Biasing output transistors with constant base CURRENT

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So we all know that you can't bias your output transistors with a constant voltage because as they heat up the Vbe drops and the transistors turn on harder and pull more current. Not stable with temperature changes. What though if we apply a small but constant CURRENT to the bases of the output devices? Changes in Vbe with temperature would then have no effect. Does the current gain vary much with temperature though? Maybe that's not the right word – we are not dealing with changes in collector current vs changes in base current – just a fixed base current vs changes in die temperature. Any opinions?
 
Does the current gain vary much with temperature though?
Yes. That's normally shown on the datasheet. e.g. See the pic below. Current bias of the output stage is still workable though. For example the 1969 JLH class A amp uses it.
 

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