Problem 21.29 Two coils are wound around the same cylindrical form, as shown in

Question

Problem 21.29 Two coils are wound around the same cylindrical form, as shown in the figure Eigure 1) When the current in the first (black) coil is decreasing at a rate of 0.240 A/s the induced emf in the second blue) coil has magnitude 1.67 mV Figure 1 Cross sextional area A coil: N. turns Black coil: Nu turns A What is the mutual inductance of the pair of coils? mH Submit My Answers Glve Up Part B If the second coil has 29.0 tums. what is the average magnetic flux through each tum when the current in the first coil equals 1.16 A Wb Submit My Answers Give Up Part C If the current in the second co increases at a rate of 0.330 A/s what is the magnitude of the induced emf in the first coil?

Explanation / Answer

Part A)

induced EMF

E = M di/dt

1.67 x 10^-3 = M x 0.24

M = 6.9583 mH

B)

average flux = Mi/N

average flux = 6.9583 x1.16 x 10^-3 / 29

flux = 2.783 x 10^-4 Wb

C)

E = Mdi/dt

E = 2.296 mV

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