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Hoffman Amps Forum image Author Topic: EF86 GAIN FACTOR  (Read 4386 times)

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Offline Jonas

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EF86 GAIN FACTOR
« on: March 05, 2023, 12:56:49 pm »
I'm doing some Sunday snooping around tube data spec sheets and pulled up the EF86. I was surprised to see the amplification factor was only 38. I thought the EF86 was supposed to have higher gain compared to the 12AX7 (amplification factor = 100).  What am I missing?

Offline PRR

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Re: EF86 GAIN FACTOR
« Reply #1 on: March 05, 2023, 01:16:58 pm »
> amplification factor was only 38

As a Triode, right?

Pentode 'amplification factor' is so high, and so not real world, that they don't cite it anymore, not since the very first ones.

Offline PRR

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Re: EF86 GAIN FACTOR
« Reply #2 on: March 05, 2023, 01:19:56 pm »
Might have been good to say what datasheet you snooped.
Philips 1970: https://frank.pocnet.net/sheets/010/e/EF86.pdf
Mu(g2G1) means "with G2 in control", which is triode connection.

Offline Jonas

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Re: EF86 GAIN FACTOR
« Reply #3 on: March 05, 2023, 01:30:10 pm »
Yes, I see that now - I was indeed looking at the Philips data, specifically the quick reference data at the top.

Thanks!!!


Offline kagliostro

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Re: EF86 GAIN FACTOR
« Reply #4 on: March 05, 2023, 04:11:40 pm »
Ciao PRR

Quote
.... they don't cite it anymore, not since the very first ones

Have you a link to one of those very old datascheet ?

Thanks

Franco
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Offline PRR

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Re: EF86 GAIN FACTOR
« Reply #5 on: March 05, 2023, 08:57:11 pm »
> Have you a link to one

Offline kagliostro

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Re: EF86 GAIN FACTOR
« Reply #6 on: March 06, 2023, 12:39:23 am »
Cool PRR

amplification factor from 360 till 1050   :grin:

Many Thanks

Franco
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Offline Leevi

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Re: EF86 GAIN FACTOR
« Reply #7 on: March 06, 2023, 01:06:55 am »
I'm doing some Sunday snooping around tube data spec sheets and pulled up the EF86. I was surprised to see the amplification factor was only 38. I thought the EF86 was supposed to have higher gain compared to the 12AX7 (amplification factor = 100).  What am I missing?


According to wiki it is 185. If that is the truth, is hard to know?


https://en.m.wikipedia.org/wiki/EF86


/Leevi
« Last Edit: March 06, 2023, 01:10:43 am by Leevi »

Offline HotBluePlates

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Re: EF86 GAIN FACTOR
« Reply #8 on: March 06, 2023, 06:26:14 am »
... the EF86. ... the amplification factor was only 38. ...

According to wiki it is 185. ...

https://en.m.wikipedia.org/wiki/EF86

This is a perfect example of why Wikipedia is not allowed to be used as a reference in academic work.  After all, you could go change that right now to " Amplification Factor   1,004,578,985" if you wanted.

The "gain of 185" for the cited condition comes from the 4th column of the top section on Page 3 of this EF86 data sheet.  And it is "gain" because it is "volts out / volts in."

This same data sheet provides (triode connected) Amplification Factor as 38, because that value is fixed by the relative spacing of the cathode, grid and screen.



Notice that all "Voltage gain" figures on the 3 triode-connected sections on Page 3 show values well below 38.  That's because in-circuit gain is always smaller than "Amplification Factor" or "Mu".  The plate load resistor (RL) and the tube's internal plate resistance (ra) form a voltage divider such that we only exhibit a gain close to Mu when the external plate load is near-∞Ω:

     Av = (Mu x RL) / (RL + ra)


The reason I point this out is triode curves are a diagonal line moving upward, while pentode curves are a near-horizontal line.  For large changes of plate voltage the EF86's plate current barely changes which indicates a high internal plate resistance.  Page 7 of this EF86 data sheet shows a 2.5v gridline where plate current is 2mA at 100v plate, and increases to only a bit over 2.1mA at 400v:

     Resistance = Volts / Current = (400v - 100v) / (2.1mA - 2mA) = 300v / 0.0001A = 3MΩ


Now, try plugging in the Wikipedia Condition's "Amplification Factor" of 185, RL of 220kΩ and the example ra of 3MΩ:

     Gain = (mu x RL) / (RL + ra)
     Gain = (185 x 220kΩ) / (220kΩ + 3MΩ) = 40.7M / 3.22M = 12.6 ---> less than a 12AU7

The math doesn't work anymore, because the internal plate resistance is so high.  So if we go backwards and estimate "Mu" from the observed gain of "185" what do we get?

     Gain = (mu x RL) / (RL + ra)
     185 = (Mu x 220kΩ) / (220kΩ + 3MΩ)
     185 x (220kΩ + 3MΩ) = Mu x 220kΩ
     Mu = [185 x (220kΩ + 3MΩ)] / 220kΩ
     Mu = 2707 (!)

But where Mu is nearly constant in triodes, the implied Mu changes with every condition in pentodes, which is why it is never cited, and why we use a different formula to estimate pentode gain (Gm x RL).

Offline DummyLoad

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Re: EF86 GAIN FACTOR
« Reply #9 on: March 06, 2023, 05:23:26 pm »
> amplification factor was only 38

As a Triode, right?

Pentode 'amplification factor' is so high, and so not real world, that they don't cite it anymore, not since the very first ones.


Mu is 33 in triode mode, so unlikely Mu is 38 wired as grounded cathode amp strapped as a triode.


--Pete

Offline HotBluePlates

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Re: EF86 GAIN FACTOR
« Reply #10 on: March 06, 2023, 07:04:10 pm »
Mu is 33 in triode mode, so unlikely Mu is 38 wired as ...

It is curious that the GEC and Mazda data sheets mention "33" and have both figures (38 and 33).  Meanwhile, no Mullard, Philips or Telefunken data sheets have that "33" figure.

 


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