© Charles Chandler

 

Description

 

This compares the electric and gravitational forces operating on the electron and proton in a hydrogen atom.

 

r

=

5.28 × 10−11 m

 

 

 

Electricity

 

k	=	8.99 × 109 N·m2·C2
qe	=	−1.60 × 10−19 C
qp	=	+1.60 × 10−19 C

 

 

FE	=	kqeqp r2

	=	(8.99 × 109 N·m2·C2) (1.60 × 10−19 C)2 (5.28 × 10−11 m)2

=

8.27 × 10−8 N

 

 

 

Gravity

 

G	=	6.67 × 10−11 N·m2·kg2
me	=	9.11 × 10−31 kg
mp	=	1.67 × 10−27 kg

 

 

FG	=	Gmemp r2

	=	(6.67 × 10−11 N·m2·kg2) (9.11 × 10−31 kg) (1.67 × 10−27 kg) (5.28 × 10−11 m)2

=

3.64 × 10−47 N

 

 

 

Electricity / Gravity

 

FE FG

=

8.27 × 10−8 N 3.64 × 10−47 N

	=	2.27 × 1039