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Magnetic field inside a cylinder which is rotating in a nonconstant angular velocity 
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Jun1611, 02:41 AM

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1. The problem statement, all variables and given/known data
A hollow cylinder of length L and radius R, is madeout of a nonconducting material, is charged with a constant surface charge [itex]\sigma[/itex], and is rotating, along its axis of symmetry, with an angular velocity w(t) = [itex]\alpha[/itex]t. 2. Relevant equations 3. The attempt at a solution The answer in the manual is B = [itex]\mu[/itex][itex]\alpha[/itex]tR[itex]\sigma[/itex] Where [itex]\mu[/itex] is ofcurse [itex]\mu[/itex] zero. [ the magnetic constant ]. The manual's solution makes perfect sense if I knew that the circular electric field which is induced by the fact that the magnetic field is changing in time is constant. because then i could say that that the displacement current density is zero. Q: How can derive that the circular electric field, induced by the changing intime magnetic field, is not changing with time? Thanks in advance 1. The problem statement, all variables and given/known data 2. Relevant equations 3. The attempt at a solution 


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