### Magnetic Field and Electron Motion #### Problem Description The uniform 30.0 mT magnetic field in the figure points in the positive \( z \)-direction. An electron enters the region of the magnetic field with a speed of \( 5.50 \times 10^6 \, \text{m/s} \) and at an angle of \( 30^\circ \) above the \( xy \)-plane. ([Figure 1](#)) #### Diagram Explanation The diagram illustrates an electron moving in a helical path within a magnetic field. The magnetic field (\( \mathbf{B} \)) is oriented along the positive \( z \)-axis. The electron's velocity (\( \mathbf{v} \)) is initially at a \( 30^\circ \) angle above the \( xy \)-plane. The spiral trajectory is defined by its radius (\( r \)) and pitch (\( p \)), which is the linear distance between two turns of the helix along the \( z \)-axis. #### Task **Part A** - **Objective:** Find the radius (\( r \)) of the electron's spiral trajectory. - **Instructions:** Enter the answer with appropriate units in the provided field. **Part B** - **Objective:** Find the pitch (\( p \)) of the electron's spiral trajectory. - **Instructions:** Enter the answer with appropriate units in the provided field. ### Additional Instructions Submit your calculations and provide answers with the correct units for evaluation. If you need to reattempt an answer, you may request it through the system interface.
### Magnetic Field and Electron Motion #### Problem Description The uniform 30.0 mT magnetic field in the figure points in the positive \( z \)-direction. An electron enters the region of the magnetic field with a speed of \( 5.50 \times 10^6 \, \text{m/s} \) and at an angle of \( 30^\circ \) above the \( xy \)-plane. ([Figure 1](#)) #### Diagram Explanation The diagram illustrates an electron moving in a helical path within a magnetic field. The magnetic field (\( \mathbf{B} \)) is oriented along the positive \( z \)-axis. The electron's velocity (\( \mathbf{v} \)) is initially at a \( 30^\circ \) angle above the \( xy \)-plane. The spiral trajectory is defined by its radius (\( r \)) and pitch (\( p \)), which is the linear distance between two turns of the helix along the \( z \)-axis. #### Task **Part A** - **Objective:** Find the radius (\( r \)) of the electron's spiral trajectory. - **Instructions:** Enter the answer with appropriate units in the provided field. **Part B** - **Objective:** Find the pitch (\( p \)) of the electron's spiral trajectory. - **Instructions:** Enter the answer with appropriate units in the provided field. ### Additional Instructions Submit your calculations and provide answers with the correct units for evaluation. If you need to reattempt an answer, you may request it through the system interface.
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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#### Diagram Explanation
The diagram illustrates an electron moving in a helical path within a magnetic field. The magnetic field (\( \mathbf{B} \)) is oriented along the positive \( z \)-axis. The electron's velocity (\( \mathbf{v} \)) is initially at a \( 30^\circ \) angle above the \( xy \)-plane. The spiral trajectory is defined by its radius (\( r \)) and pitch (\( p \)), which is the linear distance between two turns of the helix along the \( z \)-axis.
#### Task
**Part A**
- **Objective:** Find the radius (\( r \)) of the electron's spiral trajectory.
- **Instructions:** Enter the answer with appropriate units in the provided field.
**Part B**
- **Objective:** Find the pitch (\( p \)) of the electron's spiral trajectory.
- **Instructions:** Enter the answer with appropriate units in the provided field.
### Additional Instructions
Submit your calculations and provide answers with the correct units for evaluation. If you need to reattempt an answer, you may request it through the system interface.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F41ab191e-c073-40ce-8516-ced92bd98c65%2Fc33e5653-12ce-4111-a720-5af8af7536c1%2Fhg85bac_processed.png&w=3840&q=75)
Transcribed Image Text:### Magnetic Field and Electron Motion
#### Problem Description
The uniform 30.0 mT magnetic field in the figure points in the positive \( z \)-direction. An electron enters the region of the magnetic field with a speed of \( 5.50 \times 10^6 \, \text{m/s} \) and at an angle of \( 30^\circ \) above the \( xy \)-plane. ([Figure 1](#))
#### Diagram Explanation
The diagram illustrates an electron moving in a helical path within a magnetic field. The magnetic field (\( \mathbf{B} \)) is oriented along the positive \( z \)-axis. The electron's velocity (\( \mathbf{v} \)) is initially at a \( 30^\circ \) angle above the \( xy \)-plane. The spiral trajectory is defined by its radius (\( r \)) and pitch (\( p \)), which is the linear distance between two turns of the helix along the \( z \)-axis.
#### Task
**Part A**
- **Objective:** Find the radius (\( r \)) of the electron's spiral trajectory.
- **Instructions:** Enter the answer with appropriate units in the provided field.
**Part B**
- **Objective:** Find the pitch (\( p \)) of the electron's spiral trajectory.
- **Instructions:** Enter the answer with appropriate units in the provided field.
### Additional Instructions
Submit your calculations and provide answers with the correct units for evaluation. If you need to reattempt an answer, you may request it through the system interface.
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