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A magnetic field B is confined to a regi...

A magnetic field B is confined to a region `r le` a and points out of the paper (the z-axis), r = 0 being the centre of the cicular region. A charged ring (charge = Q) of radius b,bgt a and mass m lie in the x-y plane with its centre at origin. The ring is free to rotate and is at rest. The magnetic field is brougth to zero in time `Delta t`. Find the angular velocity `omega or the ring after the field vanishes.

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To solve the problem, we will follow these steps: ### Step 1: Understand the System We have a charged ring of radius \( b \) and mass \( m \) lying in the xy-plane. The magnetic field \( B \) is confined to a circular region of radius \( a \) and points out of the paper (along the z-axis). The ring is initially at rest. ### Step 2: Determine the Change in Magnetic Field The magnetic field is brought to zero in a time interval \( \Delta t \). According to Faraday's law of electromagnetic induction, a change in magnetic field induces an electromotive force (emf) in the ring. ...
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