A long conducting wire with a square cross-section of side length a carries a uniform electric current density J. We are interested in the component of the magnetic field tangential (parallel) to the surface of the conductor. a. What direction does the magnetic field point (cw or ccw) and what is its approximate magnitude (i.e. what is its average magnitude)? b. What method (or law) would you use to find its exact magnitude everywhere over the surface? conductor a

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Chapter1: Units, Trigonometry. And Vectors
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give answer of a and b.

Question One:
A long conducting wire with a square cross-section of side length a carries a uniform electric current
density J. We are interested in the component of the magnetic field tangential (parallel) to the surface
of the conductor.
a. What direction does the magnetic field point (cw or ccw) and what is its
approximate magnitude (i.e. what is its average magnitude)?
b. What method (or law) would you use to find its exact magnitude everywhere
over the surface?
conductor
c. Is the normal component of the magnetic field exactly zero at the surface? Why or why not?
d. If there also exists a total current I = Ja² flowing out of the page distributed uniformly over the
surface of the conductor, is the magnetic field outside the conductor zero everywhere? Why or
why not?
e. If both the volume current (into the page) and the surface current (out of the page) are present, is
the magnetic field inside the conductor clockwise, counter clockwise, or zero? Justify your answer.
Transcribed Image Text:Question One: A long conducting wire with a square cross-section of side length a carries a uniform electric current density J. We are interested in the component of the magnetic field tangential (parallel) to the surface of the conductor. a. What direction does the magnetic field point (cw or ccw) and what is its approximate magnitude (i.e. what is its average magnitude)? b. What method (or law) would you use to find its exact magnitude everywhere over the surface? conductor c. Is the normal component of the magnetic field exactly zero at the surface? Why or why not? d. If there also exists a total current I = Ja² flowing out of the page distributed uniformly over the surface of the conductor, is the magnetic field outside the conductor zero everywhere? Why or why not? e. If both the volume current (into the page) and the surface current (out of the page) are present, is the magnetic field inside the conductor clockwise, counter clockwise, or zero? Justify your answer.
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