can anyone calculate the force of Coulomb's law on the atom of Hydrogen?

[dock]

https://en.wikipedia.org/wiki/Coulomb's_law

the distance between electron and proton is very closed.

strong interaction and this force have any relative?

 

[joigus]

Force doesn't make much sense when dealing with quantum mechanical systems, but if you want to get an idea of the magnitude of the interaction in Newtons, there's a trick you can do.

You take the Coulomb force law and substitute the distance r by the Bohr radius.

Somebody's made the calculation for us here:

https://www.toppr.com/en-es/ask/question/calculate-the-electrostatic-force-of-attraction-between-a-proton-and-an-electron-in-a-hydrogen/

I've roughly checked the calculation and it is correct. About a tenth of a millionth of a Newton. It must be interpreted as an average.

The strong force doesn't play any significant role in this.

[Bernie]

As has been indicated above, force is not a quantum mechanical quantity;
instead, the quantity which should be preferred is the 'potential' (energy), as this doubtlessly exists
in both worlds, the classical and the quantum domain.

But still there is a paper from Feynman (I think his bachelor thesis!) with a proof that forces can be derived even
in the quantum world.

If you want to be very accurate you should consider that the distance r between the electron and the proton varies with time.
Quantum mechanics tells us, that the electron can be found statistically in the range around the Bohr radius a₀;
to be exact: the most probable separation is the Bohr radius a₀, wheras the mean (average) separation is 1.5 a₀.

 

Edited April 2, 2021 by Bernie