In a physics laboratory experiment, a coil with 160 turns. Each turn of the coil

Question

In a physics laboratory experiment, a coil with 160 turns. Each turn of the coil encloses an area of 14 cm2 . The coil is rotated 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 rotation takes 3.2×102 s . The earth's magnetic field at the location of the laboratory is 6.0×105 T .

What is the magnetic flux through one turn of the coil before it is rotated?

What is the average emf induced in the coil as it is rotated from the perpendicular to the parallel orientation?

Explanation / Answer

N =160 ,A =14 cm^2 , B =6*10^-5 T , theta1 = 0 degrees, theta2 = 90 degrees, t =3.2*10^-2 s

Magnetic flux =N B.A = NBAcos(theta) = 160* 6*10^-5*14*10^-4*1 =1.344*10^-5 Wb

From faradays law induced emf = -d(phi)/dt = NAB(cos(theta1) - cos(theta2))/t

=(160*6*10^-5*14*10^-4*1)/(3.2*10^-2)

V = 0.42 mV

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