A96-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)

Explanation:

Induced EMF in the coil is given by the equation

so we have

also we know that rate of change in current in solenoid is given as

so induced EMF of coil is given as

now induced current in the coil will be given as

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