A current is set up in a wire loop consisting of a semicircle of radius 4.12 cm, a smaller concentric semicircle, and two radial straight lengths, all in the same plane. Figure (a) shows the arrangement but is not drawn to scale. The magnitude of the magnetic field produced at the center of curvature is 47.29 µT. The smaller semicircle is then flipped over (rotated) until the loop is again entirely in the same plane (Figure (b)). The magnetic field produced at the (same) center of curvature now has magnitude 16.03 µT, and its direction is reversed. What is the radius of the smaller semicircle? (a) (b) Number i Units

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A current is set up in a wire loop consisting of a semicircle of radius 4.12 cm, a smaller concentric semicircle, and two radial straight
lengths, all in the same plane. Figure (a) shows the arrangement but is not drawn to scale. The magnitude of the magnetic field
produced at the center of curvature is 47.29 µT. The smaller semicircle is then flipped over (rotated) until the loop is again entirely in
the same plane (Figure (b)). The magnetic field produced at the (same) center of curvature now has magnitude 16.03 µT, and its
direction is reversed. What is the radius of the smaller semicircle?
(a)
(b)
Number
Units
Transcribed Image Text:A current is set up in a wire loop consisting of a semicircle of radius 4.12 cm, a smaller concentric semicircle, and two radial straight lengths, all in the same plane. Figure (a) shows the arrangement but is not drawn to scale. The magnitude of the magnetic field produced at the center of curvature is 47.29 µT. The smaller semicircle is then flipped over (rotated) until the loop is again entirely in the same plane (Figure (b)). The magnetic field produced at the (same) center of curvature now has magnitude 16.03 µT, and its direction is reversed. What is the radius of the smaller semicircle? (a) (b) Number Units
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