Figure 33-74 shows a cylindrical resistor of length l, radius a, and resistivity r
Chapter 33, Problem 95(choose chapter or problem)
Figure 33-74 shows a cylindrical resistor of length l, radius a, and resistivity r, carrying current i. (a) Show that the Poynting vector at the surface of the resistor is everywhere directed normal to the surface, as shown. (b) Show that the rate P at which energy flows into the resistor through its cylindrical surface, calculated by integrating the Poynting vector over this surface, is equal to the rate at which thermal energy is produced: i 2 R, where is an element of area on the cylindrical surface and R is the resistance. iiS SS SS SS S2aFigure 33-74 95.
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