7.2.12 Problems and solutions

The problems of this section use the parallel-plate results together with the universal formulas of Section 7.1. With $s=\sqrt{1-(f_{co,n}/f{)}^2}$,

below cutoff $\alpha =h\sqrt{1-(f/f_{co}{)}^2}$, and the losses (7.2.36), (7.2.37). The constants are ${\epsilon }_0=10^{-9}/(36\pi )F/m$, ${\mu }_0=4\pi \times 10^{-7}H/m$, $c=3\times 10^{8}m/s$, ${\eta }_0=120\pi =377\Omega$, copper ${\sigma }_c=5.8\times 10^{7}S/m$, and $1\mathrm{Np}=8.686\mathrm{dB}$.