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Gaussian units
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=== Other basic laws === {| class="wikitable plainrowheaders" |+ Other electromagnetic laws in Gaussian system and ISQ |- ! scope="col" | Name ! scope="col" | Gaussian system ! scope="col" | {{abbr|ISQ|International System of Quantities}} |- ! scope="row" | [[Lorentz force]] | <math>\mathbf{F} = q^{_\mathrm{G}}\,\left(\mathbf{E}^{_\mathrm{G}}+\tfrac{1}{c}\,\mathbf{v}\times\mathbf{B}^{_\mathrm{G}}\right)</math> | <math>\mathbf{F} = q^{_\mathrm{I}}\,\left(\mathbf{E}^{_\mathrm{I}}+\mathbf{v}\times\mathbf{B}^{_\mathrm{I}}\right)</math> |- ! scope="row" | [[Coulomb's law]] | <math>\mathbf{F} = \frac{q^{_\mathrm{G}}_1 q^{_\mathrm{G}}_2}{r^2}\,\mathbf{\hat r}</math> | <math>\mathbf{F} = \frac{1}{4\pi\varepsilon_0}\,\frac{q^{_\mathrm{I}}_1 q^{_\mathrm{I}}_2}{r^2}\, \mathbf{\hat r}</math> <br /> |- ! scope="row" | Electric field of<br />[[Coulomb's law|stationary point charge]] | <math>\mathbf{E}^{_\mathrm{G}} = \frac{q^{_\mathrm{G}}}{r^2}\,\mathbf{\hat r}</math> | <math>\mathbf{E}^{_\mathrm{I}} = \frac{1}{4\pi\varepsilon_0}\,\frac{q^{_\mathrm{I}}}{r^2}\,\mathbf{\hat r}</math> |- ! scope="row" | [[Biot–Savart law]]<ref>[https://books.google.com/books?id=RvZFuqw6mXEC&pg=PA180 Introduction to Electrodynamics by Capri and Panat, p180]</ref> | <math> \mathbf{B}^{_\mathrm{G}} = \frac{1}{c}\!\oint\frac{I^{_\mathrm{G}} \times \mathbf{\hat r}}{r^2}\,\operatorname{d}\!\mathbf{\boldsymbol{\ell}}</math> | <math> \mathbf{B}^{_\mathrm{I}} = \frac{\mu_0}{4\pi}\!\oint\frac{I^{_\mathrm{I}} \times \mathbf{\hat r}}{r^2}\,\operatorname{d}\!\mathbf{\boldsymbol{\ell}}</math> |- ! scope="row" | [[Poynting vector]]<br />(microscopic) | <math>\mathbf{S} = \frac{c}{4\pi}\,\mathbf{E}^{_\mathrm{G}} \times \mathbf{B}^{_\mathrm{G}}</math> | <math>\mathbf{S} = \frac{1}{\mu_0}\,\mathbf{E}^{_\mathrm{I}} \times \mathbf{B}^{_\mathrm{I}}</math> |}
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