Practical case: Inductor in low-pass filter for audio

Esquemático — Practical case: Inductor in low-pass filter for audio

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────│         │
            │         │                      │         │              │         │
            │         │                      │         │              │         │
            └─────────┘                      └─────────┘              └─────────┘
                 │                                 │                      │
                 │                                 │                      │
─────────────────┴─────────────────────────────────┴──────────────────────┴──────
                                                                           GND
Schematic (ASCII)

Measurements 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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Quick Quiz

Question 1: What is the value of the resistor used in the circuit?




Question 2: What type of signal does the audio signal generator produce?




Question 3: What is the inductance value of L1?




Question 4: What is the purpose of the R1 resistor in the circuit?




Question 5: What is the maximum current rating for the inductor L1?




Question 6: Which device is used to visualize the input and output signals?




Question 7: How many jumper wires are required for the setup?




Question 8: What is the output node referred to in the circuit?




Question 9: What is the frequency range of the audio signal generator?




Question 10: Where should the CH1 probe of the oscilloscope be connected?




Carlos Núñez Zorrilla
Carlos Núñez Zorrilla
Electronics & Computer Engineer

Telecommunications Electronics Engineer and Computer Engineer (official degrees in Spain).

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