Magnetic Fields and Forces

  • Thread starter soul5
  • Start date
  • #1
64
0

Homework Statement


Prove that the time for one revolution of a charged particle moving perpendicular to a uniform magnetic field is independent of it's speed. Write an expression that gives the period T in terms of the mass and charge of the particle and the magnetic field strength.


Homework Equations



Fc=4*pi*^2mr/T^2

Fm=qvB



The Attempt at a Solution



Fc=Fm

v=4*pi*^2mr/T^2qB

is that right?
 

Answers and Replies

  • #2
alphysicist
Homework Helper
2,238
1
Hi soul5,

You're expressions look like they are true, but they don't answer the question. The question asks for the expression for the period, but that expresion is not supposed to have r and v in it.

If you can find a formula for the period in terms of r and v you can use that to eliminate r and v in your equation.

So let's say you have an object moving at speed v in a circular path of radius r. What is the period (time to go once around the circle)? Once you have that, use it to eliminate r and v. What do you get?
 

Related Threads on Magnetic Fields and Forces

  • Last Post
Replies
11
Views
10K
  • Last Post
Replies
3
Views
4K
  • Last Post
Replies
1
Views
802
  • Last Post
2
Replies
25
Views
569
  • Last Post
Replies
10
Views
517
  • Last Post
Replies
7
Views
439
  • Last Post
Replies
2
Views
6K
  • Last Post
Replies
0
Views
1K
  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
8
Views
6K
Top