Question 2.5.1: A medium has a breakdown strength of 16 kV/m rms. Its relati...

A medium has a breakdown strength of 16 kV/m rms. Its relative permeability is 1.0 and relative permittivity is 4.0. A plane electromagnetic wave is transmitted through the medium. Calculate the maximum possible power flor density and the associated magnetic field.

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\mu_{ r }=1, E_{r}=4.

\begin{gathered}\text { given, } E=E_{\text {brms }}=16 kv / m \\\eta=\sqrt{\frac{\mu_{r}}{E_{r}}} 120 \pi=60 \pi, P=\frac{E_{\text {brms }}^{2}}{\eta} \\\text { So, } P_{\max }=\frac{\left(16 \times 10^{3}\right)^{2}}{60 \pi}=1.36 \times 10^{6} w / m ^{2} \\H_{b r m s}=\frac{E_{b r m s}}{\eta}=84.88 A / m\end{gathered}

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