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other tubes that will work good in a WCF besides the 12BH7?
For what purpose? What do you mean "good"?
Any tube will work. Triodes are much easier than pentodes. And opposite to what you think, usually you don't have
enough plate-cathode voltage to get good current since each tube sees half the total supply voltage, and heater insulation often limits working voltage.
We use WCFs for two reasons: power and impedance.
For POWER, you must face the basic matching rule. Plate resistance slightly lower than load impedance. With a single triode, Rl=2Rp is a good point for power, higher is good for power with low distortion. The WCF reduces the distortion problem, and you have two tubes, so Rl can be taken as equal to one plate resistance. To drive 600Ω to high power, you want Rp around 600Ω.
You also want low losses in drive and bias, and this gets into the other reason we like the WCF. It is a feedback amplifier, but only if it has gain. So you need a decent Mu. But this conflicts with getting low Rp at reasonable heater power. In tubes, heater power determines cathode size which determines Gm and maximum current. Rp is Mu times higher than 1/Gm.
So for low output impedance, at a given cathode size (heater power), Mu is not very important. But for maximum power, Mu should be low. Probably 5-10 would be good, but the available tube types are very limited so we take what we can find.
Note that with the 250V-300V supplies needed for the voltage-amp stages, we actually DON'T need "good power output". A perfect WCF with 300V supply would deliver over 100V RMS, which is +42dBm or over 10 Watts or about 5 times higher than you need to blow-out most line inputs. We can often be happy with 1/5th or 1/10th of that much. This leads to a very low-efficiency design, but in many cases this is acceptable.
If you have 300V B+, 150V on each tube, and want 15V peak output, you could use a tube with diode-line (grid voltage = zero) plate impedance 9 times higher than load impedance. So Rp can be 5K for a 600Ω load. Which is about what we do when we use the 6SN7-class or TV-tuner tubes.
A few years ago I posted an
essay at HeadWize comparing a number of tubes for driving low-Z loads. For several reasons I'll re-post it here:
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> i wanted to be able to drive low impedance headphones relitively easily, without resorting to output transformers or feedback.
Having worked on a similar problem for some years now, I do not believe this is possible with any sane plan.
The root problem is that a vacuum tube's conductance is related to its heater power and its Mu. High-Mu is worse, super-low-Mu gives little advantage and causes drive difficulty. Mu of 3 to 10 is best for direct drive of low-Z loads without transformers.
In a triode, the large signal conductance is roughly equal to the inverse of its plate resistance. We will probably pick a bias point at very high current and fairly low plate voltage.
Therefore the product of conductance and heater power is the factor of interest. And it has always been important: we always want less heater power to reduce cost and heat, we almost always want higher conductance. 70 years of research brought about some improvement, but there seems to be a basic limit we are fighting. Electrons really don't like to cross vacuum.
Here is a table for available tubes in various sizes and vintages, assuming no grid current. The last column of numbers is a figure of merit, where lower is better.
6AC7(half) ____ 300 ohms __ 8 watts === 2,400 (6080 same;hard to drive)
6h30(half) __ 1,100 ohms __ 3 watts === 3,300
6DJ8(half) __ 3,800 ohms __ 1 watts === 3,800 (ECC88 similar)
6c33c _________ 120 ohms __ 38 watts == 4,500
2A3 ___________ 800 ohms __ 6 watts === 4,800
6SN7(half) __ 7,000 ohms __ 1 watt ==== 7,000 (12AU7, ECC82 similar)
300B ________ 1,250 ohms __ 6 watts === 7,500
8417(triode)_ 1,000 ohms __ 10 watts = 10,000
6L6(triode) _ 2,000 ohms __ 6 watts == 12,000
ECC81(half)_ 14,000 ohms __ 1 watt === 14,000 (12AT7; easy to drive)
That's for large signals. A vacuum tube with 1 watt of heater power conducts like a 2,500 to 5,000+ ohm resistor, at best. To get a lower large-signal impedance, we need bigger/more tubes eating more heater power. To drive 32 ohms "well", we want conductance more like a 32 ohm resistor, which means about 100 watts of heater power!
This is clearly over-kill for a 0.1 watt signal. We could use less heater power, let the plate power be wasted, and manage 0.1 watts with say 30 watts heater and plate power. But the output resistance is high.
The real answer is a transformer. Solves "about" as many problems as it causes. But there are reasons to reject it.
