un:gaussian-units
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un:gaussian-units [2024/06/24 01:54] – asad | un:gaussian-units [2024/06/24 02:04] (current) – asad | ||
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====== Gaussian units ====== | ====== Gaussian units ====== | ||
- | It is constructed by considering the value of the permittivity of free space | + | [[Gauss]] |
$$ \epsilon_0 = \frac{1}{4\pi} $$ | $$ \epsilon_0 = \frac{1}{4\pi} $$ | ||
- | which makes Coulomb' | + | which makes [[Coulomb]]'s law very simple by making $4\pi\epsilon_0=1$ giving rise to the electric field |
$$ E = \frac{q}{r^2} $$ | $$ E = \frac{q}{r^2} $$ | ||
that is a charge $q$ creates an electric field of magnitude $E$ at a distance $r$. | that is a charge $q$ creates an electric field of magnitude $E$ at a distance $r$. | ||
+ | |||
+ | Because speed of light [[c]] is just $(\epsilon_0\mu_0)^{-1/ | ||
+ | |||
+ | $$ \mu_0 = \frac{4\pi}{c^2}. $$ |
un/gaussian-units.1719215690.txt.gz · Last modified: by asad