1. A long, straight, cylindrical copper wire with radius a carries a constant current I. Consider a segment of this wire of length L » a and resistance R. Assume that the current density is uniform and that the charge carriers have neutral net charge density. (a) Integrate the energy flux density through the surface of the wire to show that the total EM power into the surface is PR. (b) Find the total electromagnetic energy and momentum per unit length in the wire.

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1. A long, straight, cylindrical copper wire with radius a carries a constant current I. Consider a segment
of this wire of length L » a and resistance R. Assume that the current density is uniform and that the
charge carriers have neutral net charge density.
(a) Integrate the energy flux density through the surface of the wire to show that the total EM
power into the surface is PR.
(b) Find the total electromagnetic energy and momentum per unit length in the wire.
Transcribed Image Text:1. A long, straight, cylindrical copper wire with radius a carries a constant current I. Consider a segment of this wire of length L » a and resistance R. Assume that the current density is uniform and that the charge carriers have neutral net charge density. (a) Integrate the energy flux density through the surface of the wire to show that the total EM power into the surface is PR. (b) Find the total electromagnetic energy and momentum per unit length in the wire.
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