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A 81.5 mH solenoid inductor is wound on a form that is 0.80 m long and...

A 81.5 mH solenoid inductor is wound on a form that is 0.80 m long and 0.10 m in diameter. A coil having a resistance of 5.13 Ω is tightly wound around the solenoid with 350 loops and the solenoid at its center. The coil is approximately the same length and diameter as the solenoid. At a given instant, the current in the solenoid is 820 mA and is decreasing at the rate of 2.5 A/s.

(a) At the given instant, what is the induced current in the coil?

(b) What is the net magnetic field at the center of the solenoid?

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