A 500 turn coil with a 0.250 m^2 area is spun in the Earth\'s 5.00 x 10^-5 T mag

Question

A 500 turn coil with a 0.250 m^2 area is spun in the Earth's 5.00 x 10^-5 T magnetic field, producing a 12.0 kV maxiumum emf. a). At what frequency, f, in rpm, must the coil be spun? b). Which assumption or premise is responsible for the unreasonable result? Answers: • none of these • the area is unreasonably large • the voltage is unreasonably low • the area is unreasonably small • the voltage is unreasonably high • 500 turns are too many for a coil
A 500 turn coil with a 0.250 m^2 area is spun in the Earth's 5.00 x 10^-5 T magnetic field, producing a 12.0 kV maxiumum emf. a). At what frequency, f, in rpm, must the coil be spun? b). Which assumption or premise is responsible for the unreasonable result? Answers: • none of these • the area is unreasonably large • the voltage is unreasonably low • the area is unreasonably small • the voltage is unreasonably high • 500 turns are too many for a coil
A 500 turn coil with a 0.250 m^2 area is spun in the Earth's 5.00 x 10^-5 T magnetic field, producing a 12.0 kV maxiumum emf. a). At what frequency, f, in rpm, must the coil be spun? b). Which assumption or premise is responsible for the unreasonable result? Answers: • none of these • the area is unreasonably large • the voltage is unreasonably low • the area is unreasonably small • the voltage is unreasonably high • 500 turns are too many for a coil
a). At what frequency, f, in rpm, must the coil be spun? b). Which assumption or premise is responsible for the unreasonable result? Answers: • none of these • the area is unreasonably large • the voltage is unreasonably low • the area is unreasonably small • the voltage is unreasonably high • 500 turns are too many for a coil

Explanation / Answer

magnetic flux = N*B*A*coswt

emf = rate of change in flux = N*B*A*w*sinwt

maximum emf = N*B*A*w

w = (omega ) = frequency

N = number of turns

given emf max = 12*10^3 V

12*10^3 = 500*5*10^-5*0.25*w

frequency w = 1920000 rad/s

frequency w = 1920000*(60/(2pi)) = 18334649.44 rpm

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the voltage is unreasonably high

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