95 Figure 33-74 shows a cylindrical resistor of length l, radius a, and resis- tivity p, carrying current i. (a) Show that the Poynting vector S at the sur- face of the resistor is everywhere directed normal to the surface, as 3. shown. (b) Show that the rate P at which energy flows into the resistor through its cylindrical surface, calcu- lated by integrating the Poynting vector over this surface, is equal to the rate at which thermal energy is 3- produced: in where dA is an element of area on the cylindrical surface and R is the resistance. -2a-

College Physics
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Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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Question
95 Figure 33-74 shows a cylindrical
resistor of length l, radius a, and resis-
tivity p, carrying current i. (a) Show
that the Poynting vector S at the sur-
face of the resistor is everywhere
directed normal to the surface, as 3.
shown. (b) Show that the rate P at
which energy flows into the resistor
through its cylindrical surface, calcu-
lated by integrating the Poynting
vector over this surface, is equal to
the rate at which thermal energy is 3-
produced:
in
where dA is an element of area on
the cylindrical surface and R is the
resistance.
-2a-
Transcribed Image Text:95 Figure 33-74 shows a cylindrical resistor of length l, radius a, and resis- tivity p, carrying current i. (a) Show that the Poynting vector S at the sur- face of the resistor is everywhere directed normal to the surface, as 3. shown. (b) Show that the rate P at which energy flows into the resistor through its cylindrical surface, calcu- lated by integrating the Poynting vector over this surface, is equal to the rate at which thermal energy is 3- produced: in where dA is an element of area on the cylindrical surface and R is the resistance. -2a-
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