B screen D-
Related questions
Question
![---
**An electron of mass \(m\) and charge \(-e\) is moving through a uniform magnetic field \(\vec{B} = (B_x, 0, 0)\) in vacuum.**
At the origin, it has velocity \(\vec{v} = (v_x, v_y, 0)\), where \(v_x > 0\) and \(v_y > 0\). A screen is mounted perpendicular to the x-axis at a distance \(D\) from the origin.
Throughout, you can assume that the effect of gravity is negligible.
**Figure**
- The figure shows a diagram illustrating the electron's path. The magnetic field \(\vec{B}\) is directed along the x-axis. The electron is initially moving with velocity \(\vec{v}\) and is shown approaching a screen positioned at distance \(D\) along the x-axis.
---
**Part A**
- **Prompt:** First, suppose \(B_x = 0\). Find the \(y\) coordinate \(y\) of the point at which the electron strikes the screen.
- **Instruction:** Express your answer in terms of \(D\) and the velocity components \(v_x\) and \(v_y\).
\[ y = \]
---
**Part B**
- **Scenario:** Now suppose \(B_x > 0\), and another electron is projected in the same manner. Which of the following is the most accurate qualitative description of the electron's motion once it enters the region of nonzero magnetic field?
1. The electron decelerates before coming to a halt and turning around while always moving along a straight line.
2. ...
---](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe63b0837-e0a8-4096-9ef5-0f04968ad724%2Fde009d47-8d03-4d99-856a-d09af2bc943b%2Fjby3c9q_processed.jpeg&w=3840&q=75)
Transcribed Image Text:---
**An electron of mass \(m\) and charge \(-e\) is moving through a uniform magnetic field \(\vec{B} = (B_x, 0, 0)\) in vacuum.**
At the origin, it has velocity \(\vec{v} = (v_x, v_y, 0)\), where \(v_x > 0\) and \(v_y > 0\). A screen is mounted perpendicular to the x-axis at a distance \(D\) from the origin.
Throughout, you can assume that the effect of gravity is negligible.
**Figure**
- The figure shows a diagram illustrating the electron's path. The magnetic field \(\vec{B}\) is directed along the x-axis. The electron is initially moving with velocity \(\vec{v}\) and is shown approaching a screen positioned at distance \(D\) along the x-axis.
---
**Part A**
- **Prompt:** First, suppose \(B_x = 0\). Find the \(y\) coordinate \(y\) of the point at which the electron strikes the screen.
- **Instruction:** Express your answer in terms of \(D\) and the velocity components \(v_x\) and \(v_y\).
\[ y = \]
---
**Part B**
- **Scenario:** Now suppose \(B_x > 0\), and another electron is projected in the same manner. Which of the following is the most accurate qualitative description of the electron's motion once it enters the region of nonzero magnetic field?
1. The electron decelerates before coming to a halt and turning around while always moving along a straight line.
2. ...
---
Transcribed Image Text:**Part B**
Now suppose \( B_x > 0 \), and another electron is projected in the same manner. Which of the following is the most accurate qualitative description of the electron's motion once it enters the region of nonzero magnetic field?
- \( \circ \) The electron decelerates before coming to a halt and turning around while always moving along a straight line.
- \( \circ \) The electron's motion will be unaffected. (It will continue moving in a straight line with the same constant velocity.)
- \( \circ \) The electron moves in a circle in the xy plane.
- \( \circ \) The electron moves along a helical path about an axis parallel to the field lines with constant radius and constant velocity in the x direction.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
