Speaker Impedance Explained
Speaker impedance is one of the most important specifications when connecting a loudspeaker to an amplifier. Learn what impedance means, why it changes with frequency, how it differs from resistance and how multiple speakers affect the load seen by an amplifier.
What Is Speaker Impedance?
Speaker impedance is the opposition that a loudspeaker presents to an alternating audio signal. It is measured in ohms (ฮฉ).
Unlike an ordinary resistor, a loudspeaker does not have one fixed impedance at every frequency. The voice coil has resistance and inductance, while the mechanical resonance of the speaker also affects the electrical impedance.
This means that an 8 ฮฉ speaker is not necessarily exactly 8 ฮฉ at every frequency.
Resistance vs Impedance
Resistance describes opposition to electrical current in a resistive component. Impedance is the more general concept used for AC circuits.
Impedance can contain both resistance and reactance.
Z = R + jX
where:
- Z = impedance
- R = resistance
- X = reactance
A loudspeaker contains a voice coil, which behaves partly like an inductor. The speaker's mechanical system also produces a resonant effect.
Nominal Speaker Impedance
Speaker manufacturers commonly specify a nominal impedance such as:
- 2 ฮฉ
- 4 ฮฉ
- 6 ฮฉ
- 8 ฮฉ
- 16 ฮฉ
The nominal value is useful for selecting a compatible amplifier, but it should not be interpreted as the exact impedance of the speaker at every frequency.
For example, a speaker marked 8 ฮฉ may have an impedance curve that rises substantially above 8 ฮฉ around its resonance and may also vary throughout the rest of the audio band.
Why an 8 ฮฉ Speaker Does Not Measure 8 ฮฉ
If you connect a multimeter to an 8 ฮฉ speaker and measure its resistance, you may obtain a value considerably below 8 ฮฉ.
This is normal.
A multimeter normally measures DC resistance, not the speaker's frequency-dependent AC impedance.
The DC resistance of the voice coil is usually lower than the nominal speaker impedance.
Nominal impedance โ DC resistance
How a Speaker's Impedance Changes With Frequency
A typical dynamic loudspeaker has an impedance curve that changes with frequency.
A simplified example looks like:
Impedance
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โ / \
โ / \________
โ___________/ \
โ \
โโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโ
Frequency
The large peak at low frequency is associated with the driver's mechanical resonance.
At higher frequencies, voice-coil inductance can cause impedance to rise.
The exact curve is different for every driver.
Speaker Resonance and Impedance
A dynamic speaker has a mechanical resonance caused by the interaction of its moving mass and suspension.
At the free-air resonance frequency, commonly represented by Fs, the impedance of the driver normally rises significantly.
Impedance peak
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โ
โ
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_____________/ \________
Fs
The exact shape and height of the peak depend on the driver's mechanical and electrical characteristics.
Voice-Coil Inductance
The voice coil is a coil of wire and therefore has inductance.
Inductive reactance is given by:
XL = 2ฯfL
As frequency increases, the inductive reactance increases.
This contributes to the rise in speaker impedance at higher frequencies.
Speaker Impedance and Amplifier Current
For a simplified resistive load:
I = V / R
This means that, for the same amplifier output voltage, a lower impedance requires more current.
For example, if an amplifier produces 20 V RMS:
8 ฮฉ: I = 20 / 8 I = 2.5 A RMS 4 ฮฉ: I = 20 / 4 I = 5 A RMS
The 4 ฮฉ load requires twice the current of the 8 ฮฉ load at the same output voltage.
Speaker Impedance and Amplifier Power
For a simplified resistive load:
P = Vยฒ / R
If the amplifier can maintain the same output voltage:
8 ฮฉ at 20 V RMS: P = 20ยฒ / 8 P = 50 W 4 ฮฉ at 20 V RMS: P = 20ยฒ / 4 P = 100 W
However, a real amplifier may not be capable of maintaining the same voltage into a lower impedance because its output current, power supply and thermal limits may be reached.
Why Low Impedance Is Harder for an Amplifier
When speaker impedance decreases, the amplifier must generally supply more current.
Higher impedance
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โผ
Lower current requirement
Lower impedance
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โผ
Higher current requirement
This places additional demands on:
- Output transistors or MOSFETs
- Power supply
- Transformer
- Rectifier
- Filter capacitors
- PCB tracks
- Speaker wiring
- Heat sink
Amplifier Minimum Load Impedance
An amplifier may specify a minimum speaker impedance, for example:
- Minimum 8 ฮฉ
- Minimum 4 ฮฉ
- Minimum 2 ฮฉ
This specification should be respected.
Connecting a load below the amplifier's rated minimum impedance can cause excessive current, overheating, protection activation, distortion or component failure.
