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Stewart-Tolman Effect (Current caused by Acceleration of wires)
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[QUOTE="Steve4Physics, post: 6479846, member: 681522"] Since no one else has replied yet, see if this helps... It is ambiguous to say ‘the rings are fixed’ as this could imply they are stationary (‘fixed’) in the lab’ frame of reference. I believe the rings are meant to be attached to the cylinder and rotate with the cylinder. Or the question makes no sense. “Consider the inertial reference frame in which the positive ions forming the crystal lattice of some portion of a metallic ring are at rest. “ This is [B]not[/B] an inertial frame. A ring’s crystal lattice is not only rotating but has angular acceleration. So this frame is [B]non[/B]-inertial. We can ignore radial motion. To an observer in the rotating frame, electrons are subject to two forces – the tangential fictitious Euler force (look it up if needed) and a ‘drag’ force produced by collisions between the electrons and the lattice. The electrons reach a terminal speed relative to the lattice when the Euler and ‘drag’ forces become equal. (In the same way that raindrops reach a terminal velocity when their weight and the drag force become equal.) That means there is a current of electrons flowing relative to the lattice. The ‘fictitious electric field’ is poorly named. It should be called the ‘equivalent electric field’. It is simply the electric field which would be needed to produce the same current in an inertial (e.g. stationary) system. Finally, as the angular speed continues to increase, relativistic effects will start to become significant and would need to accounted for. I expect the question simply requires you to consider the non-relativistic regime (ωr<<c) so you can ignore the classical possibility of the angular speed tending to infinity! [/QUOTE]
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Stewart-Tolman Effect (Current caused by Acceleration of wires)
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