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Show all work, explain steps 1 Induced Potentials The motion of a conductor in t

ID: 1538967 • Letter: S

Question

Show all work, explain steps

1 Induced Potentials The motion of a conductor in the Earth's magnetic field creates a potential difference between its ends. (a) The horizontal component of the Earth's magnetic field is about 25 AT at the surface, and points north. If a car is traveling due east at 65 mph, what is the induced voltage between the ends of a vertical radio antenna that is 2 ft tall? (b) A DC-10 jet aircraft has a wingspan of about 150 ft. If it is flying horizontally at 600 mph in a place where the vertical component of the Earth's magnetic field is 60 puT, what is the induced voltage between its wingtips?

Explanation / Answer

a) induced emf = BvL = 25 x 10-6 x (65 x 1609.344/3600) x 2 x 0.3048 = 4.42837824 x 10-4 V

b) induced emf = BvL = 60 x 10-6 x (600 x 1609.344/3600) x 150 x 0.3048 = 0.735792 V

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