Electron Through a Magnetic Field

In summary, an electron traveling North with a speed of 8.9x10^6 m/s enters a magnetic field of strength 0.069 T pointing East. The Lorentz force on the electron will initially point vertically upwards and will cause the electron to orbit vertically along the North-South plane. The center of the orbit lies in a vertical plane containing or parallel to the North-South axis.
  • #1
Jimbo57
96
0

Homework Statement


An electron traveling North with a speed of 8.9x10^6 m/s enters a magnetic field of strength 0.069 T pointing East.

In what plane (upward and North-South, upward and East-West, or horizontal) does the electron's orbit lie?

Homework Equations


The Attempt at a Solution



Since it's an electron, I would normally use the left hand rule to determine the direction of the force acting on the electron which would be upwards. I just don't understand my options. Since it's already traveling along the North-South, would the magnetic force cause the electron to orbit vertically along the North-South since the force is always centripetal? That's what I would guess, but I'm not very confident with that answer.
 
Physics news on Phys.org
  • #2
Your analysis looks okay. As you say, the Lorentz force on the electron will (initially) point vertically upwards. Since centripetal force points towards the center of the orbit, the center lies in a vertical plane containing (or at least parallel to) the N/S axis.
 
  • #3
Thank you for confirming gneill!
 

1. What is an electron through a magnetic field?

An electron through a magnetic field refers to the movement of an electron in the presence of a magnetic field. When an electron travels through a magnetic field, it experiences a force that causes it to move in a circular path perpendicular to the direction of the magnetic field. This phenomenon is known as the Lorentz force.

2. How does the magnetic field affect the electron's motion?

The magnetic field exerts a force on the electron, causing it to move in a circular path. The strength of the magnetic field and the speed of the electron determine the radius of the circular path. The direction of the force is always perpendicular to both the direction of motion and the direction of the magnetic field.

3. What is the relationship between the magnetic field and the electron's charge?

The magnetic field affects the electron's motion because the electron has an electric charge. Moving charges, such as electrons, create magnetic fields. Therefore, when an electron moves through a magnetic field, it creates a force that affects its motion.

4. How is the direction of the force on an electron determined?

The direction of the force on an electron in a magnetic field is determined by the right-hand rule. If you point your thumb in the direction of the electron's motion and your fingers in the direction of the magnetic field, then the direction your palm faces represents the direction of the force on the electron.

5. What are some real-world applications of the electron through a magnetic field phenomenon?

The electron through a magnetic field phenomenon is used in various technologies, such as electric motors, generators, and particle accelerators. It is also essential in medical imaging, such as MRI machines, where the magnetic field is used to create images of the body's internal structures. Additionally, the Earth's magnetic field plays a crucial role in protecting us from harmful solar radiation.

Similar threads

  • Introductory Physics Homework Help
2
Replies
40
Views
898
  • Introductory Physics Homework Help
Replies
1
Views
947
  • Introductory Physics Homework Help
Replies
7
Views
1K
  • Introductory Physics Homework Help
Replies
6
Views
742
  • Introductory Physics Homework Help
Replies
18
Views
1K
  • Introductory Physics Homework Help
Replies
3
Views
947
  • Other Physics Topics
Replies
17
Views
2K
  • Introductory Physics Homework Help
Replies
5
Views
1K
  • Introductory Physics Homework Help
Replies
2
Views
1K
  • Introductory Physics Homework Help
Replies
18
Views
4K
Back
Top