Show that the mode TE00 cannot occur in a rectangular wave guide. [Hint: In this case ω/...

Show that the mode TE₀₀ cannot occur in a rectangular wave guide. [Hint: In this case ω/c = k, so Eqs. 9.180 are indeterminate, and you must go back to Eq. 9.179. Show that B_z is a constant, and hence—applying Faraday’s law in integral form to a cross section—that B_z = 0, so this would be a TEM mode.]

Reference equation 9.179

Reference equation 9.180