(a) A filament is formed into a circle of radius a, centered at the origin in the plane z = 0. direction. Find H at the origin. It carries a current / in the (b) A second filament current is shaped into a square in the z = 0 plane. The sides are parallel to the coordinate axes and a current I flows in the general direction. Determine the side length b (in terms of a), such that at the origin is the same magnitude as that of the circular loop of part (a).

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Additional Topics In Trigonometry
Section: Chapter Questions
Problem 43CT
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(a) A filament is formed into a circle of radius a, centered at the origin in the plane z = 0.
It carries a current / in the direction. Find ♬ at the origin.
(b) A second filament current is shaped into a square in the z = 0 plane. The sides are
parallel to the coordinate axes and a current I flows in the general direction.
Determine the side length b (in terms of a), such that at the origin is the same
magnitude as that of the circular loop of part (a).
Transcribed Image Text:(a) A filament is formed into a circle of radius a, centered at the origin in the plane z = 0. It carries a current / in the direction. Find ♬ at the origin. (b) A second filament current is shaped into a square in the z = 0 plane. The sides are parallel to the coordinate axes and a current I flows in the general direction. Determine the side length b (in terms of a), such that at the origin is the same magnitude as that of the circular loop of part (a).
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