How Do Magnetic and Gravitational Forces Affect Electron Acceleration?

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SUMMARY

The discussion focuses on calculating the acceleration of electrons influenced by both gravitational and magnetic forces. The kinetic energy of the electrons is given as 2.10 x 10-15 J, and their initial velocity is calculated to be 6.182 m/s. The Earth's magnetic field, with a strength of 1.00 x 10-5 T, plays a crucial role in determining the forces acting on the electrons. Participants emphasize the necessity of combining both gravitational and magnetic forces to accurately compute the total force and, subsequently, the acceleration of the electrons.

PREREQUISITES
  • Understanding of kinetic energy calculations using the formula 0.5mv2
  • Familiarity with magnetic force equations, specifically F = qvBsin(theta)
  • Knowledge of gravitational force and its impact on particles
  • Basic principles of electromagnetism and particle motion
NEXT STEPS
  • Study the derivation and application of the Lorentz force equation in particle physics
  • Explore the effects of gravitational force on subatomic particles in various environments
  • Learn about the principles of electromagnetic fields and their interaction with charged particles
  • Investigate the role of acceleration in the context of particle beams in television tubes
USEFUL FOR

Physics students, electrical engineers, and anyone interested in the dynamics of charged particles in electromagnetic fields.

j91621
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Acceleration of electron??

Please atleast help me by explaining what I should do. I have found velocity by setting kenetic energy to .5mv^2 and used the mass of an electron for the mass and found that velocity is 6.182. Next i set mass x gravity=qvbsin(theta) and apparently whatever i did from here is wrong. Thanks for your help.

The electrons in the beam of a television tube have a kinetic energy of 2.10 10-15 J. Initially, the electrons move horizontally from west to east. The vertical component of the Earth's magnetic field points down, toward the surface of the earth, and has a magnitude of 1.00 10-5 T.
What is the acceleration of an electron in part (a)?
 
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The electrons are initially moving perpendicularly to the field - so sin(theta) = 1. Is that what you did and you still got the wrong answer?
 
j916 - I didn't realize what you were doing the first time. There are two forces at play here - the magnetic and the graviational - what you want to do is set the total force equal to the combination of both of them, and then find the acceleration from that total force.
 

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