Comparing KE of Electron & Alpha Particle w/ Same R of Curvature

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SUMMARY

The discussion focuses on comparing the kinetic energy (KE) of an electron and an alpha particle when both are subjected to the same radius of curvature in a magnetic field. The relevant equations provided are qvB = mv²/r and KE = 1/2 mv². The user inquires whether these equations should be set equal for both particles to derive a solution. The consensus is that both equations are correct and can be utilized to find the relationship between the kinetic energies of the two particles under the specified conditions.

PREREQUISITES
  • Understanding of magnetic fields and forces on charged particles
  • Familiarity with the equations of motion for charged particles in magnetic fields
  • Knowledge of kinetic energy calculations
  • Basic principles of particle physics, specifically regarding electrons and alpha particles
NEXT STEPS
  • Study the derivation of kinetic energy equations for charged particles in magnetic fields
  • Learn about the Lorentz force and its application to charged particles
  • Explore the differences in mass and charge between electrons and alpha particles
  • Investigate the implications of radius of curvature in particle motion within magnetic fields
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone preparing for the PE exam, particularly those focusing on electromagnetism and particle dynamics.

doggitz
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Homework Statement



Suppose that I want to compare the Kinetic Energy of an electron to the Kinetic Energy of an alpha particle if they both have the same radius of curvature in a magnetic field.

Homework Equations



qvB = mv^2/r
KE = 1/2 mv^2

The Attempt at a Solution



I am studying for my PE and I have run across this problem. I just want to know if the equations that I show are the correct ones for this problem. I am wondering if I have to set two (2) versions of these equations equal to each other (one for electron -- one for a-particle) ??

If anyone has a solution then please share it with me.
 
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