Is there a defined distance at which Electromagnetism starts exerting more force than the strong nuclear force?(adsbygoogle = window.adsbygoogle || []).push({});

So far I have

Gluons have <20MeV (32.04×10-13J) of energy.

Using the uncertainty principle:

t=h/(4×pi×E) and distance = t×c

Therefore t = (6.6×10^-34)/(4×pi×<32.04×10^-13) =<1.639×10^-23s

Therefore d = <1.639×10^-23 × 3.0×10^8 = <4.9×10^-15m

So the strong nuclear force has a maximum range of 4.9×10^-15m

The electromagnetic force has an infinite range, but it's force is proportional to the inverse square of the radius, so it drops exponentially.

F=(q1*q2)/(4×pi×ε0×r^2)

Where q1 + q2 are the charges of repelling particles, in this case 2 hydrogen nuclei and ε0 is the permittivity of a vacuum (as the space inside an atom is a vacuum)

The force at the limit of the Strong Nuclear force's range is:

F=(1.6×10^-19×1.6×10^-19)/(4×pi×8.85×10^-12×(4.9×10^-15)^2)) = 9.59 N

Is there anyway to link these two equations to get a definite limit? I'm attempting to explain the basics of fusing 2 hydrogen nuclei.

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# Limit at which Strong Nuclear force = Electromagnetism

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