A metallic disc of radius r can rotate freely inside a long solenoid (ideal), abt a metallic shaft which runs parallel to the axis of the solenoid and is perp to the plane of the disc and passes through its centre.. Total resistance of the circuit is R. 1 end of the solenoid's wire is connected to the shaft while the other is connected to the edge of the Disc. Solenoid has n turns per unit length.
Given that the axis of the solenoid is parallel to the earth's magnetic field vector \vec{B_0}. The angular velocity of the disc is taken to be positive if its direction coincides with that of \vec{B_0}.
Q1) Disc rotates with a const. angular speed \omega, find the current through the solenoid wire.
Q2) Disc rotates with const. angular speed \omega, find magnetic field inside the solenoid.
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