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Consider the possibility of a new design for an electric train. Theengine is dri

ID: 1723600 • Letter: C

Question

Consider the possibility of a new design for an electric train. Theengine is driven by the force on a conducting axle due to thevertical component of Earth's magnetic field. Current is down onerail, through a conducting wheel, through the axle, through anotherconducting wheel, and then back to the source via the other rail. (a) What current is needed to provide a modest5 kN force? Take the vertical component ofEarth's field to be 10 µT and the length of the axle to be3.0 m.
Enter anumber. 1 A
(b) How much power would be lost for each ohm of resistance in therails?
Enter anumber. 2 W (a) What current is needed to provide a modest5 kN force? Take the vertical component ofEarth's field to be 10 µT and the length of the axle to be3.0 m.
Enter anumber. 1 A
(b) How much power would be lost for each ohm of resistance in therails?
Enter anumber. 2 W Enter anumber. Enter anumber.

Explanation / Answer

force F = 5 kN = 5000 N magnetic field B = 10 * 10 ^ -6 T = 10 ^ -5 T length L = 3 m we know F = BiL from this current i = F / BL                             =1.66666* 10 ^ 8 A (b). Power lost for each ohm of resistance in the rails P = i ^ 2                                                                                    = 2.77777* 10 ^ 16 W
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