In a physics laboratory experiment, a coil with 220 turns enclosing an area of 1

Question

In a physics laboratory experiment, a coil with 220 turns enclosing an area of 12.32cm2 is rotated in a time interval of 0.462s from a position where its plane is perpendicular to the earth's magnetic field to one where its plane is parallel to the field. The earth's magnetic field at the lab location is 89.1?T .

What is the total magnetic flux through the coil before it is rotated?

What is the average emf induced in the coil?

What would be the induced emf in the coil if it had rotated 30 degrees instead of 90 in the same amount of time?

Explanation / Answer

A.

Bfluxi = N B A

as the plane is perpendicular to the field. Thus,

Bfluxi = 2.415*10^-5 T*m^2   [ANSWER]

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At the final position of the coil, there is no net flux as it is now parallel to the field.

Thus, Bfluxf = 0,

emf = (Bfluxf - Bfluxi)/t

emf = 5.23*10^-5 V   [ANSWER, average emf]

******************

If it rotated by 30 degrees, then

Bfluxf = N B A cos 30

= 2.091E-5 T m^2

Thus, using the same formula above for emf,

emf = 7.00*10^-6 V   [ANSWER, last part]

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