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.

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.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

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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