Does moving an iron core in a coil induce a current flow?

Описание: Does moving an iron core in a coil induce a current flow? My guess is there must be some magnetism involved somewhere, but as you can see the meter gives some spurious readings even when not connected so possibly even capacitive effects involved here.
Here is the video that inspired the comment that inspired today's video - What can I do with these scavenged parts #1    • What can I do with these scavenged parts? #1   and watching the beginning of it I can see where the coils came from for today's video 😍 obviously my memory is rapidly failing and I don't remember where each scavenged part came from 4 years later.

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