# The Galilean limits of Maxwell’s equations

```@article{Heras2010TheGL,
title={The Galilean limits of Maxwell’s equations},
author={Jos{\'e} A. Heras},
journal={American Journal of Physics},
year={2010},
volume={78},
pages={1048-1055}
}```
• José A. Heras
• Published 13 September 2010
• Physics
• American Journal of Physics
We show that if Maxwell’s equations are expressed in a form independent of specific units, at least three Galilean limits can be extracted. The electric and magnetic limits can be regarded as nonrelativistic limits because they are obtained using the condition |v|⪡c and restrictions on the magnitudes of the sources and fields. The third limit is called the instantaneous limit and is introduced by letting c→∞. The electric and instantaneous limits have the same form, but their interpretation is…
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