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!

Electric Current of an Orbiting Electron

  1. Jan 13, 2017 #1
    1. The problem statement, all variables and given/known data
    The question is based on the Bohr model with an electron with charge e and mass m orbiting a proton about a circular radius r.

    I have to find k in the equation I = e2 / sqrt kε0r3m

    where k is a some combination of constants.

    2. Relevant equations

    Coulumb's force law: F = kq1q2/r2

    Centripetal force: mω2r

    Current: I = q/t

    k = 1/4πε0

    3. The attempt at a solution

    I equated columb's force law to the centripetal force to give mω2r = ke2/r2

    Then rearranged to get ω2 = ke2/mr3

    Then I changed ω for 2π/T and square rooted both sides to give 2π/T = ke2/mr3

    From here I'm just not sure how to get it into the form of the equation asked for.
     
  2. jcsd
  3. Jan 13, 2017 #2

    TSny

    User Avatar
    Homework Helper
    Gold Member

    The left side of the second equation above has an error (maybe just typographical).

    Try to make use of I = q/t.
     
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: Electric Current of an Orbiting Electron
  1. Electron Orbits (Replies: 1)

Loading...