
For a
point charge q at position

(i.e., an
electric monopole), the electric field at a point
r is defined in
cgs to be

(1)
In
MKS, the corresponding equation is

(2)
where

is a fundamental constant called the
permittivity of free space. The electric field is therefore defined such that for an
electric monopole,
E points
away from a positive charge and
towards a negative charge.
For an arbitrary collection of charge, the electric field can be determined experimentally as

(3)
where
F is the force exerted by the field on a
test particle of charge
q.
For a static electric field
E, the electric field is defined in terms of the
electric potential 
(sometimes also denoted
V and called the
voltage) by

(4)
where

is the
gradient.In the presence of a time-varying
magnetic field, the electric field is given in
cgs by the differential form of one of the
Maxwell equations,

(5)
with
c is the
speed of light and
A is the
magnetic vector potential. In
MKS, the corresponding equation is

(6)
For a continuous distribution of charge

, the electric field at a point
r is given in
cgs by

(7)
In
MKS,

(8)
where

is again the
permittivity of free space.
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