Small-signal output impedance does not have to be the same as the large signal impedance. In a plate-loaded stage, it is (approximately). Plate-loaded also gives voltage gain, but not for very-small load impedances. Feedback IS the answer. (Heavy damping resistors can also lower effective output impedance, but waste huge amounts of precious signal power and usually increase distortion.) The simplest feedback, one that is tolerated by some feedback-phobic fanatics, is the Cathode Follower in various disguises. Generally, output impedance is Mu times lower, where Mu is Amplification factor.
Another chart, this time dividing by Mu to estimate the small-signal output impedance with feedback (local feedback as cathode follower or overall feedback; makes little difference):
6DJ8(half) __ 3,800 __ 32 ==== 120
6h30(half) __ 3,300 __ 15 ==== 220
ECC81(half)_ 14,000 __ 60 ==== 233
6SN7(half) __ 7,000 __ 20 ==== 350
8417(triode) 10,000 __ 17 ==== 600
6c33c _______ 4,500 ___ 6 ==== 750
6AC7(half) __ 2,400 ___ 3 ==== 800
2A3 _________ 4,800 ___ 5 ==== 960
6L6(triode) 12,000 __ 10 === 1200
300B ________ 7,500 ___ 4 === 1800
The higher-Mu tubes are crummy for power, but better for output impedance.
To "match" 32 ohms with 6DJ8 (if you can actually own a true 6DJ8 today) needs about 4 sections of 6DJ8 per ear, 4 watts of heater power. ECC81/12AT7 (or even the vaulted 6h30) needs twice as much, 8 watts heat per ear. Oddly the mighty 6AC7/6080 does pretty poorly: 24 watts per ear (3 sections per ear, 3 bottles for stereo!) to "match" 32 ohms.
There is a significant difference in "damping" between "matched" and "low-Z" drive. Many of the phones I have tested show a bump at 100Hz that can be quite large unless the source impedance is much lower than the phone impedance. That suggests about three times as much heater power (and bottles) to get the damping down. Say what you like, feedback is a useful and often necessary technique, because excess gain is much cheaper than raw impedance.
> I tossed up between a white cathode follower and a mu-follower for some time, but after reading some articles on the shortcomings of white cathode followers, decided to stick with an mu-follower.
The difference is:
* For large signals, very little. Either topology has the same limits, and for very-low-Z loads they have to be carefully tuned to come close to those limits.
* For small signals: the mu-follower has some gain, the cathode followers (in several forms) trade gain for low impedance. If you took overall feedback, they come out the same. With only local feedback, some version of the cathode follower is clearly best for impedance, and you can make-up gain in some earlier low-power stage. And of the cathode followers, the White is about the best of the bunch, if you can accept two tubes. For a topology that isn't really push-pull, it comes very close to push-pull performance: half the output impedance, nearly twice the output power.
> i had requiraments for the types of valves i would use in the amp- i did not want to resort to anything rare or overly expensive, hence i wanted a stage with a ECC81, 82 or 83.
12AT7/ECC81 is very bad for power, quite good for impedance, and dirt cheap.
6SN7/12AU7/ECC82 is medium on power and impedance, but very easy to get.
6DJ8, ECC88, and the other top-notch TV tuner tubes, are pretty good for power and best for impedance. As good as or better than some big and exotic tubes! But they are "small": you want several bottles to do well into 32 ohms. The thing to do is look for any of the better TV tuner tubes, like 6BQ7, 6BK7, from overstocked warehouses. And understand the games that were played in this market: there were maybe only 6 basic tuner tubes (best, good, and not-so-good; sharp-cutoff and remote-cutoff) but every tube maker and every TV set maker had their own number to try to monopolize the re-tube market. Also, there are bargains in the odd voltage versions like 4 volt heater models.
Since these tubes are usually non-linear (deliberately so for the remote-cutoff variants), a push-pull or quasi-push-pull is going to be lower distortion than a single-ended plan like Waarde's.
Three to six parallel ECC88 or 12AT7, per side, per channel (yes, 12 to 24 tubes!) will give 32 to 16 ohm source impedance at unity gain (White Follower, or Mu-stage with overall feedback). If you use fewer tubes, output impedance for 32-ohm load is so high that the driver is hardly damped at all. In that case, fewer tubes won't harm damping, only power. Then you want to go to my first chart and just get best conductance/heat factor, with 6080 or a couple ECC88s.