An electron moves in a uniform magnetic field as shown below. Find the direction of the force on the particle. Down To the left Up To the right into the page out of the page
An electron moves in a uniform magnetic field as shown below. Find the direction of the force on the particle. Down To the left Up To the right into the page out of the page
Related questions
Question
![### Understanding the Direction of Force on an Electron in a Magnetic Field
**Problem Statement:**
An electron moves in a uniform magnetic field as shown below. Find the direction of the force on the particle.
**Diagram Explanation:**
- The diagram shows an electron (depicted by a negative sign) moving with a velocity (\(\vec{v}\)) directed upwards.
- The magnetic field is represented by horizontal blue arrows pointing from left to right across the page.
**Choices:**
- Down
- To the left
- Up
- To the right
- Into the page
- Out of the page
**Conceptual Explanation:**
Electrons are negatively charged particles, and their motion in a magnetic field is subject to the Lorentz force which is given by the formula:
\[
\vec{F} = q(\vec{v} \times \vec{B})
\]
Where:
- \(\vec{F}\) is the force vector.
- \(q\) is the charge of the particle.
- \(\vec{v}\) is the velocity vector of the charged particle.
- \(\vec{B}\) is the magnetic field vector.
For an electron, the charge (\(q\)) is negative. Therefore, the direction of the force is opposite to what would be expected for a positively charged particle.
**Using the Right-Hand Rule:**
1. Point your fingers in the direction of the velocity (\(\vec{v}\)), which is upwards.
2. Bend your fingers in the direction of the magnetic field (\(\vec{B}\)), which is to the right.
3. Your thumb points in the direction of the force for a positive charge.
4. For an electron (negative charge), the force direction is opposite to your thumb's direction.
**Conclusion:**
The force on the electron is directed **out of the page**.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F070e8b65-931e-44e7-bfb4-6d69e5ced655%2F031efdf5-b739-4a36-97b1-635e1183be3d%2Fdemhurs_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Understanding the Direction of Force on an Electron in a Magnetic Field
**Problem Statement:**
An electron moves in a uniform magnetic field as shown below. Find the direction of the force on the particle.
**Diagram Explanation:**
- The diagram shows an electron (depicted by a negative sign) moving with a velocity (\(\vec{v}\)) directed upwards.
- The magnetic field is represented by horizontal blue arrows pointing from left to right across the page.
**Choices:**
- Down
- To the left
- Up
- To the right
- Into the page
- Out of the page
**Conceptual Explanation:**
Electrons are negatively charged particles, and their motion in a magnetic field is subject to the Lorentz force which is given by the formula:
\[
\vec{F} = q(\vec{v} \times \vec{B})
\]
Where:
- \(\vec{F}\) is the force vector.
- \(q\) is the charge of the particle.
- \(\vec{v}\) is the velocity vector of the charged particle.
- \(\vec{B}\) is the magnetic field vector.
For an electron, the charge (\(q\)) is negative. Therefore, the direction of the force is opposite to what would be expected for a positively charged particle.
**Using the Right-Hand Rule:**
1. Point your fingers in the direction of the velocity (\(\vec{v}\)), which is upwards.
2. Bend your fingers in the direction of the magnetic field (\(\vec{B}\)), which is to the right.
3. Your thumb points in the direction of the force for a positive charge.
4. For an electron (negative charge), the force direction is opposite to your thumb's direction.
**Conclusion:**
The force on the electron is directed **out of the page**.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images
