Bifwynee/Bruce, good reply. Atleast I appreciate that you have taken the time to get a deeper understanding of the amp-speaker electrical interface. It's a complicated affair there - more complicated than meets the eye once one delves into the details. I'm sure that it's made you a better audio consumer & you can better make the trade-offs when you go out next to purchase audio gear. Like the SYMS clothing company once said in their TV ads "an educated consumer is a better consumer".
To Cdc:
before answering your question, let's take a step back & find out what is really meant by a "voltage paradigm". In a voltage paradigm amplifier, the output power doubles each time the speaker impedance halves (let us assume for the sake of simplicity that the power amplifier output has infinite current source/sink capacity. Such an amplifier is not available practically but it makes the discussion easier). The output power doubles because the output current capacity doubles; not because the output voltage capacity doubles.
For example:
300W into 8 Ohms. P=V^/R implies V = 49V approx.
600W into 4 Ohms. P=V^2/R implies V = 49V again!
1200W into 2 Ohms. P=V^2/R implies V = 49V once again!
So, as you can see, as impedance halves, output power doubles, the output voltage remains the same.
OTOH,
300W into 8 Ohms. P=I^2*R implies I = 6.12Amps
600W into 4 Ohms. P=I^2*R implies I = 12.24Amps. Output current doubled...
1200W into 2 Ohms. P=I^2*R implies I=24.49Amps. Output current doubled yet again!
So, output power is doubling as impedance is halving because output current is doubling.
Now that you understand this, a tube amp cannot double its output current as speaker impedance halves because tubes are output voltage devices & have large output impedance. The output transformer makes things much better to drive a speaker load but the ratio of amp output impedance to speaker impedance is quite high making it hard for the tube amp to output large amounts of current into a low speaker impedance.
Solid-state amps have output impedances that are sub-1Ohm (because the output stage of a s.s. amp is almost always the BJT emitter or a MOSFET source of a JFET source, which has very low output impedance & several semiconductor devices are paralleled to make the net output impedance even lower). So, even if the speaker impedance drops 8 --> 4 --> 2 & even 1 Ohms, the s.s. amp output impedance is still an order of magnitude (ie. 10X) lower than the speaker impedance. By the physics of this, a s.s. amp is able to output progressively more output current into a lower speaker impedance *while maintaining its output voltage* (as shown above).
A "power paradigm" amplifier cannot maintain its output voltage constant as speaker impedance varies over the audio band. This is the key difference between the voltage paradigm & power paradigm.
One would have to make a very high output impedance s.s. amp such that this s.s. amp cannot deliver large output current into a lower speaker impedance. As Bruce has pointed out "your questions are counter-intuitive and contradictory" because the very nature of s.s. amplifier design ensures very low output impedance: paralleling output devices decreases output impedance, negative feedback (local or global) reduces output impedance, increase in temperature reduces output impedance, etc. You have to go the extra mile to make the output impedance high in a s.s amp. IOW, s.s. are naturally voltage paradigm amplifiers.
Now I am stating & asking the forum at large: could McIntosh's philosophy of using output auto-formers be one technique to increase the output impedance of a s.s. amp (I believe that McIntosh makes several s.s. amps w/ autoformers, no?) such that these s.s. amps show some/a lot of the characteristics of tube amplifiers?
Another devislish way to make a s.s. amplifier behave in a power paradigm manner would be to use it with a very low impedance speaker such as using a s.s. amp to drive an Apogee Full Range speaker where the midrange is driven directly by the amp & has a speaker impedance of 0.14 Ohms (I did not make a mistake here!!). Now, the s.s. amp will see a speaker load that is in the same ball-park as its own output impedance & current will be limited (just like a tube amplifier seeing a 4-Ohm speaker load when its own output impedance is in the 4 Ohm region). Such an amplifier's life could be very short-lived if not chosen correctly. Devilish, as I wrote! ;-) Also, how many such speakers exist today? Almost zero. so, this scenario is not realistic.
