A 25-turn coil with a diameter of 6.00 cm is placed in a constant, uniform magne

Question

A 25-turn coil with a diameter of 6.00 cm is placed in a constant, uniform magnetic field of 1.00 T directed perpendicular to the plane of the coil. Beginning at time t = 0 s, the field is increased at a uniform rate until it reaches 1.30 T at t = 10.0 s. The field remains constant thereafter.

1) What is the magnitude of the induced emf in the coil at t < 0 s? (Express your answer to two significant figures.) mV

2) What is the magnitude of the induced emf in the coil at t = 5.00 s? (Express your answer to two significant figures.) mV

3) What is the magnitude of the induced emf in the coil at t > 10.0 s? (Express your answer to two significant figures.)

Explanation / Answer

e = Ndphi/dt

phi = BA

e = NAdB/dt

A = pi*d^2/4 = d = 6 x 10^-2

at t < 0

no change in B db/dt =0 0

e = 0 mV

part b )

filed is increasing uniformly = in 10 sec it increase = 0.30 T

in 1 sec = 0.03 T

in 5 sec = 0.15

e = NA*dB/dt =

dB = 0.15

t = 5

e = 2.1 x 10^-3 V = 2.1 mV

part 3 )

dB = 0.3

e = 2.1 x 10^-3 V = 2.1 mV

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