Threading a moon

I started thinking about this in relation to colonizing brown dwarfs,
but
the Jovian system makes for a useful example, so:
Would it be feasible to generate electricity on a Jovian moon by
running
conductive cables along lines between the near and far poles to take
advantage of the moon's motion between Jupiter's magnetic field?
And, if so, how much power could you generate on any particular moon?

-l.
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