The current-carrying wire loop in the figure on the left lies all in one plane and consists of a semicircle of radius 18 cm, a smaller semicircle with the same center, and two radial lengths. The smaller semicircle is rotated out of that plane by angle θ, 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 θ. The vertical scale is set by Ba = 25.620 μT and Bb = 35.444 μT. What is the radius of the smaller semicircle? The image contains two diagrams labeled (a) and (b), and one graph labeled (c).**Diagram (a):**- Represents a wire loop in the yz-plane.- It consists of a semicircular wire of a larger radius and a smaller semicircular loop beneath it, both sharing the same center.- A red dot marks the center of both semicircles.**Diagram (b):**- Similar to diagram (a) but the smaller semicircular wire is positioned differently.- The smaller loop is beneath the larger semicircle but shifted closer to the yz-plane.**Graph (c):**- It plots magnetic field strength \( B \) in microteslas (\( \mu T \)) on the vertical axis against the angle \( \theta \) in radians (rad) on the horizontal axis.- The curve descends from an initial value \( B_0 \) at \( \theta = 0 \) to \( B_b \) at \( \theta = \frac{\pi}{2} \).- The graph shows how the magnetic field strength changes with the angle \( \theta \).**Description Extraction:**The text below the image appears to concern a wire loop in a single plane, consisting of a semicircle of radius 18 cm, with a smaller semicircle sharing the same center. There is also a horizontal section of wire connecting them.

It is given that the radius of the semicircle is, R=18 cm Ba=25.620 μT and Bb=35.444 μT It is…

Answered: The current-carrying wire loop in the…

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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The current-carrying wire loop in the figure on the left lies all in one plane and consists of a semicircle of radius 18 cm, a smaller semicircle with the same center, and two radial lengths. The smaller semicircle is rotated out of that plane by angle θ, 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 θ. The vertical scale is set by B_a = 25.620 μT and B_b = 35.444 μT. What is the radius of the smaller semicircle?

The image contains two diagrams labeled (a) and (b), and one graph labeled (c).

**Diagram (a):**
- Represents a wire loop in the yz-plane.
- It consists of a semicircular wire of a larger radius and a smaller semicircular loop beneath it, both sharing the same center.
- A red dot marks the center of both semicircles.

**Diagram (b):**
- Similar to diagram (a) but the smaller semicircular wire is positioned differently.
- The smaller loop is beneath the larger semicircle but shifted closer to the yz-plane.

**Graph (c):**
- It plots magnetic field strength \( B \) in microteslas (\( \mu T \)) on the vertical axis against the angle \( \theta \) in radians (rad) on the horizontal axis.
- The curve descends from an initial value \( B_0 \) at \( \theta = 0 \) to \( B_b \) at \( \theta = \frac{\pi}{2} \).
- The graph shows how the magnetic field strength changes with the angle \( \theta \).

**Description Extraction:**
The text below the image appears to concern a wire loop in a single plane, consisting of a semicircle of radius 18 cm, with a smaller semicircle sharing the same center. There is also a horizontal section of wire connecting them.

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