A 96-MH Solenoid Inductor Is Wound on a Form 0

A 96-mH solenoid inductor is wound on a form 0.80 m in length and 0.10 m in diameter. A coil is tightly wound around the solenoid at its center. The coil's resistance is 9.9 ohms. The mutual inductance of the coil and solenoid is 31 μH. At a given instant, the current in the solenoid is 540 mA, and is decreasing at the rate of 2.5 A/s. At the given instant, what is the magnitude of the induced current in the coil? (μ₀ = 4π × 10^-7 T ∙ m/A)

A) 7.8 μA
B) 6.3 μA
C) 9.4 μA
D) 11 μA
E) 13 μA

Correct Answer:

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