Two Speakers in Parallel
When two speakers are connected in parallel, the total impedance is:
Ztotal = (Z1 ร Z2) / (Z1 + Z2)
For two identical 8 ฮฉ speakers:
Ztotal = (8 ร 8) / (8 + 8) Ztotal = 4 ฮฉ
โโโ 8 ฮฉ โโโ
Amplifier โโโโค โโโ
โโโ 8 ฮฉ โโโ
Therefore, two 8 ฮฉ speakers in parallel present approximately a 4 ฮฉ nominal load.
Two Speakers in Series
For speakers connected in series:
Ztotal = Z1 + Z2
Two 8 ฮฉ speakers connected in series produce:
Ztotal = 8 + 8 Ztotal = 16 ฮฉ
Amplifier
โ
โผ
โโโโโโโ
โ 8 ฮฉ โ
โโโโฌโโโ
โ
โโโโดโโโ
โ 8 ฮฉ โ
โโโโฌโโโ
โ
GND
Four 8 ฮฉ Speakers
Four identical 8 ฮฉ speakers can produce very different loads depending on how they are connected.
| Configuration | Total Nominal Impedance |
|---|---|
| Four in series | 32 ฮฉ |
| Four in parallel | 2 ฮฉ |
| Series-parallel | 8 ฮฉ |
The series-parallel arrangement is often useful when four identical drivers need to present approximately the same nominal impedance as a single driver.
Series-Parallel Connection
Two pairs of 8 ฮฉ speakers can first be connected in series.
8 ฮฉ + 8 ฮฉ = 16 ฮฉ
The two 16 ฮฉ branches can then be connected in parallel:
16 ฮฉ || 16 ฮฉ = 8 ฮฉ
Therefore, four 8 ฮฉ speakers can be arranged to produce an approximately 8 ฮฉ nominal load.
Speaker Impedance and Stereo Amplifiers
Each channel of a stereo amplifier normally has its own load.
โโโ Speaker
Left โโโโโโค
Amplifier โ
โโโ Speaker
โโโ Speaker
Right โโโโโค
Amplifier โ
โโโ Speaker
The minimum impedance specification normally applies to each channel individually.
If several speakers are connected to one channel, their combined impedance must be considered.
Speaker Impedance and Crossover Design
Speaker impedance is extremely important when designing a passive crossover.
For a simple first-order high-pass filter using a series capacitor:
C = 1 / (2ฯfR)
For a simple first-order low-pass filter using a series inductor:
L = R / (2ฯf)
If a crossover is designed for an 8 ฮฉ driver but a 4 ฮฉ driver is substituted without changing the components, the crossover frequency will not remain the same.
Example: 8 ฮฉ vs 4 ฮฉ Tweeter
Suppose a first-order tweeter high-pass crossover is designed around a 4 kHz crossover frequency.
For an 8 ฮฉ driver:
C = 1 / (2ฯ ร 4000 ร 8) C โ 4.97 ยตF
For a 4 ฮฉ driver:
C = 1 / (2ฯ ร 4000 ร 4) C โ 9.95 ยตF
This demonstrates why the driver's impedance must be considered when selecting crossover components.
Nominal Impedance Is Not Enough for Accurate Crossovers
The simple crossover formulas assume a resistive load.
A real speaker has a frequency-dependent impedance curve.
Therefore, an accurate passive crossover design should consider the actual impedance of the driver over the frequency range being filtered.
This is especially important for higher-order crossover networks.
How to Measure Speaker Impedance
A multimeter can measure the DC resistance of the voice coil, but it does not provide the complete impedance curve.
To measure impedance over frequency, an impedance analyzer or suitable measurement system can be used.
A typical measurement system sweeps the speaker with a known signal and measures voltage and current.
Signal source
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Known resistor
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Speaker
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Measurement system
The resulting data can be plotted as impedance versus frequency.
Impedance Curve
A typical dynamic woofer may show:
- Low-frequency impedance rise around resonance.
- A lower impedance region above resonance.
- An increasing impedance at higher frequencies because of voice-coil inductance.
Z โ โ Resonance โ /\ โ / \ โ_______________/ \________ โ \ โ \ โ \ โโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโ f
The exact shape depends on the driver.
Minimum Impedance
A speaker's nominal impedance does not necessarily represent its lowest impedance.
For amplifier compatibility, the minimum impedance can be more important than the nominal value.
For example, a speaker specified as 8 ฮฉ nominal may have a minimum impedance below 8 ฮฉ at some frequencies.
When designing or selecting an amplifier, the actual impedance curve should be considered whenever possible.
Speaker Impedance and DC Resistance
| Measurement | Meaning |
|---|---|
| DC resistance | Resistance measured at approximately 0 Hz |
| Impedance | AC opposition that varies with frequency |
| Nominal impedance | Rated value used to characterize the speaker load |
| Minimum impedance | Lowest impedance reached within the relevant frequency range |
Why Speaker Impedance Changes With Temperature
The resistance of copper or aluminium voice-coil wire changes with temperature.
As the voice coil heats up, its resistance generally increases.
