Barclay Physics Wiki

Coulomb's Law[]

Any two point charges exert a force on each other that is proportional to the product of their charges, and inversely proportional to the square of the distance between them. This interlinks with the force of gravity as its strength weakens by the inverse square law

as well.

Electric field

Coloumb's Law where Ke is equal to 1 over 4pi Epsilion



This is Coulomb's law where Q1 and Q2 are the charges excerting a force on each other and K is the electric constant.

How Gravitational and Electric fields compare[]

The table below summarises some of the similarities between gravitational and electric fields. As you can see the similarities shown indicate that these fields have many aspects eg. equations that are almost the same but just take different quantities into account.

Gravitational fields Electric fields

All gravitational fields

field strength g= F/m

ie. field strength is force per unit mass

All electric fields

field strength E=F/Q

ie. field strength is force per unit charge

Units

F in N, g in N kg -1 or ms-2

Units

F in N, E in N C-1 or V M-1

Uniform gravitational fields

parallel field lines

g= constant

Uniform electric fields

parallel field lines

E= V/d= constant

Spherical gravitational fields

radial field lines

force given by Newtons law: F=GMm/r(squared)

field strength is therefore: E=Gm/r(squared)

Spherical electric fields

radial field lines

parallel field lines

force given by coulombs law: F=kQq/r(squared)

field strength is therefore: E=kQ/r(squared)

Vector forces

only gravitational attraction, no repulsion

Vector forces

both electrical attraction and repulsion (possible because of positive and negative charges)