Maximum velocity of charged particles

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SUMMARY

The maximum velocity of a charged particle in an electric field is determined by the configuration of the chamber. When the chamber has insulating sides, the particle experiences no electric field, resulting in zero velocity. Conversely, with conductive sides, the kinetic energy acquired by the particle can be calculated using the equation KE = qV = 1/2 mv², allowing for a maximum velocity derived from the voltage V and the charge q of the particle.

PREREQUISITES
  • Understanding of electric fields and forces
  • Familiarity with kinetic energy equations
  • Knowledge of charged particle dynamics
  • Basic principles of electrostatics
NEXT STEPS
  • Study the relationship between electric field strength and particle acceleration
  • Learn about the effects of different materials on electric fields
  • Explore the concept of potential energy in electric fields
  • Investigate the behavior of charged particles in conductive versus insulating environments
USEFUL FOR

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

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Homework Statement



A particle, with a charge +q and a mass, m, is inserted into an evacuated chamber. The chamber is placed between two parallel metal plates that are a distance d apart, and are connectd to the terminals of a power supply that provide V volts (one plate to the positive terminal and one plate to the negative terminal.)

A. What is the maximum velocity that the field could give to the particle when the chamber is constructed so that the sides connecting the plates are insulating?

B. What is the maximum velocity that the field could give to the particle when the chamber is constructed so that the sides connecting the plates are good conductors?

Homework Equations



F=k*(q1*q2)/(d^2^)
[I'm not sure if this is what I need or not?]

The Attempt at a Solution



Would the velocity of the insulating plates be zero, since they don't allow charged particles to move through them?

I could use some help please. Thanks!
 
Physics news on Phys.org
Inside the box made up of metal, there will be no electric field. So the charged particle will not experience any force.
In the insulated box KE acquired by the charged particle is equal to q*V = 1/2*m*v^2
 

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