(a) Use Maxwell's equations to show for a plane wave, in aB and at 44 which E and B are independent of y and z, that ax (b) Show that E, and B, also satisfy the wave equation. at ax

A certain guided wave travels through air with the following magnetic field H=10+ y cos(157x) sin[(67×10° rad/s)t - Bz] [A/m] (0.3) Find the associated and B. There are a couple ways to solve this problem. Note: this is NOT a plane wave, and be sure to understand why. Nevertheless it IS a valid solution of Maxwell's equations. You will see how guided waves like this come about