Torque on a charged particle moving in a circle in a uniform B field

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SUMMARY

The discussion centers on calculating the maximum torque exerted on a charged particle moving in a circular path within a uniform magnetic field of 1.00 T. The particle, with charge q = e, travels at a speed of 2.350×107 m/s and has a radius of 0.44 m. The mass of the particle was calculated to be approximately 2.999E-27 kg using the equation m = rqB / v. The key takeaway is to treat the moving charge as a current loop to determine the torque, emphasizing the relationship between torque, magnetic moment, and current loops in magnetic fields.

PREREQUISITES
  • Understanding of magnetic fields and forces
  • Knowledge of current loops and their properties
  • Familiarity with torque calculations in physics
  • Basic principles of electromagnetism
NEXT STEPS
  • Research the concept of torque on a current loop in a magnetic field
  • Study the magnetic moment of a current loop and its significance
  • Explore the relationship between current, charge, and magnetic fields
  • Learn about the applications of charged particles in magnetic fields
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This discussion is beneficial for physics students, educators, and anyone interested in understanding the dynamics of charged particles in magnetic fields, particularly in the context of electromagnetism and torque calculations.

ganondorf29
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Homework Statement



A particle of charge q = e moves in a circle of radius = 0.44 m with speed v = 2.350×107 m/s. Treating the circular path as a current loop with constant current equal to its average current, find the maximum torque exerted on the loop by a uniform magnetic field of magnitude B = 1.00 T.

Homework Equations



R=mv/qB

The Attempt at a Solution



I'm stuck and I don't really know where to go. I did find the mass by the following equation:
m = rqB / v
m = 0.44 * 1.602E-19 * 1 / 2.35E7
m = 2.999E-27 kg

I could also find KE but I'm not sure what to do with either of these two. How does torque relate to magnetism?
 
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ganondorf29 said:
I'm stuck and I don't really know where to go. I did find the mass by the following equation:
m = rqB / v
m = 0.44 * 1.602E-19 * 1 / 2.35E7
m = 2.999E-27 kg
You are solving a different problem. Realize that the given magnetic field is not the field that is making the charge go in a circle.

Treat the moving charge as a current loop. (What's the average current?) A current loop placed in a magnetic field will experience a torque. Look up: torque on a current loop, magnetic moment of a current loop.
 

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