Fundamentals Friday.
A tutorial on Zener Diodes.
Correction for 29:00 in the video. Summary: Not dynamic resistance, but rather RC effect, with Zener showing appreciable C.
Dave discusses using a 5.1V Zener diode as a signal clamp. He demos what amounts to a voltage divider having a 1k input resistor, and then 5.1V Zener to ground. The scope shows 7V square wave input and ~5.1V output signal, as expected. Zooming in to 50ns timebase, the scope shows leading edge of output waveform with slow rise time.
(And then Dave repeats the demo with 100ohm || 1k, so R = 90 ohm, and shows much faster but still slowed rise time. )
Dave attributes this to the dynamic resistance. I'm fairly certain the effect is due to the RC effect of the input resistor with the capacitance of the Zener (and scope probe, although that's set to 10X, so minimal). Calculating: The rise time from around 1V to 5V (so about 63% :-) ) was 150ns, which with R = 1k gives a capacitance of about 150pF. That aligns well with data in, for example:
https://www.onsemi.com/pub/Collateral/HBD854-D.PDF page 25.
[Later edit] It occurs to me that where "dynamic resistance"
does come into play is at the top of the rise where the output transitions from rise to horizontal at ~5.1V.
Dynamic resistance is really just a way of characterizing the slope of the I vs V curve, modeling it as an ideal Zener (either on or off with a knee at say 5.1V) in series with a resistance... but then taking into account that the curve above the knee voltage is not straight as a resistance would provide. Instead it's curved, corresponding to somewhat gradual turn-on of the Zener, hence "dynamic" resistance.
In the demo, at the rising edge, the output voltage rises, slowed by RC, until it reaches near 5.1V. At 5.1V, with an ideal Zener, the output voltage would abruptly transition to a horizontal line. But it does not -- it gently curves from rising to flat. That's due to the Zener's only gradual transition from high resistance (below 5.1V) to low resistance (above 5.1V). Quite noticeable in the 90 ohm example:
So, the "dynamic resistance" is indeed displayed on the scope. However it's not causing the most conspicuous feature (slow rise time) but rather the non-sharp transition from rise to flat.
Graham