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 11.2 cm2 is rotated in a time interval of 3.00×102 s 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 5.2×105 T .

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

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

What is the average emf induced in the coil?

Explanation / Answer

here,

number of turns , n = 250

area , a = 11.2 * 10^-4 m^2

time , t = 0.03 s

the earth's magnetic feild , B = 5.2 * 10^-5 T

the total magnetic flux through the coil before it is rotated , phi0 = B * a * n * cos(0)

phi0 = 5.2 * 10^-5 * 11.2 * 10^-4 * 250 * 1

phi0= 1.456 * 10^-5 T.m^2

the total magnetic flux through the coil after it is rotated, phi = B * a * n * cos(90) = 0

the average emf induced in the coil , V = (phi0 - phi)/t

V = 1.456 * 10^-5 /0.03

V = 4.85 * 10^-4 V

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