The ratio of electric force to gravitational force between particles of charges q₁,q₂ and masses m₁,m₂ is:
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The ratio of electric force to gravitational force between particles of charges q₁,q₂ and masses m₁,m₂ is:

G1 Physics · Accepted Answer

Fₑ=q₁q₂/(4πε₀r²) and F g = G m 1 m 2 / r 2 . F_g=Gm₁m₂/r². F g ​ = G m 1 ​ m 2 ​ / r 2 . Dividing cancels r²: Fₑ/ F g = q 1 q 2 / ( 4 π ε 0 G m 1 m 2 ) . F_g=q₁q₂/(4πε₀Gm₁m₂). F g ​ = q 1 ​ q 2 ​ / ( 4 π ε 0 ​ G m 1 ​ m 2 ​ ) .