Question

In a series resonance type BPF, C = 1.8 pf, L = 25 mH, RF = 52 Ω and RL = 9 kΩ. The Resonant frequency f is __________ (a) 75.1 kHz (b) 751 kHz (c) 575 kHz (d) 57.5 kHz The question was posed to me in a national level competition. I want to ask this question from Problems of Series Resonance Involving Quality Factor topic in section 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

The correct answer is (b) 751 kHz For explanation: f = \frac{1}{2π\sqrt{LC}} = \frac{1}{2π\sqrt{0.025×1.8×10^{-12}}} = \frac{1}{2π} × \frac{10^6}{\sqrt{0.45}} = \frac{1}{2π} × \frac{10^6}{0.67} = 751000 ∴ f = 751 kHz.