Calculating Dynamic Resistance & Stabilization Factor for Zener Diode (Ir = 60 ± 20mA)

Hello, How to calculate the dynamic resistance and stabilization factor of a zener diode given its characteristics. Calculations should be made for Ir = 60 +/- 20 [mA]

should it look something like this:

reads from the graph the values of U for I=40 (60-20) and for I=80 (60+20) and subtracts the larger from the smaller and thus I get ΔU ?

and ΔI = 40 mA ? (80-40)

hence Rdyn=ΔU/ΔI

what about stat? is it U for Ir = 60 divided by Ir ? ) (Ir from command content)

therefore Z = Rst/Rdyn ?

please reply. Regards

Hello,
dynamic resistance Rd is the derivative of the voltage AT relative to the current AND :
Rd = d AT/ d AND , dynamic resistance value (at a given point of the voltage-current characteristic) is the value of this derivative at that point.
Having the graph of the above-mentioned voltage-current characteristics, use the interpretation of the geometric derivative and read the relevant voltage parameters ΔU and electricity ΔI from the sides of a right triangle built on the tangent as the hypotenuse at a given point of the characteristic and calculate their quotient;
Rd = ΔU/ΔI - necessarily as the sides of a right-angled triangle and the sides must be large enough to obtain the appropriate accuracy of the calculations.

Regards

I saw this statement but I wanted to get rather more specific about my case.

Stepel wrote:

I saw this statement but I wanted to get rather more specific about my case.

what question, such an answer ... and where is the current-voltage characteristic?
I don't have clairvoyant abilities, and I won't ask fortune tellers... :cry:

Stepel wrote:

therefore Z = Rst/Rdyn ?

And what is that WITH ? It has no physical interpretation.

Regards

we know the current-voltage characteristic. is the same as for the zener diode. I don't have the exact one on my computer. It's more of a way of approaching the problem. One more thing:

Z = Rdyn/Rstat ? does Z = Rstat/Rdyn?

Added after 52 [seconds]:

Z is the zener stabilization coefficient so named.

Stepel wrote:

[ ... ]
Z = Rdyn/Rstat ? does Z = Rstat/Rdyn?

Added after 52 [seconds]:

Z is the zener stabilization coefficient so named.

What?
Im Clarence Melvin Zener it was the American physicist who first described the phenomenon named after him.
And it would be difficult for him to calculate the stabilization factor... :D

Stabilization factor incl parametric stabilizer can be the output voltage related to another parameter related to this stabilizer (input voltage, load current, etc.).

Regards

And it always seemed to me that this coefficient is the ratio of dynamic and static resistance. Only now there is a question, because when I count from the formula from the laboratory manual, which is Rst / Rdyn, it comes out about 25; / and on the Internet I met with the formula Rdyn / Rst then it comes out less :)

as for "Z" it's just a letter for the stabilization factor, not the so-called zener hehe

Stepel wrote:

And it always seemed to me that this coefficient is the ratio of dynamic and static resistance. Only now there is a question, because when I count from the formula from the laboratory manual, which is Rst / Rdyn, it comes out about 25; / and on the Internet I met with the formula Rdyn / Rst then it comes out less :)

as for "Z" it's just a letter for the stabilization factor, not the so-called zener hehe

however, you are probably wrong (and if it is in the manual, I will leave it without comment), LOOK and there THIS page 15.

Regards

hmm, I'm posting a snippet of the manual..




how to relate to it?

Stepel wrote:

hmm, I'm posting a snippet of the manual..



how to relate to it?

Well, paper will bear everything ... but who and what do you need this parameter for when designing a parametric voltage stabilizer (from which the load current is usually taken) using a Zener diode?
For me, this is "contrived", because for calculations of the basic stabilization factor, i.e. changes in the output voltage to changes in the input voltage, only the dynamic resistance and other parameters of the circuit are enough (as a necessary parameter).

Regards

hmm, that's right, but this exercise was about testing the zener diode as one of the diodes (there were also germanium ones, etc.). This is not about the stabilization factor of the system in relation only to the input and output voltage, so these calculations at the beginning and is this Ir = 60 +/- 20 is the load current? :/ now the question is whether this dynamic resistance can be calculated as in the first post.

Added after 3 [minutes]:

except that in another manual found somewhere on the internet it was:

The zener diode stabilization factor is the ratio of the relative change in voltage to the relative change in current. It can also be defined as the ratio of the dynamic resistance rz to the static resistance Rz of the zener diode.

heh that's the opposite of what is in my manual