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

$\nabla \cdot E=0$

$\nabla \times E={\frac {1}{T}}$

$\nabla \cdot B=0$

$\nabla \times B={\frac {1}{T}}$

When solve Maxwell equations above it gives electromagnetic wave equation below

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

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

Solve electromagnetic wave equation gives electromagnetic wave function below

$E=ASin\omega t$

$B=ASin\omega t$

$\omega ={\sqrt {\frac {1}{T}}}=C=\lambda f$

$T=\mu \epsilon$