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 = 4pi × 10^-7 T · m/A)

University Physics Volume 2
18th Edition
ISBN:9781938168161
Author:OpenStax
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Chapter14: Inductance
Section: Chapter Questions
Problem 76AP: Suppose that a cylindrical solenoid is wrapped around a core of iron whose magnetic susceptibility...
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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 = 4pi × 10^-7 T · m/A)

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