(Solved): Electromagnetic Theory II 4. Find direction of propagation, \( \varepsilon_{\mathrm{r}} \) and \( \b ...

4. Find direction of propagation, \( \varepsilon_{\mathrm{r}} \) and \( \beta \) if phasor representation of a \( 12 \mathrm{KHz} \) electromagnetic wave are given by \( \overrightarrow{\mathrm{E}}=\overrightarrow{\mathrm{a}}_{\mathrm{z}} 12 \pi \mathrm{e}^{-\mathrm{jBy}} \mathrm{V} / \mathrm{m} \) and \( \overrightarrow{\mathrm{H}}=\overrightarrow{\mathrm{a}}_{\mathrm{x}} 0.1 \sqrt{5} \mathrm{e}^{-\mathrm{jey}} \mathrm{A} / \mathrm{m} \) in a simple and lossless medium \( \left(\mu_{\mathrm{r}}=1\right. \) and \( \left.\sigma=0\right) \).