You can put a few mm thick piece of steel on top of the hob and then set your copper pan on that, as a workaround.
As an example, induction heating is a commonly used method in zone melting for Si-purification [0].
The effect is more pronounced in ferromagnetic materials because a larger flux is induced.
The place I used to go had a gas furnace to heat the metal. A pitty I didn't find time to go there for ages now... Only downside of gas furnace, closed on on end, is the limited length of the stuff you can put in. I have an idea I want to try to forge longer things, but again, it is months now I didn't have time to get back to it...
But yeah, I just realized the last time I was there was last year before christmas... Good thing anout this is: the day I retire I will definitely not be bored at all!