In a physics laboratory experiment, a coil with 200 turns enclosing an area of 1

Question

In a physics laboratory experiment, a coil with 200 turns enclosing an area of 11.8 cm^2 is rotated during the time interval 4.90×10^-2 s from a position in which its plane is perpendicular to Earth's magnetic field to one in which its plane is parallel to the field. The magnitude of Earth's magnetic field at the lab location is 5.60×10-5 T.

a) What is the total magnitude of the magnetic flux through the coil before it is rotated?

b) What is the magnitude of the total magnetic flux through the coil after it is rotated?

c) What is the magnitude of the average emf induced in the coil?

Explanation / Answer

A) Magnitude of the magnetic flux,

Phi = nBA cos(theta)

Phi = 200 x 5.6 x 10^-5 x 11.8 x 10^-4 x cos0 = 1.32 x 10^-5 Wb

B) Phi = nBAcos(theta) = nBA cos90 = 0

C) emf, |e| = d(phi) /dt = (1.32 x 10^-5)/0.049 = 0.27 mV

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