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deusexlumina
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Homework Statement
The turns for a long solenoid are wound to fill the space between two concentric cylinders of fixed radii, r1 and r2. Show that, for a given magnetic field density along the axis of the solenoid, the heat dissipated in the windings is independent of the size of the wire used. For simplicity, assume wire of rectangular cross-section, that the thickness of any insulation can be neglected and that (r2 - r1) << r1.
Homework Equations
Electric field due to a solenoid
power due to current flowing through wire
Resistance of a wire as a function of length and cross sectional area
The Attempt at a Solution
Used P = I^2 * R
Re-arranged equation for B field of a solenoid so it was in terms of current. Substituted this equation and resistance of a wire equation into equation for power. Cant seem to make much headway after this though. any help would be appreciated.