Question

In the circuit given below, the value of RL for maximum power transfer is ___________ (a) 2.4 Ω (b) 2.6 Ω (c) 2.8 Ω (d) 3.0 Ω This question was posed to me in an online quiz. This intriguing question originated from Advanced Problems on Network Theorems in section Useful Theorems in Circuit 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

The correct option is (c) 2.8 Ω Easiest explanation: Using Y-∆ transformation, RAB = (9+9 || 6) || (9||6) = (18 || 6) || (9 || 6) =\(\left(\frac{18×6}{18+6}\right) || \left(\frac{9×6}{9+6}\right)\) = 4.5 || 3.6 = \(\frac{4.5×3.6}{4.5+3.6}\) = 2.8 Ω.