Ratio of Forces (Equation 3)
Let's examine Equation 3 for an electron and a proton, where QE= 1.76 x 1011 coul/kgm and ME QP = QE _ = 1.76 x 1011 coul/kgm MP 1830 ME 1830 and where we used the fact that the proton is 1830 times the mass of the electron. We also find that K = 1 = 1.34 X 1020 kgm2/coul2 4pGe0 and QE x QP = (1.76 x 1011 coul/kgm)2 = 1.69 x 1019 kgm2/coul2 ME MP 1830 The ratio of forces (Equation 3) is the product of these two very big numbers which is FE/Fg = 2.26 x 1039 (The units cancel away)
So we see that because the fundamental constant K is very large (in units of kgm2/coul2) and the ratios of QE/QM and QP/MP are both large. The ratio FE/Fg is.....very large. It can be written as:
FE/Fg = 2,260 x billion x billion x billion x billion.
That's how much stronger the electrostatic force is than the gravitational force of an electron on a proton, both being attractive forces in this case. And remember that it doesn't matter how far these particles are from each other, we always get the same ratio, 2.26 x 1039.