The current-carrying wire loop in the figure on the left lies all in one plane and consists of a semicircle of radius 10 cm, a smaller semicircle with the same center, and two radial lengths. The smaller semicircle is rotated out of that plane by angle theta, until it is perpendicular to the plane. The figure on the right gives the magnitude of the net magnetic field at the center of curvature versus angle theta. The vertical scale is set by Ba = 46.960 mu T and Bb = 63.484 (c)mu T. What is the radius of the smaller semicircle?

Glencoe Physics: Principles and Problems, Student Edition
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Chapter24: Magnetic Fields
Section: Chapter Questions
Problem 83A
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The current - carrying wire loop in the figure on the left
lies all in one plane and consists of a semicircle of radius
10 cm, a smaller semicircle with the same center, and
two radial lengths. The smaller semicircle is rotated out
of that plane by angle theta, until it is perpendicular to
the plane. The figure on the right gives the magnitude
of the net magnetic field at the center of curvature
versus angle theta. The vertical scale is set by Ba
= 46.960 mu T and Bb = 63.484 (c)mu T. What is the
radius of the smaller semicircle?
ね
(a)
x
B (UT)
Вь
y
x
Boo
π/4
0 (rad)
(c)
π/2
Transcribed Image Text:The current - carrying wire loop in the figure on the left lies all in one plane and consists of a semicircle of radius 10 cm, a smaller semicircle with the same center, and two radial lengths. The smaller semicircle is rotated out of that plane by angle theta, until it is perpendicular to the plane. The figure on the right gives the magnitude of the net magnetic field at the center of curvature versus angle theta. The vertical scale is set by Ba = 46.960 mu T and Bb = 63.484 (c)mu T. What is the radius of the smaller semicircle? ね (a) x B (UT) Вь y x Boo π/4 0 (rad) (c) π/2
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