GATE ECE 1998 | Question 25

Question

The electric field vector of a wave is given as
\[
\overrightarrow{\mathrm{E}}=\mathrm{E}_{0}  e^{t(\omega t +3x-4 y)} \frac{8 \vec{a}_{x}+6 \vec{a}_{y}+5 \vec{a}_{z}}{\sqrt{125}} \mathrm{~V} / \mathrm{m} .
\]
Its frequency is $10 \; \mathrm{GHz}$.

1. Investigate if this wave is a plane wave.
2. Determine its propagation constant, and
3. Calculate the phase velocity in $y$-direction.