In: Physics
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.)