A 110-turn square wire coil of area 0.040 m2 rotates about a vertical axis at 16

Question

A 110-turn square wire coil of area 0.040 m2 rotates about a vertical axis at 1660 rev/min, as indicated in the figure below. The horizontal component of Earth's magnetic field at the location of the loop is 2.0 10-5 T. Calculate the maximum emf induced in the coil by Earth's field. V
A 110-turn square wire coil of area 0.040 m2 rotates about a vertical axis at 1660 rev/min, as indicated in the figure below. The horizontal component of Earth's magnetic field at the location of the loop is 2.0 10-5 T. Calculate the maximum emf induced in the coil by Earth's field. V
A 110-turn square wire coil of area 0.040 m2 rotates about a vertical axis at 1660 rev/min, as indicated in the figure below. The horizontal component of Earth's magnetic field at the location of the loop is 2.0 10-5 T. Calculate the maximum emf induced in the coil by Earth's field. V

Explanation / Answer

magnetic flux = N*B*A*coswt

induced emf = -rate of change in flux

emf = N*B*A*sinwt*w

emf = N*B*A*w*sinwt

maximum emf = N*B*A*w

N = 110

B = 2*10^-5 T

A = 0.04 m^2

w = 1660 rev/min = 1660*2*pi/60 = 173.8 rad/s

maximum emf = 110*2*10^-5*0.04*173.8 = 0.0153 V

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