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EL07 · Sem 4 · Signals & circuits

Series RLC band-pass resonance

Aim: Find the resonant frequency, bandwidth and Q of a band-pass RLC circuit.

🧪 Live simulation🧊 Real-time 3D bench⚠ Simulated values, not physical measurements

🔬 Virtual lab

Starting the lab…

📘 Theory

At resonance the inductive and capacitive reactances cancel, so the output across R peaks at f₀ = 1/(2π√LC). The bandwidth between the −3 dB points is R/(2πL) and the quality factor is Q = f₀/BW.

f₀ = 1/(2π√(LC)) · BW = R/(2πL) · Q = (1/R)√(L/C)

🧰 Apparatus (virtual)

  • Sine generator
  • 10 mH
  • 100 nF
  • 100 Ω
  • network analyser

📝 Procedure

🎤 Viva questions

Why is a radio tuner a resonant circuit

It passes one station’s frequency and rejects others.

What does a high Q mean

A narrow, sharp peak: very selective.

🛡️ Safety

Virtual lab at safe low voltages. On a real bench: switch off before rewiring, check capacitor polarity, and never touch mains wiring without supervision.

📚 Tools & references