The electric force is 2.33 × 10^49 times greater than the gravitational force.
The gravitational force in the middle of the proton and the electron is obtained from;
Fg = G me mp / r^2
Where ,
me = mass of the electron
mp = mass of the proton
r = distance of separation
Fg = (6.67 x 10^-11 Nm^2 / C^2) x (9.11 × 10^-31) × 1.673 ×10^-27/(1.8 × 10^-10)^2
Fg = 3.86 × 10^-58 N
For the electric force;
Fe=K e^2/r^2
Where
K = electric constant
e = magnitude of charge on electron and proton
r = distance of separation
Fe = 8.988 × 10^9 x (1.602×10^-19)^2 /(1.8×10^-10)^2 =
Fe = 7.10 × 10^-9 N
Hence,
The number of time the electric force is stronger than the gravitational force = 9× 10^-9 N/3.04 × 10^-58 N = 2.33 × 10^49 times
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