EM maxwells equations problem infinite cylinder

[stevestevesteve]

Homework Statement

Suppose we have a infinite cylinder of radius=R and with uniform volume charge density ρ. Use Maxwell's Equations or relationships from them to find E, B, V, and A everywhere.

Pretty easy. But how do you approach the problem when you bring an angular vel into the mix? Suppose it is ω=(constant)*t z-hat and z-hat is along the central axis. (accelerates from rest)

Homework Equations

[/B]
Maxwell's Equations

The Attempt at a Solution

Have not been able to solve this with the angular vel included.

 

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What did you find out and where did you get stuck?