Magnitude of the angular momentum?

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SUMMARY

The discussion centers on calculating the angular momentum of a charged particle moving in a circular orbit under the influence of a magnetic field. The particle has a charge of 6.40 x 10-19 C and orbits with a radius of 4.68 mm in a magnetic field of 1.65 T. While the linear momentum was successfully calculated using a relevant equation, the participants struggled to find the appropriate equation for angular momentum, with one suggesting the formula L = Iω, but questioning the relevance of moment of inertia in this context.

PREREQUISITES
  • Understanding of circular motion and forces in magnetic fields.
  • Familiarity with the concepts of linear momentum and angular momentum.
  • Knowledge of the equation L = Iω and its components.
  • Basic physics principles related to charged particles in magnetic fields.
NEXT STEPS
  • Research the derivation of angular momentum for charged particles in magnetic fields.
  • Study the relationship between linear momentum and angular momentum in circular motion.
  • Explore the application of the Lorentz force in circular motion scenarios.
  • Learn about the conservation of angular momentum in closed systems.
USEFUL FOR

Physics students, educators, and anyone interested in the dynamics of charged particles in magnetic fields will benefit from this discussion.

erik-the-red
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Question:

A particle with charge 6.40 * 10^(-19) C travels in a circular orbit with radius 4.68 mm due to the force exerted on it by a magnetic field with magnitude 1.65 T and perpendicular to the orbit.

It then asks for the linear and angular momentum.

I got the linear momentum by using an equation I found in the text. But I didn't find any equation for the angular momentum, and that is where I'm stuck at.
 
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Let's start with a definition: http://scienceworld.wolfram.com/physics/AngularMomentum.html" .
 
Last edited by a moderator:
radou, thanks a lot. I was thinking about [tex]L = I\omega[/tex], but I thought that calculating the moment of inertia was probably not the right thing to do in this problem.
 

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