Objective and use case
What you’ll build: A simple RL low-pass filter for audio using a 10 mH inductor and a 100 Ω resistor, allowing you to verify its cutoff behavior with an audio signal generator and an oscilloscope.
Why it matters / Use cases
- Understanding the frequency response of audio filters is crucial for audio engineering and sound design.
- Low-pass filters are used in audio applications to eliminate high-frequency noise, ensuring cleaner sound output.
- This project serves as a foundational exercise for students and hobbyists in electronics, enhancing practical skills in circuit design.
- Testing the filter’s performance with an oscilloscope provides hands-on experience with measurement tools and signal analysis.
Expected outcome
- Ability to measure the cutoff frequency of the filter and confirm it aligns with theoretical predictions.
- Observation of signal attenuation at frequencies above the cutoff, quantifiable in decibels (dB).
- Understanding of the phase shift introduced by the filter, measurable through oscilloscope readings.
- Experience in wiring and troubleshooting basic electronic components, enhancing practical skills.
Audience: Electronics enthusiasts, students; Level: Basic
Architecture/flow: The circuit consists of an audio signal generator feeding into a low-pass filter made of an inductor and resistor, with output monitored via an oscilloscope.
Materials
- 1x L1: 10 mH inductor (low DCR, ≥100 mA current rating)
- 1x R1: 100 Ω, 0.25 W resistor (acts as load/simulated speaker)
- 1x Audio signal generator (sine, 20 Hz–20 kHz, 1 Vpp, 0 V offset)
- 1x Oscilloscope with 2 channels (CH1, CH2) or 2 multimeters in AC mode
- 1x Breadboard or terminal block
- 6x Jumper wires (or clip leads)
- Optional: 1x BNC-to-clip lead cable for the generator
Wiring guide
- Place R1 (100 Ω) so one end will connect to the output node and the other to GND.
- Place L1 (10 mH) so it will be in series between the generator output and the output node.
- Connect the signal generator output (hot) to the left node that feeds L1 (this is VIN).
- Connect the far end of L1 to the output node (this is VOUT).
- Connect the top of R1 to the same output node (VOUT).
- Connect the bottom of R1 to the generator ground, then to GND.
- Connect oscilloscope:
- CH1 probe tip to VIN; CH1 reference to GND.
- CH2 probe tip to VOUT; CH2 reference to GND.
- Abbreviations used:
- VIN: input voltage node from the generator referenced to GND (measure at the ●VIN dot).
- VOUT: output node after the inductor, referenced to GND (measure at the ●VOUT dot).
Schematic
GEN (seno 100 Hz–10 kHz) L1 1.2 mH SPK1 8 Ω
┌─────────┐ ┌─────────┐ ┌─────────┐
│ │──────────●Vin────────│ │─────●Vout────│ │
│ │ │ │ │ │
│ │ │ │ │ │
└─────────┘ └─────────┘ └─────────┘
│ │ │
│ │ │
─────────────────┴─────────────────────────────────┴──────────────────────┴──────
GNDMeasurements and tests
- Expected cutoff:
- For RL low-pass, fc ≈ R1 / (2πL1) ≈ 100 / (2π·0.01) ≈ 1.59 kHz.
- Initial check:
- Set generator to 1 kHz, sine, 1 Vpp, 0 V offset.
- Verify VIN ≈ 1 Vpp and VOUT is close to VIN (slight drop is normal due to L1’s DCR).
- Frequency sweep (magnitude):
- Sweep 100 Hz → 10 kHz.
- Below ~500 Hz: observe VOUT ≈ VIN (passband).
- Near 1.6 kHz: VOUT ≈ 0.707·VIN (−3 dB point).
- Above ~5 kHz: VOUT should fall ~20 dB/decade (first-order roll-off).
- Phase observation (oscilloscope):
- Compare CH1 (VIN) and CH2 (VOUT).
- Near fc, VOUT lags VIN by ~45°; above fc, increasing lag tends toward 90°.
- Stability and loading:
- Try replacing R1 with an 8 Ω speaker if available; recalculate fc ≈ 8/(2π·0.01) ≈ 127 Hz.
- Note: lower R shifts fc downward and increases current; reduce VIN if needed.
Common mistakes and tips
- Using too small an inductor value: fc shifts too high; use ~10 mH with 100 Ω load to keep fc in the audio band.
- High inductor DCR: causes extra attenuation even at low frequency; prefer low-DCR inductors.
- Loose or long leads: add parasitic resistance/inductance; keep wiring short and neat.
- Ground reference errors: ensure both scope channels and generator share the same GND point.
- Overdriving loads: if using a real speaker (low Ω), lower the generator amplitude to avoid overheating the inductor or generator output.
Improvements
- Add a small series resistor (e.g., 1–2 Ω) with L1 to limit current spikes; update fc accordingly.
- Use a power inductor rated well above expected RMS current to minimize saturation and distortion.
- Implement a 2nd-order filter by adding a shunt capacitor across R1 (forming an L–C low-pass) for steeper attenuation.
Validation: The schematic includes +V at the top and GND at the bottom, all components are labeled and fully connected, and measurement dots (●VIN, ●VOUT) are placed on the circuit with abbreviations explained in the Wiring guide.
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