Inside the solenoid with a current of 2 A and a winding

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Inside the solenoid with a current of 2 A and a winding density of n = 5 cm "1, a frame whose area is 10 cm" 2 rotates at a frequency of 10 r / s, the number of turns is 100, and the resistance is 5 ohms. The axis of rotation is perpendicular to the lines of induction of the magnetic field of the solenoid. Find: maximum and minimum mutual inductance of the frame and solenoid; The time dependence of the induction current in the frame.

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Task 30829. A detailed solution with a brief record of the condition, formulas and laws used in the solution, the derivation of the calculation formula and the answer.
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