Question

In a physics laboratory experiment, a coil with 180 turns enclosing an area of 13.9 cm2 is rotated during the time interval 3.70×10⁻² 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 6.70×10⁻⁵ T .

What is the magnitude of the magnetic flux (Φinitial) through the coil before it is rotated?

Express your answer numerically, in webers, to at least three significant figures.

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|Φinitial| =

Wb

Part B

What is the magnitude of the magnetic flux Φfinal through the coil after it is rotated?

Express your answer numerically, in webers, to at least three significant figures.

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Wb

Part C

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

Express your answer numerically, in volts, to at least three significant figures.

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average induced emf =

V

Answer 1

here,

the number of turns , N = 180 turns

area = 13.9 cm^2 = 13.9 * 10^-4 m^2

the magnetic feild , B = 6.7 * 10^-5 T

a)

the magnitude of the magnetic flux through the coil before it is rotated , phii = area * N * B

phii = 13.9 * 10^-4 * 180 * 6.7 * 10^-5 T.m^2

phii = 1.68 * 10^-5 T.m^2

b)

the magnitude of the magnetic flux Φfinal through the coil after it is rotated , phif = area * N * B * sin(0) = 0

c)

the magnitude of the average emf induced in the coil , V = - dphi /dt

V = - ( phif - phii)/t

V = -(0 - 1.68 * 10^-5 )/0.037 V

V = 4.53 * 10^-4 V