Field and Orbital Frequency Calculation

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SUMMARY

The discussion focuses on calculating the change in angular frequency (dw) of a charged particle moving in a circular orbit under the influence of both electric and magnetic fields. The initial angular frequency is defined by the equation ω₀² = qQ/(4π(ε₀)mR³). When a uniform magnetic field (B) is applied perpendicular to the orbit, the angular frequency changes to ω₀ + dw. The participants emphasize the need to account for the Lorentz force and the induced electromotive force (EMF) due to the magnetic field, which affects the particle's kinetic energy.

PREREQUISITES
  • Understanding of classical mechanics, specifically circular motion.
  • Familiarity with electromagnetic theory, particularly the Lorentz force.
  • Knowledge of Coulomb's law and electric fields.
  • Basic grasp of angular frequency and its calculations.
NEXT STEPS
  • Study the derivation of angular frequency in charged particle motion in electric fields.
  • Learn about the effects of magnetic fields on charged particles, focusing on the Lorentz force.
  • Explore the concept of induced EMF in changing magnetic fields and its implications on kinetic energy.
  • Review the principles of cyclotron motion and its applications in physics.
USEFUL FOR

Students and professionals in physics, particularly those studying electromagnetism and classical mechanics, as well as researchers working on particle dynamics in electromagnetic fields.

brad sue
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Hi, I have this problem that is very difficult for me and I really need some help:

A particle of charge -q and mass m moves in a circular orbital of radius R about a fixed charge Q. The angular frequency for the orbit is given by

wo^2=qQ/(4*pi*(epsilon zero)*m*R^3)

An uniform magnetic field of magnitude B in a direction prependicular to the plane of the orbit is turned on. As a result, the angular frequencyis changed to wo+dw.
Assuming that B is sufficiently small so that products of B and dw can be neglected, calculate dw.
Please can I have some suggestion to start this problem?

Thank you

B
 
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I'm not sure whether the problem intends for you to consider this but the addition of the magnetic field changes the kinetic energy of the charge due to the induced EMF of a changing magnetic field.
 

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