In a physics laboratory experiment, a coil with 250 turns enclosing an area of 1

Question

In a physics laboratory experiment, a coil with 250 turns enclosing an area of 10.1 cm^2 is rotated during the time interval 4.90×10^-2 sec 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 6.10×10^-5 T.

a) What is the total magnitude of the magnetic flux ( Phi_initial) through the coil before it is rotated?( answer should be in Wb)

b) What is the magnitude of the total magnetic flux Phi_final through the coil after it is rotated? ( answer should be in Wb)

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

Explanation / Answer

No.of truns N = 250 Area A = 10.1 cm^ 2= 10.1 * 10 ^ -4 m^ 2 time interval dt = 4.9 * 10 ^ -2 s The magnitude of Earth's magnetic field at the lab location is B = 6.10×10^-5 T a) the total magnitude of the magnetic flux ( Phi_initial) through the coil before it is rotated , Phi-initial = NBA cos 0 = NBA = 1.54 * 10^-5 weber b) the magnitude of the total magnetic flux Phi_final through the coil after it is rotated,phi-final = NBA cos 90 = 0 Since cos90 = 0 c) the magnitude of the average emf induced in the coil E = [(Phi_initial )-(Phi_final)] / dt = 3.14 * 1 ^ -4 volt

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