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Consider the possibility of a new design...

Consider the possibility of a new design for an electric train. The engine is driven by the force due to the vertical component of the earths magnetic field on a conducting axle. Current is passed down one coil, into a conducting wheel through the axle, through another conducting wheel & then back to the source via the other rail.
(i) what current is needed to provide a modest `10-KN` force? Take the vertical component of the earth's field be `10 muT` & the length of axle to be `3.0 m`.
how much power would be lost for each `Omega` of resistivity in the rails?
(iii) is such a train unrealistic?

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