I have an old PSU with current limiting. But I think it is very slow limiting. An example: When I put an LED at the output, the LED burns up.
I think the inrush is because most of power sources has a filtering capacitor right at the output connector. The output capacitor charges under constant current, say 10mA, you set on the power supply control panel, and by the time the LED is connected, the output capacitor is already charged at the max voltage, and all the energy accumulated into capacitor will inrush into the LED.
The filtering capacitor is placed after the current limiting circuits inside the power source, so the current limiting circuit are not aware of the current between the filtering capacitor and the load (here, the LED).
Something like this:
https://hackaday.io/project/7590-retardo-davinci/log/25376-rigol-dp832-power-supply-set-for-20-ma-can-kill-a-ledIf this is the case for your power supply too, then you can avoid the LED inrush current by first connecting the LED, and only turn on the output of the power supply with the load already attached.
The inrush current is dictated by the maximum voltage stored in capacitor, and the total resistance of the circuit, ESR of the filtering output capacitor + resistance of the connection wires and connectors + LED's internal resistance, so it depends heavily of the load circuit plus the connection wires.
For very long wires, the parasitic inductance of the long wires might start to matter and come into play, too, but that's probably not gonna have a big contribution.
To answer your question, how you measure the inrush current with an oscilloscope, you can improvise a
current transformer:
- get a ferrite tor (for example from a broken PC power supply, if you happen to have any, or from a filter gland like those you see on various cables
- put a few turns on the ferrite tor, you will connect the oscilloscope probe to this coil
- solder a 50 ohms load resistor as a load for your coil
- pass only one wire that power the LED, not both wires, through the magnetic core
- for any variation in the current passing through the LEDs wire, you will see a corresponding voltage on the oscilloscope
- the voltage read will be equal with the inrush current (here I
LED) multiplied with the transformer ratio 1/N (here the number of turns you put on the ferrite core) multiplied with the load resistor (here 50 ohms)
Something like this:
https://en.wikipedia.org/wiki/Current_transformer