To the Ineffable All,
I have been reading this thread for a couple of days now, and I think the top of my head is going to blow off.
I won't be able to comment on everything, so I will just get the highlights.
MrAl,
We have a 2N22222A transistor and 1k collector resistor (Rc) and a base emitter voltage (Vbe) of 0.65 volts. This is powered by a 10v supply source Vs. What is the collector current Ic ?
You have to find the saturation current Is, and it is not in the data sheets. However, you can apply a voltage at the base terminal, say 0.2 volts, and read the current of the collector. Then apply the formula iC = Is*exp(VBE/VT) and get a value for Is.
What Eric did was he found spec's on the data sheet that specify the collector current with Vbe.
No he didn't. He found the point on the β vs Ic curve that matched the product of β and the Ib he calculated. There is no Vbe vs Ic anywhere on the data sheets.
Jony130,
Interesting question arise. For example if we use a Shockley equation (Ic=Is*(e^(Vbe/VT)-1)) to find ( determined) the collector current for a constant Vbe = 0.65V the collector current should also be constant? Or maybe I missing something in Shockley equation?
No, you are correct. The trick is to keep Vbe constant and compensate for temperature changes.
OK so for RB = 518KΩ and Vbe = 0.65V and I assume Is = 10x10^-15 and VT = 26mV and β = 50.
Is can vary between 10^-15 to 10^-12 amps. That is a 1 to 1000 range. How can you assume an Is unless you measure it like I outlined above?
MrAl,
Also, that formula was in the post that Ratchit linked to in the other thread and he and the original poster seem to think it's the greatest formula.
I assume you are referring to Shockley's formula. It is a good one.
Jony130,
No Vbe is not a constant. The Vbe varies with Ib current.
And also with Ic.
MrAl,
It's unfortunate that Ratchit is not here to reply because he has always shown himself to be a strong advocate of the voltage control method.
I have returned, and will expound on the method later.
Jony130,
We have a two equation that we can use to determine the Ic. First equations is
Ic = Hfe *Ib and the second one is Ic = Is*(e^(Vbe/Vt) - 1).
And I think that MrAl want to compare this two equation from engineering point of view.
Which of this two equations gives "better" result in determining Ic current.
Both equations are valid and give equally good results.
And our task is to find Ib and Ic current. Next we build this circuit and we check our calculation on the bench.
Better get started.
Claude Abraham,
We need to add 3) Alpha (current control). Ic = alpha*Ie, is the best control method ever devised. Alpha is very predictable and consistent, unlike beta.
Alpha and beta have a one to one relationship, i.e. and alpha can be converted to a unique beta value and vice versa.
Oblivion,
It seems to me everyone opposing MrAl's view just wants to focus on why the circuit sucks, and not ways we can analyze why the circuit sucks.
I will have something to say about this later.
The transistor alpha certainly is a real parameter of a transistor, to be sure. And it is very "progressive" or "out of the box" thinking to try and use it for something meaningful. But as far as I know, transistor alpha only plays an important role with common-base configurations, and can almost always be considered unity. It's not really a gain factor, as much as it is attenuation.
Alpha in known in electronics as the common base current gain. Beta is the common emitter current gain.
But other than that, alpha is rather useless for analyzing a transistor from what I know.
Its concept is useful.
Claude Abraham,
We have bjt parts w/ beta=5,000. If Ib is useless undesirable side-effect, why does the semicon OEM make parts w/ beta=50, 100, 250, etc. when they already know how to get beta=5,000. If Ib is useless every bjt would be designed as superbeta.
Reducing Ib incurs other performance tradeoffs that are downright ugly. BR.
I think you answered your own statement. If they could eliminate or greatly reduce Ib without bad side effects, that would be great.
MrAl,
Perhaps Ratchit can add to this thread also as he likes the voltage control method most.
Indeed I can.
Claude Abraham,
I've attached a 4 page calculation sheet I just generated for a generic bjt single stage amp. This was done to demonstrate the interactive nature of bjt parameters. The relations between Ic, hfe, gm, etc., is detailed in this analysis. Feel free to comment or ask for clarity. Best regards.
