For the same setup of the faraday law experiment, if the frequency of the magnetic field is changed from 40hz to 120hz, how will the emf voltage change?.

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26-10-2022
Physics

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For the same setup of the faraday law experiment, if the frequency of the magnetic field is changed from 40hz to 120hz, how will the emf voltage change?.

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aditmarkas98 aditmarkas98 · Answer 1 · 2022-10-28T07:35:54-04:00

The magnitude of electromotive force will change in factor 30.

We need to know about the electromotive force of induction to solve this problem. The emf induction appears when there is any change in magnetic flux. The magnitude of emf can be determined by

ε = B . A . N . ώ

where N is coil turns, ε is electromotive force, B is the magnitude of the magnetic field, A is surface area, and ώ is angular velocity.

From the question above, the parameters given are

f1 = 40 Hz

f2 = 120 Hz

The electromotive force ratio will be

ε2 / ε1 = B . A . N . ώ2 / B . A . N . ώ1

ε2 / ε1 = ( 2 . π . f2 ) / ( 2 . π . f1 )

ε2 / ε1 = f2 / f1

ε2 / ε1 = 120 / 40

ε2 / ε1 = 30

ε2 = 30 ε1

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