Problem 7.2.5: TEM parallel-plate line with losses

A parallel-plate transmission line consists of two copper strips (${\sigma }_c=5.8\times 10^{7}S/m$) of width $w=8\mathrm{mm}$ separated by a $b=0.5\mathrm{mm}$ dielectric with ${\epsilon }_r=3.5$, $\tan \delta =0.003$. Fringing is neglected, and $f=5\mathrm{GHz}$.

1. Find $\eta$, $Z_0$, $L^{\prime }$, $C^{\prime }$ and $v_p$ of the TEM mode.
2. Up to which frequency is the TEM mode the only propagating mode?
3. Find ${\alpha }_c$, ${\alpha }_d$ and the total loss in dB/m.
4. The voltage amplitude is $10\mathrm{V}$. Find $E_0$ and the transmitted power.

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