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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