A rectangular waveguide is designed to propagate the dominant mode TE$10$ at a fre$-$

quency of $5$ GHz$.$ The cutoff frequency is $0\mathrm{.}8$ of the signal frequency. The ratio of the

guide height to width is $2.$ The time$-$average power flowing through the guide is $1$ kW$.$

Determine the magnitudes of electric and magnetic intensities in the guide and indicate

where these occur in the guide.