Why are low impedance speakers harder to drive than high impedance speakers


I don't understand the electrical reason for this. I look at it from a mechanical point of view. If I have a spring that is of less resistance, and push it with my hand, it takes little effort, and I am not working hard to push it. When I have a stiffer spring (higher resistance)  I have to work harder to push it. This is inversely proportional when we are looking at amplifier/speaker values.

So, when I look at a speaker with an 8 ohm rating, it is easier to drive than a speaker with a 4 ohm load. This does not make sense to me, although I know it to be true. I have yet been able to have it explained to me that makes it clear.  Can someone explain this to me in a manner that does not require an EE degree?

Thanks

128x128crazyeddy
Because of these properties of amplifier and speaker systems:

  1. Amplifiers have a non-zero output impedance
  2. Voltage is proportional to impedance in a series circuit.
  3. Speakers usually present complex impedance, with a range of impedance magnitude and voltage / current phase angles

Let’s simplify this to a couple of statement:

Amplifiers are current limited. This limit defines the maximum voltage at any given impedance.

As the amplifier output impedance rises, or speaker impedance drops, the electrical frequency response at the speaker inputs goes from flat to tracking the speaker impedance.

Want to understand why? Read on.

As an introduction, see the first graph on my blog post on speaker impedance for a very easy to drive speaker:

https://speakermakersjourney.blogspot.com/2016/12/crossover-basics-impedance.html

We’ll ignore phase angle, as it’s hardest to grasp. Let’s assume instead:

  • Tube amp output with about 1 Ohm impedance,
  • An ESL such as a Martin Logan electrostatic, which has a panel impedance that varies from 4 Ohms at the bottom of it’s range to 0.3 Ohms at the top end.

At low frequency, say 300 Hz where the panel is 4 Ohms, the voltage at the panel is

4/(4 + 1) = 4/5ths = 80%

of the amplifier output.

At high frequencies, say 10kHz 0.3 Ohms the voltage stays at the amp, and the speaker gets

0.3 / (0.3+1) = 0.3 / 1.3 = 23%

of the amplifier output, or about 25% of the amp output!

But look what happens with an amplifier with very low impedance of 0.001 Ohms (aka high Damping Factor):

At 4 Ohms:

4/(4 + 0.001) = 4/4.001 = 99.97%

At 1/3 Ohms:

0.3 / ( 0.3 + 0.001) = 99.67%

So in the range of speaker impedance from 4 to 0.3 Ohms, the amplifier output remains nearly rock-solid.

Actually ports in ported speakers are perfect examples of why low impedance is harder to drive.     Impedance at port frequencies is always low.  Check any ported speaker impedance curve and see.   After all the port itself has little or no physical resistance/impedance.   Air blows right through largely "unimpeded".    An amp driving the ported speakers well will result in a stronger air flow. One that cannot drive it well will result in little or no air flow meaning the port is not being utilized well to move air at the lower frequencies that it is intended to enable. 
@mapman

Ahem, please see the example I posted, above. :)

The drop at resonance is no lower than Re. :)

I'm sure @Atmashpere will chime in, but depending on the amp, it's really the difference between the peaks and Re that makes a tube amp misbehave, as the high impedance will track this. If Re is high enough, it will be minor.

Best,

Erik

While a 16 ohm speaker may seem to "present an enormously easy load for virtually any power amplifier", such is not necessarily the case, as that 16 ohm rating is merely nominal. For instance, the original Quad ESL's nominal impedance was 16 ohms, but it’s impedance rose to 60 ohms at low frequencies, and fell to 1.8 ohms at high frequencies---anything but an easy load! That impedance characteristic is one reason the sound of the Quad ESL is so affected by the amp driving it, and why almost no solid state amp is a good match---it makes for overblown bass and missing highs. Ralph Karsten of Atma-Sphere has already explained this a few times.

Related to my post above, using the lowest impedance tap on a tube power amp not only usually results in the lowest distortion and best sound the amp is capable of, but the amp’s damping factor is also highest, leading to the flattest frequency response it is capable of, irrespective of speaker impedance characteristics.

Also remember the complexity of the Crossover is directly proportional 
To ohms,resistance to the drivers and demand affecting  the Amplifiers 
Constant changing ohms ,and Amplifier Load depending on demand. 
A speaker can  go from a 8ohm load to 2 ohms which Is very demanding 
For a conventional driver Loudspeaker. Panel or stats ,can dip down to 1ohm .
This  is where a Amplifier be rock solid .verify that the  amplifier you are using 
Can handle the extreme for a given Loudspeaker before purchasing it.