Let’s take a look at the coil inductance.
A fun and easy place to start is look at some AC going through the coil (suggested in comments).
I used the oscilloscope’s test wave generator. I’m using two 10:1 probes connected thusly:
Channel 1 is shown above channel 2 on these oscilloscope screens:
Not much distortion at 500Hz:
At 50kHz we start to see some distortion:
At 500kHz we have obvious distortion:
Not sure what this tells us, but I’m sure it tell us something!
Now lets try a more abstract approach to the problem. We have a 6cm diameter air core coil with 60 turns. I found this handy inductance calculator. I looked up the thickness of 18 AWG wire and the relative permeability of air.
Theoretically the coil has 0.56mH of inductance. Sound right?
Given inductance and frequency, you can calculate impedance…which is what we’re after. But what’s the frequency of a single pulse?
UPDATE: The rectangular function may be useful for calculating frequency.