Charged Particle Moving in Magnetic Field

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SUMMARY

An electron accelerated through 2.4 x 105 V enters a uniform 1.7 T magnetic field, resulting in a calculated speed of 2.9 x 108 m/s. The magnetic force experienced by the electron is determined using the equation F = QvB, yielding a force of 7.89 x 1011 N. The maximum magnetic force occurs when the velocity vector is perpendicular to the magnetic field, while the minimum force occurs when they are parallel. The problem's lack of orientation details necessitates consideration of vector relationships in calculating these forces.

PREREQUISITES
  • Understanding of electromagnetic theory, specifically Lorentz force law.
  • Familiarity with kinetic energy equations, particularly QV = 0.5mv2.
  • Knowledge of vector mathematics, including cross products.
  • Basic principles of special relativity, given the high velocity of the electron.
NEXT STEPS
  • Study the Lorentz force law in detail, focusing on vector relationships.
  • Learn about the implications of special relativity on particle velocities approaching the speed of light.
  • Explore the concept of magnetic field orientation and its effects on charged particles.
  • Investigate advanced topics in electromagnetism, such as electromagnetic waves and their interactions with matter.
USEFUL FOR

Physics students, educators, and professionals in fields related to electromagnetism and particle physics will benefit from this discussion, particularly those interested in the behavior of charged particles in magnetic fields.

Gavandeshaq
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An electron is accelerated through 2.4 x 105 V from rest and then enters a uniform 1.7 T magnetic field. What are the maximum and minimum values of the magnetic force this particle
experiences?


QV = 0.5mv2
F=QvB

Basically, I've got a final value from the above equations, but I'm not sure how to get a maximum and minimum as the problem states. The first equation gives me a speed of 2.9*108
and then putting that into F=QvB gives me a force of 7.89*1011N.

Is this the maximum? Why do a maximum and minimum occur, and how do I calculate them?
 
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Note that the problem does not state the orientation of the magnetic field or the orientation of the electron's entry with respect to that field.

(Also, the resulting velocity of the electron as calculated by "Newtonian" formulas is awfully high -- nearly 97% of the speed of light. Is this problem from a course that "does" Relativity?)
 
All your equations are good. But I'm not sure what you're asking. Also as gneill said you didn't state the orientation of the field, but I'm assuming that's your variable.

Fb = qv CROSS B, v and B are vectors. Meaning that the least force your particle will experience due to B is when B is parallel to v, and the most is when B is perpendicular to B.

Make sense?
 

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