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In: Physics

False steps will be reported! No sloppy writing, please! I want to be able to see...

False steps will be reported! No sloppy writing, please! I want to be able to see and understand each step. Thank you!

A direct current I flows in a straight conductor. The cross section of a conductor is a circle with radius a and the resistivity of the conductor is ρ. The current density in the conductor is constant.

(a) Determine the electric field E (magnitude and direction) in the conductor just inside the conductor surface.

(b) Determine the magnetic flux density B (magnitude and direction) at the same point.

(c) Determine the Poynting vector S (magnitude and direction) at the same point.

(d) Consider the L-length part of the conductor. Determine the power flowing into this cylindrical volume by integrating the Poynting vector. (This must become the same than the resistive power losses of an L-length conductor P = RI ^ 2.)

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