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A uniform magnetic field of magnitude 0.1 directed along the positive x axis. A positr at 5.00 x 106 m/s enters the field along a that makes an angle of 85.0° with the x ax motion of the particle is expected to be a (b) th

A uniform magnetic field of magnitude 0.1 directed along the positive x axis. A positr at 5.00 x 106 m/s enters the field along a that makes an angle of 85.0° with the x ax motion of the particle is expected to be a (b) th

College Physics
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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**Magnetic Field and Positron Motion** A uniform magnetic field of magnitude 0.150 T is directed along the positive x-axis. A positron moving at a speed of \(5.00 \times 10^6 \, \text{m/s}\) enters this field along a direction that makes an angle of 85.0° with the x-axis. The expected motion of the positron is helical. **Objective:** Calculate: - (a) the pitch \(p\) of the helix - (b) the radius \(r\) of the trajectory **Illustration Explanation:** The diagram depicts the helical path of a positron in the magnetic field: 1. **Axes:** - **x-axis**: The direction of the magnetic field \(\mathbf{B}\) (green arrow). - **y-axis and z-axis**: Define the plane perpendicular to the magnetic field. 2. **Vector \(\mathbf{v}\):** - Represents the velocity of the positron (red arrow), originating at an angle of 85.0° with the x-axis. 3. **Helical Path:** - The trajectory is a series of orange coils representing the helix. - The pitch \(p\) is the distance between turns along the x-axis. - The radius \(r\) is the circular distance from the axis of the helix to its path. This setup induces a helical path due to the perpendicular component of velocity resulting in circular motion, and the parallel component contributing to linear motion along the magnetic field direction.
Transcribed Image Text:**Magnetic Field and Positron Motion** A uniform magnetic field of magnitude 0.150 T is directed along the positive x-axis. A positron moving at a speed of \(5.00 \times 10^6 \, \text{m/s}\) enters this field along a direction that makes an angle of 85.0° with the x-axis. The expected motion of the positron is helical. **Objective:** Calculate: - (a) the pitch \(p\) of the helix - (b) the radius \(r\) of the trajectory **Illustration Explanation:** The diagram depicts the helical path of a positron in the magnetic field: 1. **Axes:** - **x-axis**: The direction of the magnetic field \(\mathbf{B}\) (green arrow). - **y-axis and z-axis**: Define the plane perpendicular to the magnetic field. 2. **Vector \(\mathbf{v}\):** - Represents the velocity of the positron (red arrow), originating at an angle of 85.0° with the x-axis. 3. **Helical Path:** - The trajectory is a series of orange coils representing the helix. - The pitch \(p\) is the distance between turns along the x-axis. - The radius \(r\) is the circular distance from the axis of the helix to its path. This setup induces a helical path due to the perpendicular component of velocity resulting in circular motion, and the parallel component contributing to linear motion along the magnetic field direction.
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