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Magnetic Fields and Forces

  • Thread starter soul5
  • Start date
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1. 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.


2. Homework Equations

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

Fm=qvB



3. The Attempt at a Solution

Fc=Fm

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

is that right?
 

Answers and Replies

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?
 

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