Inside a long solenoid with a coil density of 5 cm ^ -1 there is a frame with an area of 10 cm ^ 2 and the number of turns N = 1000. The frame rotates uniformly with a frequency of 10 Hz relative to the axis lying in the plane of the frame and perpendicular to the lines of force of the magnetic field of the solenoid. The current in the solenoid is 2A, the resistance of the frame is 5 ohms. Determine: the current strength in the frame at time t2 = T / 4; the charge passed through the frame over a period of time from 0 to t2.

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