Electrons in a beam of televison tube

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SUMMARY

The discussion focuses on calculating the acceleration of an electron in a television tube's magnetic field. The kinetic energy of the electrons is given as 24.0 keV, and the vertical component of Earth's magnetic field is 65.0 µT. The user initially attempts to find velocity using the kinetic energy formula and applies the Lorentz force equation, but struggles with unit conversions and the correct application of the force equation. The correct approach involves recognizing that the force is given by F = qvBsinθ, where θ is the angle between the velocity vector and the magnetic field.

PREREQUISITES
  • Understanding of kinetic energy and its conversion (24.0 keV to Joules)
  • Familiarity with the Lorentz force equation (F = qvB)
  • Knowledge of unit conversions (µT to T)
  • Basic concepts of magnetic fields and their effects on charged particles
NEXT STEPS
  • Convert kinetic energy from keV to Joules for accurate calculations
  • Learn about the Lorentz force and its application in magnetic fields
  • Study the principles of vector cross products in physics
  • Explore the effects of Earth's magnetic field on charged particles
USEFUL FOR

Physics students, electrical engineers, and anyone interested in the behavior of charged particles in magnetic fields, particularly in applications related to television technology and particle acceleration.

Gonger
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Ive got a question where I have to find the acceleration of a single electron due to the magnetic field. Now here is what I did. I tired to find Velocity using KE = .5mv^2. Solving for v. Then knowing that F=qvB and F=ma I made the equation qvb/m=a. But I can't get this to work. Is there some thing that I'm doing wrong. This is a related question with the numbers in it:
Each of the electrons in the beam of a television tube has a kinetic energy of 24.0 keV. The tube is oriented so that the electrons move horizontally from geomagnetic south to geomagnetic north. The vertical component of Earth's magnetic field points down and has a magnitude of 65.0 µT. In what direction will the beam deflect?

I think my problem is with converting uT to T for the electric field. And converting my 24 keV to J. Anyone have some help. Thanks.
 
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Gonger said:
Ive got a question where I have to find the acceleration of a single electron due to the magnetic field. Now here is what I did. I tired to find Velocity using KE = .5mv^2. Solving for v. Then knowing that F=qvB and F=ma I made the equation qvb/m=a. But I can't get this to work. Is there some thing that I'm doing wrong.
Your approach is correct except that the force is:

[tex]\vec F = q\vec v \times \vec B = qvBsin\theta[/tex]

What is the angle of [itex]\vec v[/itex] to the magnetic field?[itex]\vec B[/itex] Why not show us what you have done? It is a little hard to figure out where you may have gone wrong otherwise.

AM
 
Well, the vertical component of B was given in the problem, so I don't think you need to do the cross product. You're probably just having problems with unit converstions.
 

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