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(Solved): The electric field of a plane wave propagating in a lossless non-magnetic med ...
The electric field of a plane wave propagating in a lossless non-magnetic medium \( \left(\mu_{\mathrm{r}}=1\right) \) is given by \[ \vec{E}=5 \cos \left(2 \times 10^{7} \pi t+0.4 \pi x\right) \hat{y} \mathrm{~V} / \mathrm{m} \] Determine the following: i) The propagation direction of the wave ( 1 mark). ii) The wavelength ( 2 marks). iii) The relative permittivity of the given medium ( 2 marks). iv) The average power density of the travelling wave ( 3 marks).
Expert Answer
i) The propagation direction of the wave can be determined by looking at the phase of the electric field. In this case, the phase of the electric fiel