Question

In the figures given below, Value of RA, RB and RC are 20 Ω, 10 Ω and 10 Ω respectively. The resistances R1, R2 and R3 in Ω are ________ (a) 2.5, 5 and 5 (b) 5, 2.5 and 5 (c) 5, 5 and 2.5 (d) 2.5, 5 and 2.5 The question was asked during a job interview. The origin of the question is Advanced Problems on Network Theory topic 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 answer is (a) 2.5, 5 and 5 Easiest explanation: R1 = \frac{R_B R_C}{R_A+R_B+R_C} = \frac{100}{40} = 2.5 Ω R2 = \frac{R_A R_C}{R_A+R_B+R_C} = \frac{200}{40} = 5 Ω R3 = \frac{R_B R_A}{R_A+R_B+R_C} = \frac{200}{40} = 5 Ω.