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Mathmos6
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Homework Statement
Two long thin concentric perfectly conducting cylindrical shells of radii a and b (a<b) are connected together at one end by a resistor of resistance R, and at the other by a battery that establishes a potential difference V. Thus, a current I=V/R flows in opposite directions along each of the cylinders.
Using Ampere's law, find the magnetic field B in between the cylinders.
Homework Equations
Ampere's Law: [itex]\nabla \times B = \mu (J +\epsilon \frac{\partial{E}}{\partial{t}})[/itex]
The Attempt at a Solution
Assuming I have got what I think is Ampere's law correct, I'm really not sure where to go on this one - I know we can infer a few assumptions about the fact the shells are 'perfectly conducting' but I'm not sure what exactly, and so I don't know how exactly to proceed - is J uniform, for example?
In addition, once I have an equation in Ampere's law, do I have to solve things component-wise to get B out of Curl(B) or is there a smarter way to do it?
I'm revising for an exam on Tuesday and I'm really stuck on this one so any help would be appreciated as urgently as you can manage!
Many thanks :-)