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Homework Help: 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


    User Avatar
    Homework Helper
    Gold Member
    2017 Award

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

    Try to make use of I = q/t.
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