Fundamental Physics/Electricity/Electromagnetism/Electromagnetic radiation

Electromagnetic radiation

Configuration	Straight line conductor	Coil conductor	Coil conductor
Magnetic field's strength	$B={\frac {\mu }{2\pi r}}$	$B={\frac {N\mu _{o}}{l}}$	$B={\frac {N\mu }{l}}$
Radiation condition	$R(T)=R_{o}+nT$ $R(T)=R_{o}e^{nT}$	$v=C=\lambda _{o}f_{o}$	$v=C=\lambda f$
Radiation's energy	$E_{R}=i^{2}R(T)=mC\Delta T$	$E_{o}=hf_{o}$	$E=hf$
Matter's quantity	$m={\frac {E_{R}}{C\Delta T}}$	$h=p\lambda _{o}$	$h=p\lambda$
Matter's wave		$\lambda _{o}={\frac {h}{p}}$	$\lambda ={\frac {h}{p}}$
Matter's momentum		$p={\frac {h}{\lambda _{o}}}$	$p={\frac {h}{\lambda }}$
Photon state uncertainty		$\Delta \lambda p={\frac {1}{2}}{\frac {h}{2\pi }}$	$\Delta \lambda p={\frac {h}{4\pi }}={\frac {\hbar }{2}}$
Frequency spectrum	$f<f_{o}$	$f=f_{o}$	$f>f_{o}$
Frequency range	RF , uF , IF	VF	UVF , X , G

The Electromagnetic spectrum includes, in order of increasing frequency and decreasing wavelength

Matter decay	Alpha decay	Beta decay	Gamma decay
Radiation's speed	$\gamma$	$v=\omega _{o}={\sqrt {\frac {1}{\mu _{o}\epsilon _{o}}}}=C=\lambda _{o}f_{o}$	$v=\omega ={\sqrt {\frac {1}{\mu \epsilon }}}=C=\lambda f$
Radiation's matter quantity	$M=m_{o}(\gamma -1)$	$h=p\lambda _{o}={\frac {E}{f_{o}}}$	$h=p\lambda ={\frac {E}{f}}$
Energy	$E=M\gamma ^{2}$	$E=hf_{o}$	$E=hf$
Momentum	$p=M\gamma$	$p={\frac {h}{\lambda _{o}}}$	$p={\frac {h}{\lambda }}$
Wavelength		$\lambda _{o}={\frac {h}{p}}={\frac {C}{f_{o}}}$	$\lambda ={\frac {h}{p}}={\frac {C}{f}}$

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