Electron Through a Magnetic Field

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SUMMARY

An electron traveling North at a speed of 8.9x10^6 m/s enters a magnetic field of strength 0.069 T directed East. The Lorentz force acting on the electron, determined using the left-hand rule, points vertically upwards. Consequently, the electron's orbit lies in a vertical plane that contains or is parallel to the North-South axis, confirming that the magnetic force induces a centripetal motion in this orientation.

PREREQUISITES
  • Understanding of the Lorentz force and its application to charged particles.
  • Familiarity with the left-hand rule for determining force direction.
  • Knowledge of centripetal force and its role in circular motion.
  • Basic principles of electromagnetism, particularly magnetic fields and their effects on moving charges.
NEXT STEPS
  • Study the Lorentz force equation in detail to understand its implications for charged particles.
  • Learn about the right-hand rule for comparison and its applications in different contexts.
  • Explore the concept of circular motion and centripetal acceleration in electromagnetic fields.
  • Investigate the behavior of other charged particles in magnetic fields, such as protons and ions.
USEFUL FOR

Students and educators in physics, particularly those focusing on electromagnetism and particle motion in magnetic fields.

Jimbo57
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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.
 
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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.
 
Thank you for confirming gneill!
 

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