Claude,
Ratch
I agree with the above paragraph except Vbe being a consequence of current. I think it is the other way around. Yes, Ic and Vbe are reciprocals of each other, but as I related to Brownout, no one tries to use Ic to control Vbe. They have a tight relationship to each other, but I consider Vbe controlling Ic, not the other way around.So the one point Ratchit will not concede is that the Shockley diode equation as follows is fully reciprocating:
Id = Is*exp((Vd/Vt)-1) & Vd = Vt*ln((Id/Is)+1).
Does the Vd "control" the Id, or vice-versa? It has been correctly stated by almost everyone here that it is a reciprocating, or circular relation. This is so easily verifiable, please refer to the attached SMPS schematic for illustration.
It is a buck converter, where U1 is the control IC. U1 provides the PWM gate drive pulse to switch MOSFET Q1 on/off. When switched on energy builds up in the inductor L1, & this current in the inductor provides output to the load, not shown. The node labeled "+10V" is the output.
While the FET Q1 is ON, the input power supply, "V_IGN" is across diode D1. D1 is reverse biased so that it conducts only reverse leakage current. Here, the V_IGN input is a constant voltage source, CVS, connected across D1 in reverse. The diode current Id, in this case, is determined by diode voltage Vd. So we have
Id = Is*exp((Vd/Vt)-1). As temp varies so will Id, but it is Vd & temp that determine Id.
But the FET Q1 is then turned OFF by U1. The free wheeling inductor current continues through diode D1. In this scenario, the current, Id, is the inductor current at the moment the FET Q1 turned off. An inductor is a current source. L1 will output any & whatever voltage needed to maintain its present value of current. What is the current, Id in D1? It is the current in L1.
Now, what is the voltage, Vd, across D1. To find Vd, we must compute per:
Vd = Vt*ln((Id/Is)+1).
So Vd is determined by Id & temp. Any person experienced w/ SMPS, motors & their drives, induction heating, power generation, antenna, waveguides, transmission lines, etc. is all too familiar with what I've just stated. What I just said is a day at the office for a skilled seasoned EE practitioner. Id is the driving function, & Vd is a consequence, at least during the time L1 de-energizes.
So which is the dog & the tail can be either. It is a fully reciprocating relation. Another example is a simple op amp. The 1st stage is an emitter coupled differential stage. It's output is a current source, as the output current is sourced/sinked by the collector of a bjt in the diff pair. This 1st stage output feeds the 2nd stage input, colloquially named "voltage amplification stage", when it is actually a transimpedance stage (current in - voltage out).
The input stimulus for the npn bjt in the 2nd stage, common emitter topology, is the constant current source outputted by the 1st stage bjt collector. The said current feeds the base terminal of the 2nd stage bjt common emitter. In this case, the base current Ib is the forcing or driving function. When the signal at the 1st stage input increases, due to singing Sue, the 1st stage collector outputs increased current. This results in increased base current to the 2nd stage bjt. The 2nd stage bjt b-e voltage, Vbe, is determined by its Ib value.
So for the 2nd stage bjt, Ic is determined exactly by Ib, per Ic = beta*Ib. Then Vbe is determined by the same junction relation for the SMPS diode above, i.e. proportional to the log of current. Vbe = Vt*ln((beta+1)*Ib)/Ies)+1), or Vbe = Vt*ln((Ie/Ies)+1).
The only issue with this op amp topology is that the open loop gain is beta dependent. At high temp, the beta is greater than at low temp. Also, beta varies from one device to the next. So, the open loop op amp gain is not a precise predictable constant, but variable. But op amps are not run open loop, except in low speed comparator applications, so the gain variation is mitigated through the use of feedback.
Again, Ib, Vbe, & Ie have a circular or reciprocal relation. We can easily, & often do, set Ib or Ie to a specific value, then Vbe becomes a consequence. In the forward direction, a p-n junction is always current driven, because voltage driven forward p-n junctions can easily go into thermal runaway.
In the reverse direction, e.g. the free wheeling diode D1 above, a p-n junction can be voltage driven. But a bjt b-e jcn operates from 0 to around 0.7V Vbe, & negative values are seldom emplyed. So b-e jcns must be current driven. Vbe is a consequence of current, either Ib or Ie.
I disagree about Vbe not being the controlling factor.What I just presented has been common knowledge for a very long time. No revelations here, just going back to basics. A small few people claim that the whole semicon OEM community, the unis, EE practitioners, etc. just don't get it , & that Ib/Ie are mere consequences of Vbe which is the "engine". But the laws of science, evident in common tried & true netorks Like SMPS & op amps, completely refute the notion that "Vbe is the engine, Ib/Ie are just consequences". Ib/Vbe/Ie are mutually inclusive trio. But only 1 can be the quantity directly controlled. The other 2 are indirect. All bjt networks use either Ie, or Ib as the direct quantity, with the other 2 indirect, or incidental. Vbe is never "the engine". The only way Vbe could be the direct control quantity is to connect a very low impedance CVS across b-e jcn. There, the Vbe value literally controls Ib/Ie/Ic. But if you attempt to operate at significant levels of power, your bjt will become a pile of ashes.
Ratch