Magnetic field inside a cylinder which is rotating in a non-constant angular velocity


by cadmus
Tags: angular, cylinder, field, inside, magnetic, nonconstant, rotating, velocity
cadmus
cadmus is offline
#1
Jun16-11, 02:41 AM
P: 4
1. The problem statement, all variables and given/known data

A hollow cylinder of length L and radius R, is madeout of a non-conducting 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 -in-time 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
Phys.Org News Partner Science news on Phys.org
Simplicity is key to co-operative robots
Chemical vapor deposition used to grow atomic layer materials on top of each other
Earliest ancestor of land herbivores discovered

Register to reply

Related Discussions
Magnetic field of long rotating dielectric cylinder with built in radial polarization Advanced Physics Homework 3
Does Torque act on a disc rotating with constant angular velocity Classical Physics 4
Rotating square coil in constant magnetic field Introductory Physics Homework 2
Magnetic field of rotating cylinder Advanced Physics Homework 6
Rotating cylinder, how long will it take before the angular velocity is halved Advanced Physics Homework 2