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A cylindrical conductor with a circular cross section has a radius a and a resistivity r and carries a constant current I.
(a) What are the magnitude and direction of the electric-field vector E→ at a point just inside the wire at a distance a from the axis?
(b) What are the magnitude and direction of the magnetic-field vector B→ at the same point? (
c) What are the magnitude and direction of the Poynting vector S→ at the same point? (The direction of S→ is the direction in which
(d) Use the result in part (c) to find the rate of flow of energy into the volume occupied by a length l of the conductor. (Hint: Integrate S→ over the surface of this volume.) Compare your result to the rate of generation of thermal energy in the same volume. Discuss why the energy dissipated in a current-carrying conductor, due to its resistance, can be thought of as entering through the cylindrical sides of the conductor
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