A straight wire segment of length L makes an angle of 24 degrees with respect to the x axis. The wire carries a current of 7.9 A in the direction shown in the figure. There is a magnetic field in the vicinity of the wire which points in the negative z direction with a magnitude given by B=B0(x/L)3 , where B0=6.3 T and L=4.13 m. a) What is the x component of the force on the wire segment?b) If the wire is free to rotate about the z axis, what is the magnitude of the torque on the wire segment? The image illustrates a two-dimensional coordinate system with axes labeled \(x\) and \(y\). The diagram includes the following elements:1. **Background Field**: - A series of evenly spaced "X" marks, indicating a magnetic field directed into the page, represented by the vector \(\mathbf{B(x)}\).2. **Conducting Wire**: - A thick gray line labeled \(L\) represents a conducting wire positioned at an angle within the magnetic field. - The wire makes an angle \(\theta\) with the positive \(x\)-axis.3. **Current Direction**: - An arrow labeled \(I\) on the wire shows the direction of the electric current flowing along the wire.4. **Magnetic Field Vector**: - Positioned in the upper right portion, labeled \(\mathbf{B(x)}\), indicating the magnetic field's direction into the page. This diagram likely represents a scenario of a current-carrying conductor within a magnetic field, which is a common setup when discussing the force experienced by a conductor in a magnetic field, as described by the Lorentz force law.

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Answered: A straight wire segment of length L…

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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A straight wire segment of length L makes an angle of 24 degrees with respect to the x axis. The wire carries a current of 7.9 A in the direction shown in the figure. There is a magnetic field in the vicinity of the wire which points in the negative z direction with a magnitude given by B=B₀(x/L)³ , where B₀=6.3 T and L=4.13 m.

a) What is the x component of the force on the wire segment?

b) If the wire is free to rotate about the z axis, what is the magnitude of the torque on the wire segment?

The image illustrates a two-dimensional coordinate system with axes labeled \(x\) and \(y\). The diagram includes the following elements:

1. **Background Field**:
- A series of evenly spaced "X" marks, indicating a magnetic field directed into the page, represented by the vector \(\mathbf{B(x)}\).

2. **Conducting Wire**:
- A thick gray line labeled \(L\) represents a conducting wire positioned at an angle within the magnetic field.
- The wire makes an angle \(\theta\) with the positive \(x\)-axis.

3. **Current Direction**:
- An arrow labeled \(I\) on the wire shows the direction of the electric current flowing along the wire.

4. **Magnetic Field Vector**:
- Positioned in the upper right portion, labeled \(\mathbf{B(x)}\), indicating the magnetic field's direction into the page.

This diagram likely represents a scenario of a current-carrying conductor within a magnetic field, which is a common setup when discussing the force experienced by a conductor in a magnetic field, as described by the Lorentz force law.

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