3. Consider the $\vec{E}$ and $\vec{H}$ vectors given by
$\vec{E} = [\hat{x} + E_y\hat{y} + (2+5j)\hat{z}]e^{-j2.3(-0.6x+0.8y)}e^{j\omega t}$
$\vec{H} = (H_x\hat{x} + H_y\hat{y} + H_z\hat{z})e^{-j2.3(-0.6x+0.8y)}e^{j\omega t}$ where $H_x, H_y, H_z$ are all
independent of x, y and z, determine
a) The component amplitudes of $E_y, H_x, H_y, H_z$, assuming that $\mu = \mu_0$ and $\epsilon = \epsilon_0$.
Answers: $E_y = 0.75$ N/C, $H_x = (4.24 + 10.6j) \times 10^{-3}$ A/m, $H_y = (3.18 + 7.95j) \times 10^{-3}$ A/m, $H_z = -3.32 \times 10^{-3}$ A/m
b) The frequency and the corresponding wavelength and
Answers: $f = 1.1 \times 10^8$ Hz and $\lambda = 2.73$m
