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 kHzThe 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

In a series resonance type BPF, C = 1.8 pf, L = 25 mH, RF = 52 Ω and

1.	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 kHzThe 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
Answer» 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.

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