Fundamental Physics/Motion/Electromagnetic Oscillations

Electromagnetic Oscillations

Electromagnetic Oscillations has been observed in a coil of N circular loops

Maxwell 4 Vector equations

Electromagnetic's Oscillations can be describe by Maxwell 4 Vector equations below

${\displaystyle \nabla \cdot E=0}$
${\displaystyle \nabla \times E={\frac {1}{T}}}$
${\displaystyle \nabla \cdot B=0}$
${\displaystyle \nabla \times B={\frac {1}{T}}}$

When solve Maxwell equations above it gives electromagnetic wave equation below

${\displaystyle \nabla ^{2}E=-\omega E}$
${\displaystyle \nabla ^{2}B=-\omega B}$

Solve electromagnetic wave equation gives electromagnetic wave function below

${\displaystyle E=ASin\omega t}$
${\displaystyle B=ASin\omega t}$
${\displaystyle \omega ={\sqrt {\frac {1}{T}}}=C=\lambda f}$
${\displaystyle T=\mu \epsilon }$