What Happens to a Proton in a Magnetic Field?

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SUMMARY

A proton moving at a speed of 3.7 x 106 m/s in a magnetic field of 0.45 T experiences a magnetic force calculated using the formula F = qvB, resulting in a force of 2.67 x 10-13 N. The radius of the circular motion of the proton is determined using r = mv/qB, yielding a radius of 0.086 m. The direction of the magnetic force is perpendicular to both the velocity of the proton and the magnetic field, as indicated by the right-hand rule. The calculations provided are confirmed to be correct, except for the initial assumption regarding the direction of the magnetic field.

PREREQUISITES
  • Understanding of the right-hand rule for magnetic forces
  • Familiarity with the Lorentz force equation F = qvB
  • Knowledge of circular motion concepts in physics
  • Basic understanding of proton properties, including charge and mass
NEXT STEPS
  • Explore the implications of magnetic fields on charged particles
  • Learn about the applications of the Lorentz force in particle accelerators
  • Investigate the effects of varying magnetic field strengths on particle motion
  • Study the principles of electromagnetic induction and its relation to moving charges
USEFUL FOR

Students studying electromagnetism, physics educators, and anyone interested in the behavior of charged particles in magnetic fields.

shanie
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Homework Statement


A proton with the speed 3.7*10^6 m/s is moving in a magnetic field, parallel to the field.
The magnetic B-force is 0.45T.

a)Draw a figure that shows the proton in the magnetic field. Indicate the direction of the proton's velocity, the direction of the magnetic field and the direction of the magnetic force.
b) Determine the magnetic force.
c) Determine the radius of the circular motion that the proton will make.

Homework Equations


a) Using the right hand rule
b) F= qvB
c) r= mv/qB

The Attempt at a Solution


a) The picture I drew looked like this
http://img134.imageshack.us/img134/3895/namnls1hx8.png

where v is the direction of velocity, Fm the magnetic force and the B-force is the cross going into the paper.
b) F = (1.602*10^-19)*3.7*10^6*0.45=2.67*10^-13 N
c) r=mv/qB=[(1.673*10^-27)*(3.7*10^6)]/[(1.602*10^-19)*0.45]
r=0.086 m

Could anyone tell me if this is correct? I would really appreciate some help!
 
Last edited by a moderator:
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A proton with the speed 3.7*10^6 m/s is moving in a magnetic field, parallel to the field.The magnetic B-force is 0.45T.

It should be perpendicular to the field.
Rest of the calculation is correct
 

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