If I would/could read …..
I thought about putting the signal generator across the coil and also putting a a.c.-meter across the coil. But many meters will not measure 100khz ac.
what to do? ...….
Make a "RF probe" or a "demodulation probe" for your meter. Use the circuit from the internet. (ok most internet circuits do not work)
probe
Because we want to use it at a lower frequency than "RF" you might use 10x or 100x larger capacitors than normal.
Put the signal generator across the coil. The coil should short out the signal. Put the demodulation probe across the coil and set the meter to low voltage DC.
Sweep the signal generator and try to find a frequency where the coil 'opens up" and you get a large signal.