I will look it over when I have more time.
Oblivion,
As far as I know, (I could easily be slightly off), physically the volume{current} of minority charge carriers (which each have a potential{voltage}) moving through the E-B junction, induce an electric field{voltage} on the C-B junction. This induced field weakens what should be an impassable C-B depletion layer. This weakening allows majority charge carriers to pass from the emitter, past the base, into the collector... even though there is a reverse biased junction in that path.
Again...
It is the volume{current} of carriers, combined with the resistance to this carrier flow, that creates the accumulation of potential{voltage}. Thus the internal workings of the bjt transistor function on both voltage and current at the same time, as I have already said.
Back to the textbooks for you. A BJT is a diffusion driven device. That is why its current is exponential with respect to voltage. The highly concentrated charge carriers in the emitter diffuse into the base and are swept away into the collector by the reverse bias voltage. The mobile charge carriers leave behind ions whose charges cause a voltage that opposes further diffusion. The base voltage cancels this voltage and keeps the diffusion current going. So the movement of charge in the emitter-base region is not directly from the voltage, but from diffusion.
Conversely, a load can not have a voltage across it without having a current going through it.
An insulator can have a voltage without any current existing through it. A fully energized capacitor can have a voltage across it with any current existing in the the cap's branch.
Claude Abraham,
Equations like Shockley and Ohm only relate V to I, they do not imply which is in control of the other.
I agree with you on that point. The physics of the device determine what controls what.
The transient behavior of p-n junctions is proof positive that V does NOT control I. I changes w/o V changing, then V catches up. If V controls I the opposite would be observed. Can't refute that.
No it isn't. Yes, I can. A phase difference is not a proof that one entity does or does not control the other. The physics of the device determines that. A phase difference means that some energy is being stored or released. It has nothing to do with what parameter controls the device.
Oblivion,
We can never really know what physically true is as we can only rely on the 5 limited human senses and our imagination.
Sure we can. Many scientific facts and mathematical relations can be proven beyond a shadow of a doubt.
Therefore neither can be in control of the other, and to argue otherwise is just a different kind of "chicken or the egg" argument.
No it isn't. The physics of the system determine what controls what.
You can't have Ohm/Shockley law without some kind of marriage between volts and current.
One of these days, I will have to show you what Ohm's law really is.
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My turn:
There has a lot of talk about biasing, but very little or nothing about stabilization. Biasing sets the Q point and stabilization keeps it there. Winfield Hill's method is a design strategy. It is not an analysis tool, proof of what controls a device, or proof that beta does not influence a BJT circuit. Also, it does not mean that the signal applied to the BJT is going to be directly applied to Vbe.
From what I read in this thread, I don't think too many of you really understand how it works. Look at what he said, "...a voltage-control design will assume a horrible low beta and a high Ib, and choose low values for R1 and R2..." The low values of Rb and high values of bias current will swamp out any changes caused by beta variations. It's not that beta doesn't have an effect, it is just that the effect is very small. So now he has the base locked down at 1.3 volts and that is not going to change no matter what beta is. The emitter current of Q1 is also locked at (1.3-0.7)/Re. That is not going to change much either. Continuing further, we have the signal voltage across 75 ohms of the Q2 emitter. So now re is stable at 1 ma and Re isn't going to change. So the AC gain will be a solid RL/(Re+re). Plus he lists other benefits of this design. You can read in textbooks that a small value of Rb improves beta variations, and it will also help prevent runaway current from Icbo. Icbo, also called Ico, is a permanent thermal current generator that starts up whenever the collector-base is reverse biased. It cannot be turned off, but if it crosses into the base-emitter junction, its effect becomes "betatized". That is why MrAL's first curcuit invites thermal runaway. Ico doubles for every 6°C for silicon transistors. Therefore, a designer will want to keep the emitter resistance high and the base resistor low so that a good part of Ico will harmlessly shunt out to the base circuit.
Another thing I wanted to say is that models are good for determining what a device does, but it does not show what parameter is in control.
Ratch