1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Cyclotron resonance

  1. Jan 14, 2015 #1
    1. The problem statement, all variables and given/known data
    Calculate the lower limit of the electron scattering time in a material placed in a magnetic field of 1 T which is necessary to observe cyclotron resonance. The electron effective mass in the material
    is 0.06 ##m_o## (where ##m_o## is the free electron mass).


    2. Relevant equations
    ##\omega_c=\frac{eB}{0.06m_o}##
    ##\tau_{min}=\frac{2\pi}{\omega_c}##

    3. The attempt at a solution
    So I basically substituted values into ##\omega_c## and then into the equation for ##\tau_c## i got ##\tau_c=2.14ps## whereas the answer says ##\tau_c=0.54ps##, have I gone wrong? or is the solution given wrong, because i have done it multiple times.
     
  2. jcsd
  3. Jan 15, 2015 #2

    mfb

    User Avatar
    2016 Award

    Staff: Mentor

    The two answers differ by a factor of 4 (+-2%). I guess they took 1/4 of a cycle to be sufficient (some electrons won't scatter for 4 times the scattering time). There is no absolute limit, a shorter time just makes observations harder.
     
  4. Jan 15, 2015 #3
    ah okay! Thankyou very much I did notice the factor of 4 difference just wasn't sure where it came from.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted



Similar Discussions: Cyclotron resonance
  1. Cyclotron Movement (Replies: 1)

  2. Radius cyclotron (Replies: 1)

  3. Cyclotron Question (Replies: 6)

Loading...