A wire loop of area 150cm^2 lies on a horizontal table top. An electromagnet pro

Question

A wire loop of area 150cm^2 lies on a horizontal table top. An electromagnet produces a magnetic field of .260T directed straight up through the loop. Over a period of .40s, the field is reduced to 0.060T. A) find the magnitude of the induced emf in the loop during the .40s interval. B) CW or CCW? A wire loop of area 150cm^2 lies on a horizontal table top. An electromagnet produces a magnetic field of .260T directed straight up through the loop. Over a period of .40s, the field is reduced to 0.060T. A) find the magnitude of the induced emf in the loop during the .40s interval. B) CW or CCW? A) find the magnitude of the induced emf in the loop during the .40s interval. B) CW or CCW?

Explanation / Answer

a)

here

the field decrease at the rate of

dB / dt = (0.060 - 0.260 ) / 0.40

dB / dt = -0.5 T /s

the -ve sign show the decreasing rate of the field

then

area = 0.015 m^2

by using the formula

induced emf = N*A *cos(theta ) * dB / dt

induced emf = 1 * 0.015 * cos( 0 degree) * 0.5

induced emf = 0.0075 * 1000 = 7.5 mV

so the induced emf is 7.5 * 10^-3 V

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