I don't know of any other s.s. manuf that makes their s.s. amps power paradigm but memory & experience could be failing me.....
It would be great to hear from other far more knowledgeable members. Thanks.
To Cdc:
before answering your question, let's take a step back & find out what is really meant by a "voltage paradigm". In a voltage paradigm amplifier, the output power doubles each time the speaker impedance halves (let us assume for the sake of simplicity that the power amplifier output has infinite current source/sink capacity. Such an amplifier is not available practically but it makes the discussion easier). The output power doubles because the output current capacity doubles; not because the output voltage capacity doubles.
For example:
300W into 8 Ohms. P=V^/R implies V = 49V approx.
600W into 4 Ohms. P=V^2/R implies V = 49V again!
1200W into 2 Ohms. P=V^2/R implies V = 49V once again!
So, as you can see, as impedance halves, output power doubles, the output voltage remains the same.
OTOH,
300W into 8 Ohms. P=I^2*R implies I = 6.12Amps
600W into 4 Ohms. P=I^2*R implies I = 12.24Amps. Output current doubled...
1200W into 2 Ohms. P=I^2*R implies I=24.49Amps. Output current doubled yet again!
So, output power is doubling as impedance is halving because output current is doubling.
Now that you understand this, a tube amp cannot double its output current as speaker impedance halves because tubes are output voltage devices & have large output impedance. The output transformer makes things much better to drive a speaker load but the ratio of amp output impedance to speaker impedance is quite high making it hard for the tube amp to output large amounts of current into a low speaker impedance.
Solid-state amps have output impedances that are sub-1Ohm (because the output stage of a s.s. amp is almost always the BJT emitter or a MOSFET source of a JFET source, which has very low output impedance & several semiconductor devices are paralleled to make the net output impedance even lower). So, even if the speaker impedance drops 8 --> 4 --> 2 & even 1 Ohms, the s.s. amp output impedance is still an order of magnitude (ie. 10X) lower than the speaker impedance. By the physics of this, a s.s. amp is able to output progressively more output current into a lower speaker impedance *while maintaining its output voltage* (as shown above).
A "power paradigm" amplifier cannot maintain its output voltage constant as speaker impedance varies over the audio band. This is the key difference between the voltage paradigm & power paradigm.
One would have to make a very high output impedance s.s. amp such that this s.s. amp cannot deliver large output current into a lower speaker impedance. As Bruce has pointed out "your questions are counter-intuitive and contradictory" because the very nature of s.s. amplifier design ensures very low output impedance: paralleling output devices decreases output impedance, negative feedback (local or global) reduces output impedance, increase in temperature reduces output impedance, etc. You have to go the extra mile to make the output impedance high in a s.s amp. IOW, s.s. are naturally voltage paradigm amplifiers.
Now I am stating & asking the forum at large: could McIntosh's philosophy of using output auto-formers be one technique to increase the output impedance of a s.s. amp (I believe that McIntosh makes several s.s. amps w/ autoformers, no?) such that these s.s. amps show some/a lot of the characteristics of tube amplifiers?
Another devislish way to make a s.s. amplifier behave in a power paradigm manner would be to use it with a very low impedance speaker such as using a s.s. amp to drive an Apogee Full Range speaker where the midrange is driven directly by the amp & has a speaker impedance of 0.14 Ohms (I did not make a mistake here!!). Now, the s.s. amp will see a speaker load that is in the same ball-park as its own output impedance & current will be limited (just like a tube amplifier seeing a 4-Ohm speaker load when its own output impedance is in the 4 Ohm region). Such an amplifier's life could be very short-lived if not chosen correctly. Devilish, as I wrote! ;-) Also, how many such speakers exist today? Almost zero. so, this scenario is not realistic.
I don't know of any other s.s. manuf that makes their s.s. amps power paradigm but memory & experience could be failing me.....
It would be great to hear from other far more knowledgeable members. Thanks.