Results 1 to 2 of 2

Math Help - Circular Motion in B field

  1. #1
    Newbie
    Joined
    Mar 2011
    Posts
    23

    Circular Motion in B field

    Again, thanks in advance for the help!

    We have two charged particles of equal mass travelling along circular orbits in a region of uniform, constant magnetic field. Particle 1 has a radius of orbit r1 = 5 cm and a speed of v1=10^5 m/s. Particle 2 has Q2=2*Q1, and KE2=2*KE1.

    What is the radius of orbit for R2?

    I think in this situation r1=sqrt(2)r2

    r2=sqrt(KE1*m1)/q1B
    r1=sqrt(2*KE1*m1)/q1B
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Senior Member
    Joined
    Nov 2010
    From
    Clarksville, ARk
    Posts
    398
    Quote Originally Posted by profound View Post
    Again, thanks in advance for the help!

    We have two charged particles of equal mass traveling along circular orbits in a region of uniform, constant magnetic field. Particle 1 has a radius of orbit r1 = 5 cm and a speed of v1=10^5 m/s. Particle 2 has Q2=2*Q1, and KE2=2*KE1.

    What is the radius of orbit for R2?

    I think in this situation r1=sqrt(2)r2

    r2=sqrt(KE1*m1)/q1B
    r1=sqrt(2*KE1*m1)/q1B
    The centripetal force on each particle is provided by the magnetic force.

    Centripetal force is proportional to velocity squared and inversely proportional to the radius. Velocity squared is proportional to K.E.

    Therefore: The radius is directly proportional to K.E. and inversely proportional to the magnetic force.

    Meanwhile, the magnetic force is directly proportional to both charge and velocity.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Circular motion.
    Posted in the Trigonometry Forum
    Replies: 1
    Last Post: May 11th 2011, 08:26 PM
  2. Circular Motion
    Posted in the Math Topics Forum
    Replies: 2
    Last Post: October 20th 2010, 09:25 AM
  3. Circular Motion.
    Posted in the Advanced Applied Math Forum
    Replies: 11
    Last Post: June 24th 2010, 04:58 AM
  4. Circular motion?
    Posted in the Advanced Applied Math Forum
    Replies: 5
    Last Post: December 28th 2008, 08:52 PM

Search Tags


/mathhelpforum @mathhelpforum