DO NOT COPY CHEGG SOLUTIONS, SHOW THE ACTUAL PLOT, SHOW ALL WORK. Consider an electromagnetic wave with frequency $=1GHz$ that

propagates in the z$-$direction of a right$-$handed coordinate system

$($i$.$e$.,$ the coordinate system considered in the lecture$).$

$E_x=E_{0x}cos(t-kz-{}_x)$

$E_y=E_{0y}cos(t-kz-{}_y)$

The the total electric field vector is given by:

vec$(E)=E_x$widehat$(x)+E_y$widehat$(y)$

Consider $E_{ox}=E_{oy}$ and take ${}_x=0.$ Plot as a function of time:

$($a$)E_x$

$($b$)E_y$

$($c$)$ the angle between vec$(E)$ and the x$-$axis

$($d$)$ angle between vec$(E)$ and the y$-$axis

for each of the following cases:

$(1){}_y=0$

$(2){}_y=+180$ and $-180$

$(3){}_y=+90$ and $-90$

$(4){}_y=+45$ and $-45$