> Beta is the current gain of a transistor, HFE and Hfe. 

Finally something we can agree on.  But the way you used "beta" was
referring to the net gain of a *circuit* using a transistor in
emitter-follower
configuration, which I don't think is the correct use for the term, and
which is why I put "beta" in quotes in my reply.

> An emitter follower will have power gain only if the 
> transistor has a beta, HFE or Hfe, greater than 1, but is 
> active in any case. 

A transistor is capable of gain, thereby making it an active device.  It's
gain (or lack thereof) in a maldesigned circuit doesn't change the fact that
the device, itself, is still capable of power gain.

A dead transistor with an hFE of < 1, in my opinion, makes it no longer a
transistor.  If we're going to consider broken or burned-out components in
our discussions, we're never going to get anywhere...

> Yes diodes and transistor have junction capacitance, 
> resistance, but get their properties from entirely different 
> means than passive devices such as a resistor. Junction 
> capacitance is a function of energy supplied to the device. A 
> capacitor does not change its properties based on energy 
> supplied, unless one exceeds its specs. A diode does.
> A transistor and diode change their properties based on the 
> energy supplied. This makes both active.

Under your definition, if there is a change in one of its properties of a
device when energy is supplied to it, the device is active, do I understand
that right?  A diode's capacitance changes with applied voltage, OK, I
concur.  The voltage across a resistor changes with current through it.  An
inductor's reactance changes with frequency.  The resistance in a length of
copper wire changes with temperature.  So I guess all of these are active
devices?





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