This changes the electrical behaviour of the speaker and can reduce the amount of power converted into useful acoustic output.
This effect is sometimes called power compression when the acoustic output does not increase proportionally with additional electrical power.
Impedance and Amplifier Protection
Many modern amplifiers include protection systems that monitor current or temperature.
If the load becomes too low, the amplifier may:
- Enter protection mode
- Reduce output
- Shut down temporarily
- Overheat
- Distort
Older or poorly protected amplifiers can instead suffer component damage if operated continuously with an excessively low load.
What Happens When Speakers Are Connected in Parallel?
Parallel connection reduces the total impedance.
Two 8 ฮฉ speakers
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โผ
4 ฮฉ
Three 8 ฮฉ speakers
โ
โผ
2.67 ฮฉ
Four 8 ฮฉ speakers
โ
โผ
2 ฮฉ
As more speakers are connected in parallel, the amplifier must supply more current.
What Happens When Speakers Are Connected in Series?
Series connection increases the total impedance.
Two 8 ฮฉ speakers 8 + 8 = 16 ฮฉ
The amplifier sees a higher impedance and therefore generally delivers less power for the same output voltage capability.
Speaker Impedance and Amplifier Matching
A basic matching procedure is:
- Check the speaker's nominal impedance.
- Check the speaker's minimum impedance if available.
- Check the amplifier's minimum rated load.
- Calculate the combined impedance if multiple speakers are used.
- Make sure the amplifier can supply the required current.
- Consider thermal limitations during prolonged operation.
Example of an Amplifier Load
Suppose an amplifier is rated for a minimum 4 ฮฉ load and two 8 ฮฉ speakers are connected in parallel.
Ztotal = (8 ร 8) / (8 + 8) Ztotal = 4 ฮฉ
The nominal load matches the amplifier's 4 ฮฉ minimum specification.
However, the actual minimum impedance of the speakers should still be considered because real speakers are not purely resistive.
Speaker Impedance and Amplifier Power Ratings
| Load | Typical Effect |
|---|---|
| 16 ฮฉ | Low current demand |
| 8 ฮฉ | Moderate load |
| 4 ฮฉ | Higher current demand |
| 2 ฮฉ | Very high current demand |
These are general electrical relationships. The actual output power depends on the amplifier design and its power supply.
Speaker Impedance and Amplifier Clipping
If an amplifier cannot supply the current required by a low-impedance load, it may reach its voltage or current limits earlier.
This can cause waveform distortion or clipping.
Clipping occurs when the amplifier cannot reproduce the requested output waveform.
Clean:
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/ \
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/ \
/ \
Clipped:
โโโโโโ
/ \
โโโโ โโโโ
Speaker Impedance in Car Audio
Car audio systems commonly use lower nominal speaker impedances than many traditional home audio systems.
Values such as 2 ฮฉ and 4 ฮฉ are common in automotive applications.
The lower impedance allows greater power to be obtained from a given voltage supply, but it requires higher current from the amplifier.
The amplifier must therefore be specifically designed for the intended load.
Speaker Impedance in PA Systems
Professional PA systems may use 4 ฮฉ, 8 ฮฉ or other configurations depending on the amplifier and speaker system.
Large distributed systems may also use transformer-based constant voltage systems such as 70 V or 100 V audio systems.
In such systems, the impedance concept still exists, but the system is normally designed around transformer taps and power ratings rather than simply connecting conventional low-impedance speakers directly to the amplifier.
Speaker Impedance and Loudness
Lower impedance does not automatically mean a speaker is louder.
Loudness depends on several factors, including:
- Speaker sensitivity
- Frequency
- Power delivered
- Enclosure
- Driver efficiency
- Room acoustics
Impedance mainly describes the electrical load presented to the amplifier.
Important Rule for DIY Amplifier Projects
When building or repairing an amplifier, never determine safe speaker operation from impedance alone.
The amplifier's:
- Supply voltage
- Output transistor capability
- Heat sinking
- Power transformer
- Rectifier
- Filter capacitors
- Protection circuitry
- PCB and wiring
must all be capable of handling the intended load.
Key Takeaways
- Speaker impedance is measured in ohms.
- Impedance is different from DC resistance.
- A speaker's impedance varies with frequency.
- The voice coil contributes both resistance and inductive reactance.
- Mechanical resonance produces an impedance peak.
- Lower impedance requires greater amplifier current.
- Two 8 ฮฉ speakers in parallel produce approximately 4 ฮฉ nominal impedance.
- Two 8 ฮฉ speakers in series produce 16 ฮฉ nominal impedance.
- Four 8 ฮฉ speakers can be connected series-parallel to produce an approximately 8 ฮฉ nominal load.
- Speaker impedance is important when designing passive crossovers.
- A multimeter measures DC resistance rather than the complete speaker impedance curve.
- The amplifier's minimum supported load should always be respected.