suppose a 62-turn coil lies in the plane of the page in a uniform magnetic field that is directed into the page. the coil originally has an area of 0.25 m2. it is stretched to have no area in 0.100 s. what is the magnitude of the induced emf (in volts) if the uniform magnetic field has a strength of 1.50 t?

Question

21-10-2022
Physics

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suppose a 62-turn coil lies in the plane of the page in a uniform magnetic field that is directed into the page. the coil originally has an area of 0.25 m2. it is stretched to have no area in 0.100 s. what is the magnitude of the induced emf (in volts) if the uniform magnetic field has a strength of 1.50 t?

Answer :

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aditmarkas98 aditmarkas98 · Answer 1 · 2022-10-28T07:01:25-04:00

The magnitude of electromotive force is 232.5 volts.

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 = N dΦ / dt

where N is coil turns, ε is electromotive force, dΦ is change in magnetic flux and dt is time interval.

From the question above, the parameters given are

N = 62

A/t = 0.25 m² / 0.1 s

t = 0.1 s

B = 1.5 T

By substituting the given parameters, we can calculate electromotive force

ε = N . dΦ / dt

ε = 62 . B . A / t

ε = 62 . 1.5 . 0.25 / 0.1

ε = 232.5 volts

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