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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?

Text Solution

Verified by Experts

The correct Answer is:
(i) 3.3xx10^(8) A, (ii) 1.1xx10^(17)W, (iii) totally unrealistic

(i) `F=IlB implies 10^(4)=Ixx3xx10xx10^(-6)`
`I=3.33xx10^(8)A`
(ii) `P=I^(2)R=(3.33xx10^(8))^(2)xx1=1.1xx10^(17) watt`
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