B-field question Lorentz's force

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    B-field Force
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SUMMARY

The discussion revolves around the application of Lorentz's force on an electron moving through a magnetic field. Participants analyze the forces acting on the electron, concluding that the Lorentz force acts as the centripetal force, leading to uniform circular motion. The key equations derived include the relationship between velocity, radius, and magnetic field strength, specifically v = rqB/m. The change in kinetic energy (KE) is determined to be zero due to the nature of the Lorentz force, which does no work on the electron.

PREREQUISITES
  • Understanding of Lorentz force and its implications in electromagnetism
  • Familiarity with circular motion and centripetal force concepts
  • Knowledge of basic kinematics and energy conservation principles
  • Ability to manipulate equations involving charge, mass, and magnetic fields
NEXT STEPS
  • Study the derivation of the Lorentz force equation F = q(v × B)
  • Learn about the implications of uniform circular motion in magnetic fields
  • Explore the concept of work done by forces and its relation to kinetic energy
  • Investigate the behavior of charged particles in varying magnetic field strengths
USEFUL FOR

Students and educators in physics, particularly those focusing on electromagnetism and motion of charged particles in magnetic fields. This discussion is beneficial for anyone preparing for exams or needing clarification on Lorentz force applications.

  • #31
Ah Yes, the m lol
 
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  • #32
Are we squared away?

You should be able to give a numerical answer.
 
  • #33
a) 1.79 x 10^-8s

b) 5.63 x 10^-18J

Unless I made a mistake typing in my numbers.Sammy, I also noticed that you could do this

The arc length is \pi (2.00 \times 10^-2)

The speed is then

\frac{\pi (2.00 \times 10^-2)}{1.79 \times 10^-8}

Then I also get the same KE!
 
  • #34
Also, Sammy, when I calculated the velocity I used the average velocity formula and I forgot to divide it by 2. I should have used the change in velocity. My question, how come they don't give the same answer?
 
  • #35
The speed doesn't change.
 

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