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Display information for equation id:math.1443.222 on revision:1443
* Page found: Materie in elektrischen und magnetischen Feldern (eq math.1443.222)
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TeX (original user input):
\begin{align}
& {{k}^{2}}=\frac{{{\omega }^{2}}}{{{c}^{2}}}\left( {{n}^{2}}-{{\gamma }^{2}}+2in\gamma \right)\approx \frac{{{\omega }^{2}}}{{{c}^{2}}}\varepsilon \mu \frac{i}{\omega \tau } \\
& \Rightarrow {{n}^{2}}-{{\gamma }^{2}}\approx 0 \\
& n\gamma \approx {{n}^{2}}\approx {{\gamma }^{2}}\approx \frac{\varepsilon \mu }{2\omega \tau }\Rightarrow n=\gamma =\sqrt{\frac{\varepsilon \mu }{2\omega \tau }} \\
& \tan \phi =\frac{\gamma }{n}\approx 1\Rightarrow \phi \approx \frac{\pi }{4} \\
\end{align}
TeX (checked):
{\begin{aligned}&{{k}^{2}}={\frac {{\omega }^{2}}{{c}^{2}}}\left({{n}^{2}}-{{\gamma }^{2}}+2in\gamma \right)\approx {\frac {{\omega }^{2}}{{c}^{2}}}\varepsilon \mu {\frac {i}{\omega \tau }}\\&\Rightarrow {{n}^{2}}-{{\gamma }^{2}}\approx 0\\&n\gamma \approx {{n}^{2}}\approx {{\gamma }^{2}}\approx {\frac {\varepsilon \mu }{2\omega \tau }}\Rightarrow n=\gamma ={\sqrt {\frac {\varepsilon \mu }{2\omega \tau }}}\\&\tan \phi ={\frac {\gamma }{n}}\approx 1\Rightarrow \phi \approx {\frac {\pi }{4}}\\\end{aligned}}
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