Homework Help is Here – Start Your Trial Now!
Science
Physics
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)...
See similar textbooks
icon
Related questions
Question
100%

Please show all work. (Actual values, equations, and drawings)

**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.
Expert Solution
steps

Step by step

Solved in 3 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Magnetic field
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON
SEE MORE TEXTBOOKS