Chapter 6, Problem 23P

The electric field of an electromagnetic wave propagating in air is given by

$\begin{array}{l}E\text{(}z,t)=\hat{x}\text{4cos(6}\times {\text{10}}^{\text{8}}t-2z)\\ \text{+}\hat{y}\text{3}\sin (6\times {10}^{8}t-2z)\text{(V/m)}\end{array}$.

Find the associated magnetic field H(z, t).