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A solenoid with a radius of 10 cm and a turns density of 1 million per...

A solenoid with a radius of 10 cm and a turns density of 1 million per meter has a current circulating counter-clockwise and decreasing at 5 mA/s. It sits inside a squat coil of 2000 turns with twice the solenoid's radius and wound in the same direction. Find the magnitude and direction of the current induced in the coil if its resistance is 10 Ω. Use 1.2 µT·m/A for the permeability.

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