posed to me by my college director while I was bunking the class. I would like to ask this question from Advanced Problems on Network Theory topic in chapter 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 (b) RA = 2.5 Ω and RB = 4.5 Ω To explain I would say: Given RA + RB = 7 with C open RB + RC = 12 with A as open RA + RC = 10 with B open Then, RA + RB + RC = \frac{29}{2} = 14.5 Hence, RA = 2.5 Ω, RB = 4.5 Ω and RC = 7.5 Ω.