How Does a 19kV Potential Difference Affect Electron Deflection in TVs?

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SUMMARY

The discussion focuses on calculating the maximum magnetic force experienced by an electron in a television set, where electrons are accelerated through a potential difference of 19kV and then deflected by a 0.28T magnetic field. The relevant equation for magnetic force is F=qvBsin(theta), where q is the charge of the electron, v is its velocity, and B is the magnetic field strength. The kinetic energy gained by the electrons is given by eV, allowing for the determination of their speed as they transition from the electric field to the magnetic field. The maximum magnetic force occurs when sin(theta) equals 1, enabling a straightforward calculation of F.

PREREQUISITES
  • Understanding of electric potential and kinetic energy relationships
  • Familiarity with the equation for magnetic force (F=qvBsin(theta))
  • Knowledge of electron charge (e) and its significance in calculations
  • Basic principles of electromagnetism, particularly the interaction of charged particles with magnetic fields
NEXT STEPS
  • Calculate the speed of an electron after being accelerated through a 19kV potential difference
  • Explore the implications of varying magnetic field strengths on electron trajectories
  • Investigate the effects of different potential differences on electron deflection in CRTs
  • Learn about the principles of electron beam technology in cathode ray tubes (CRTs)
USEFUL FOR

Physics students, electrical engineers, and anyone interested in the principles of electron dynamics in magnetic fields, particularly in the context of television technology.

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Homework Statement


In a television set, electrons are accelerated from rest through a potential difference of 19kV. The electrons then pass through a 0.28T 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



F=qvBsin(theta)
E=-V/x

The Attempt at a Solution


I am trying to figure out where the potential difference comes into play but am not sure because E and x are not given. Any hints would be great, thanks.
 
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When the electrons are accelerated across the potential given, they gain kinetic energy =eV, where e is the charge on the electron. Using this, you can find the speed of the electron once it leaves the electric field and enters the magnetic field.

Then, the maximum magnetic force will be when sin(theta)=1. The speed you know, the magnetic field strength you know, and q=e=charge on electon. Solve for F.
 

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