Question

In Maxwell’s capacitance bridge for calculating unknown inductance, the various values at balance are, R1 = 300 Ω, R2 = 700 Ω, R3 = 1500 Ω, C4 = 0.8 μF. The values of R1, L1 and Q factor, if the frequency is 1100 Hz are ____________ (a) 240 Ω, 0.12 H, 3.14 (b) 140 Ω, 0.168 H, 8.29 (c) 140 Ω, 0.12 H, 5.92 (d) 240 Ω, 0.36 H, 8.29 I got this question by my college director while I was bunking the class. Enquiry is from Problems Involving Coupling Coefficient topic in division Resonance & Magnetically Coupled Circuit 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 answer is (b) 140 Ω, 0.168 H, 8.29 To explain: From Maxwell’s capacitance, we have R1 = \frac{R_2 R_3}{R_4} = \frac{300 ×700}{1500} = 140 Ω L1 = R2 R3 C4 = 300 × 700 × 0.8 × 10^-6 = 0.168 H ∴ Q = \frac{ωL_1}{R_1} = \frac{2 × π × 1100 × 0.168}{140} = 8.29.