A uniform straight cylindrical wire has length L and radius a. An electric potential difference V is maintained between the two ends of the wire such that a constant current I flows down it. (a) Find the magnitude and direction (according to the direction of current flow) of electric and magnetic field by the surface of the wire. (b) Compute the magnitude and direction of the Poynting vector by the surface of the wire. (c) Integrate the Poynting vector over the surface of the wire to find the total flow of energy/power. (d) What happens to the energy? Interpret your results.

University Physics Volume 2
18th Edition
ISBN:9781938168161
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Chapter16: Electromagnetic Waves
Section: Chapter Questions
Problem 99AP: The Poynting vector describes a flow of energy whenever electric and magnetic fields are present....
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A uniform straight cylindrical wire has length L and radius a. An electric potential difference
V is maintained between the two ends of the wire such that a constant current I flows down
it.
(a)
Find the magnitude and direction (according to the direction of current flow)
of electric and magnetic field by the surface of the wire.
(b)
Compute the magnitude and direction of the Poynting vector by the surface of
the wire.
(c)
Integrate the Poynting vector over the surface of the wire to find the total flow
of energy/power.
(d)
What happens to the energy? Interpret your results.
Transcribed Image Text:A uniform straight cylindrical wire has length L and radius a. An electric potential difference V is maintained between the two ends of the wire such that a constant current I flows down it. (a) Find the magnitude and direction (according to the direction of current flow) of electric and magnetic field by the surface of the wire. (b) Compute the magnitude and direction of the Poynting vector by the surface of the wire. (c) Integrate the Poynting vector over the surface of the wire to find the total flow of energy/power. (d) What happens to the energy? Interpret your results.
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