Radii for a circular path of a proton.

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SUMMARY

The radius of the circular path of a proton moving at 15,000 m/s in a 400 T magnetic field is calculated using the formula r = mv/qB. The correct calculation yields a radius of 0.06265 m, which converts to 62.65 mm. The initial confusion arose from the incorrect conversion of units, emphasizing the importance of precision in both calculations and problem descriptions.

PREREQUISITES
  • Understanding of the Lorentz force and circular motion principles.
  • Familiarity with the equation r = mv/qB for charged particle motion in magnetic fields.
  • Knowledge of unit conversions, particularly between meters and millimeters.
  • Basic physics concepts related to protons and magnetic fields.
NEXT STEPS
  • Study the Lorentz force and its applications in particle physics.
  • Learn about the behavior of charged particles in magnetic fields using simulations.
  • Explore advanced topics in electromagnetism, focusing on magnetic field strength and its effects.
  • Practice unit conversion techniques to avoid common mistakes in physics calculations.
USEFUL FOR

Physics students, educators, and anyone interested in understanding the motion of charged particles in magnetic fields.

Lance WIlliam
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Homework Statement



Find the radius of the circular path described by a proton moving at 15 in a plane perpendicular to a 400- magnetic field.


Homework Equations



I used the Eqn: r=mv/qB
So (1.67e-27)(15ooom/s)/(1.60e-19)(400) and I go 6.265e-2 m


but the answer is in mm so I am i correct to just say 6.265e-5
since mm is e-3 and its alrdy e-2m
is my answer even right though?
 
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I don't know the magnitude of the quantities for your problem, so I can't say if your answer is right. You didn't specify them; 400 T, 400 mT, etc.?

Anyways, your equation is correct; shift your decimal point one position to the right and you will get 62.65e-3 m, which is equivalent to 62.65 mm.

To get help quickly, try to be as clear as possible with the problem description. It takes extra time on your part, but don't forget that those who respond to your question must sacrifice their time as well to help you.
 

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