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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
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Phoniex University
Oct-2001 - Nov-2016
In Ex. 8.4, suppose that instead of turning off the magnetic field (by reducing I) we turn off the electric field, by connecting a weakly10 conducting radial spoke between the cylinders. (We'll have to cut a slot in the solenoid, so the cylinders can still rotate freely.) From the magnetic force on the current in the spoke, determine the total angular momentum delivered to the cylinders, as they discharge (they are now rigidly connected, so they rotate together). Compare the initial angular momentum stored in the fields (Eq. 8.34). (Notice that the mechanism by which angular momentum is transferred from the fields to the cylinders is entirely different in the two cases: in Ex. 8.4 it was Faraday's law, but here it is the Lorentz force law.)
Example 8.4
Imagine a very long solenoid with radius R, n turns per unit length, and current I. Coaxial with the solenoid are two long cylindrical (non-conducting) shells of length l-one, inside the solenoid at radius a, carries a charge + Q, uniformly distributed over its surface; the other, outside the solenoid at radius b, carries charge - Q (see Fig. 8.7; 1 is supposed to be much greater than b). When the current in the solenoid is gradually reduced, the cylinders begin to rotate, as we found?
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