problem about deriving plancks constant, speed of e in H or bohrs radius

[Tor Fredrik]

First I will add some theory

 

Then I will try to derive rydberg energy formula from a kinetic perspective

The numbers above is correct for the rydberg formula. Is it possible to derive plancks constant, bohr radius or velocity for electron in n=1 for hydrogen atom with this? This is how far I get equating centripetal force and coulomb attraction:

Edited January 4, 2020 by Tor Fredrik
had to do recalculations

[Tor Fredrik]

But why is n only integers?

Edited January 5, 2020 by Tor Fredrik

[swansont]

Bohr’s formulation does not have a magnetic field

[Tor Fredrik]

Just now, swansont said:

Bohr’s formulation does not have a magnetic field

Theres no B field in the derivation?

[swansont]

No. It assumes a circular orbit stemming from a Coulomb force. Why would there be a magnetic field?