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A metal rod OA of mass m length r is kept rotating with a constant...

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A metal rod OA of mass m length r is kept rotating with a constant angular speed o in a vertical plane about a horizontal axis at the end O The free end A is arranged to slide without friction along a fixed conducting circular ring in the same plane as that of rotation A uniform constant magnetic induction B is applied perpendicular into the plane of rotation as shown in figure An inductor L and an external resistance R are connected through a switch S between the point O a point C on the ring to form an electrical circuit Neglect the resistance of the ring and the rod Initially the switch is open a What is the induced emf across the terminals of the switch b i Obtain an expression for the current as a function of time after switch S is closed S R ii Obtain the time dependence of the torque required to maintain b the constant angular speed given that the rod OA was along the positive X axis at t 0 X X mmmm L X y 20 0 AXX

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