How much stronger is the electric force between two electrons than the gravitational force between them?

nabakhi72

nabakhi72

Answered question

2022-08-09

How much stronger is the electric force between two electrons than the gravitational force between them?

Answer & Explanation

Leroy Cunningham

Leroy Cunningham

Beginner2022-08-10Added 14 answers

We know that
Universal gravitational constant
G = 6.67 × 10 11   N m 2 / k g 2
Coulomb constant (k) = 9 × 10 9   N m 2 / C 2
The mass of the electron
m e = 9.11 × 10 31   k g
Magnitude of the charge on an electron
q = e = 1.60 × 10 19   C
The electric force is given by
F e = k q 2 r 2
The gravitational force is given by
F g = G ( m e ) 2 r 2
The ratio of electric force to gravitational force between two electrons
F e F g = k q 2 r 2 G ( m e ) 2 r 2 = k q 2 G ( m e ) 2 = ( 9 × 10 9   N m 2 / C 2 ) ( 1.60 × 10 19   C ) 2 ( 6.67 × 10 11   N m 2 / k g 2 ) ( 9.11 × 10 31   k g ) 2 = 4.16 × 10 42
The electric force is stronger than gravitational force by 4.16 × 10 42

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