Max. magnetic force on an electron

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SUMMARY

The maximum magnetic force on an electron in a television set is determined by its acceleration through a potential difference of 17 kV and its interaction with a 0.30 T magnetic field. The force can be calculated using the equation Force = qvBsin(theta), where q is the charge of the electron, v is its velocity, and B is the magnetic field strength. After being accelerated, the electrons achieve a kinetic energy of 17 keV, which can be converted to Joules to find their velocity. Understanding the orientation of the electron beam relative to the magnetic field is crucial for determining the angle theta for maximum deflection.

PREREQUISITES
  • Understanding of electric potential and kinetic energy conversion (17 kV to Joules)
  • Familiarity with the Lorentz force equation (Force = qvBsin(theta))
  • Knowledge of basic electron properties (mass and charge)
  • Concept of magnetic fields and their effects on charged particles
NEXT STEPS
  • Learn how to convert kinetic energy from keV to Joules
  • Study the relationship between potential difference and electron velocity
  • Explore the concept of magnetic force on charged particles in different orientations
  • Investigate the principles of CRT operation and electron beam deflection
USEFUL FOR

Physics students, educators, and anyone interested in understanding the dynamics of charged particles in magnetic fields, particularly in the context of cathode ray tubes (CRTs).

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Homework Statement


In a television set, electrons are accelerated from rest through a potential difference of 17 kV. The electrons then pass through a 0.30 T magnetic field that deflects them to the appropriate spot on the screen. Find the magnitude of the maximum magnetic force that an electron can experience.



Homework Equations


Force = qvBsin(theta)

B = Force/(charge x velocity)


The Attempt at a Solution


Well i am given electrons, i know their mass (m) and charge (q). I am also told that the electron starts from rest (0 m/s) and passes through a potential difference of 17,000 Volts. Then, the electrons pass through a .30 Tesla magnetic field. I don't think i can use equation 1 because i don't know v or sin(theta) and i don't think i can use equation 2 because i don't know the velocity. I would imagine that i need to find a way to tie the potential difference into one of the above equations so i looked at a formula sheet. i just don't see anything that could tie the 2 concepts together. what am i overlooking on this one?
 
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After the electrons are accelerated through the 17kV potential of the electric field, they have a kinetic energy of 17keV. Look up the conversion from keV to Joules, and use that to find their velocity. Then all you need to do is think about how the electron beam and the deflecting magnetic field are oriented in the neck of the CRT, and that will give you your theta value for the maximum deflection force...
 
that definitely makes sense. thank you.
 

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