- #1

FelaKuti

- 19

- 0

## Homework Statement

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 = e

^{2}/ sqrt kε

_{0}r

^{3}m

where k is a some combination of constants.

## Homework Equations

Coulumb's force law: F = kq

_{1}q

_{2}/r

^{2}

Centripetal force: mω

^{2}r

Current: I = q/t

k = 1/4πε

_{0}

## The Attempt at a Solution

I equated columb's force law to the centripetal force to give mω

^{2}r = ke

^{2}/r

^{2}

Then rearranged to get ω

^{2}= ke

^{2}/mr

^{3}

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

^{2}/mr

^{3}

From here I'm just not sure how to get it into the form of the equation asked for.