The transformation laws for electric and magnetic fields prescribed by special relativity (in MKS) for a particle traveling at a speed v are


















where
is relativistic gamma and c is the speed of light. These transformation laws can be combined into a single entity known as the field tensor,

In cgs, the field tensor is written

The dual electromagnetic field tensor
is equivalent to replacing
and
, and gives the same transformation laws. In MKS,

and in cgs,




(1)



(2)



(3)



(4)



(5)



(6)
where
is relativistic gamma and c is the speed of light. These transformation laws can be combined into a single entity known as the field tensor,
(7)
In cgs, the field tensor is written

(8)
The dual electromagnetic field tensor
is equivalent to replacing
and
, and gives the same transformation laws. In MKS,
(9)
and in cgs,

(10)

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