Charged particle in a magnetic field

Click For Summary
SUMMARY

A charged particle with a charge-to-mass ratio of 5.7 x 108 C/kg travels in a circular path within a magnetic field of strength 0.72 T. The relationship between magnetic force and centripetal force is established using the equation F = qvB = mv2/r. The time for one complete revolution can be calculated using the formula T = 2πr/v, where v is derived from the magnetic force equation. The discussion emphasizes the importance of recognizing fundamental relationships in physics to solve problems effectively.

PREREQUISITES
  • Understanding of magnetic force and its relation to charged particles
  • Knowledge of centripetal force and circular motion
  • Familiarity with the equations of motion in physics
  • Basic algebra for manipulating equations
NEXT STEPS
  • Study the derivation of the relationship between magnetic force and centripetal force
  • Learn about the motion of charged particles in magnetic fields
  • Explore the concept of angular velocity and its applications
  • Investigate the effects of varying magnetic field strengths on particle motion
USEFUL FOR

Students studying physics, particularly those focusing on electromagnetism and circular motion, as well as educators looking for practical examples of charged particle dynamics in magnetic fields.

Nivlac2425
Messages
53
Reaction score
0

Homework Statement


A charged particle with a charge-to-mass ratio of 5.7 x 10^8 C/kg travels on a circular path that is perpendicular to a magnetic field whose strength is .72 T.
How much time does it take for the particle to make one revolution?


Homework Equations


(Magnetic)F = qvB = (Centripetal)F = (mv^2)/r


The Attempt at a Solution


I can produce an equation for the velocity of the particle using the above equation, but how would one find the time that it takes? Hmmm, I know this is probably right in front of my face, but I'm just not seeing it... time...hmm...any hints?

Thank you everyone for even trying to help me out! :biggrin:
 
Physics news on Phys.org
v = ω*r = (2*π /T)*r
 
Hahaha! Oh, how did I not think of that! Such a fundamental idea didn't cross my mind!
Thank you for helping out, I'll have to think clearly next time!

:approve:
 

Similar threads

Circular trajectory traveled by a charged particle in a magnetic field
  • · Replies 3 ·
Replies
3
Views
2K
Making sense of sequence of ideas in MIT OCW's 8.02 notes on Faraday
  • · Replies 1 ·
Replies
1
Views
2K
A Charged Particle moving in Uniform Magnetic Field
  • · Replies 2 ·
Replies
2
Views
2K
Charged particle motion in a magnetic feild
  • · Replies 8 ·
Replies
8
Views
2K
Motion of a charged particle in magnetic field
  • · Replies 11 ·
Replies
11
Views
2K
Electromagnetic effects and Magnetic Fields Questions
  • · Replies 2 ·
Replies
2
Views
2K
Motion of a Charged Particle in Magnetic Field
  • · Replies 2 ·
Replies
2
Views
2K
What is the induced magnetic force on this closed current loop?
  • · Replies 12 ·
Replies
12
Views
2K
Why is magnetic field B along a straight wire circular not radial?
  • · Replies 14 ·
Replies
14
Views
3K
Difference in Radius of Charged Particles in Magnetic Field
  • · Replies 12 ·
Replies
12
Views
7K