Question

ncreasing the frequency of rotation of the coils in an electrical generator increases the output emf.urn coil with a 0.250 m2 area is spun in the Earth’s 5.00×10−5T field, producing a 12.0 kV maximum emf. At what angular velocity must the coil be spun?

Answer 1

The question is incomplete. The complete question is:

A 500-turn coil with a 0.250 m2 area is spun in the Earth’s 5.00 × 10−5 T field, producing a 12.0 kV maximum emf. (a) At what angular velocity must the coil be spun? (b) What is unreasonable about this result? (c) Which assumption or premise is responsible?

Answer:

ω=1.92 × 106 rad/s

Step-by-step explanation:

Emfo= 12.0×10^3 V

N= 500 turns

A= 0.250 m^2

B= 5.00×10^-5

ω=??????

From

Emfo= NABω

ω= Emfo/NAB

ω= 12.0×10^3/500×0.250×5.00×10^-5

ω=1.92 × 106 rad/s

b) This angular velocity is unreasonably high, it is very much higher than a value that can be obtained for any mechanical system.

c) The unreasonable assumption or premise that a peak voltage as high as 12.0kV may be obtained.