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Topic: Reactance, impedance, LCR series circuit, resonance· Electromagnetic Induction and Alternating Currents

Which of the following combinations should be selected for better tuning of an L-C-R circuit used for communication?

1. \(R=25\ \Omega\), \(L=2.5\) H, \(C=45\ \mu\)F

2. \(R=15\ \Omega\), \(L=3.5\) H, \(C=30\ \mu\)F

3. \(R=25\ \Omega\), \(L=1.5\) H, \(C=45\ \mu\)F

4. \(R=20\ \Omega\), \(L=1.5\) H, \(C=35\ \mu\)F

1 answer

Best answer

Answer: 2. \(R=15\ \Omega\), \(L=3.5\) H, \(C=30\ \mu\)F

Good tuning means a sharp resonance, i.e. a high quality factor \(Q=\dfrac1R\sqrt{\dfrac LC}\).

Option\(\sqrt{L/C}\) (\(\Omega\))\(Q\)
12369.4
234222.8
31837.3
420710.3

Option (2) has the largest \(Q\) (large \(L\), small \(C\), small \(R\)), so it tunes best.

Doubtly AI · 30 Oct 2026 AI-generated · not yet verified Report
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