(Solved): Q1. A uniform plane wave propagates in ty direction in a lossy medium. The magnetic field of the ...

Q1. A uniform plane wave propagates in ty direction in a lossy medium. The magnetic field of the swe is given as, \[ \vec{H}(y, t)=a_{x} 0.02 e^{-\alpha y} \sin \left(10 \pi 10^{7} t-\beta y+\pi / 6\right) \] If the medium is characterized by \( \varepsilon=3.6, \mu=2.1 \) and \( \sigma=0.8 \mathrm{~S} / \mathrm{m} \), a) Find \( \alpha, \beta \) and \( \delta \) b) Find \( \eta, \lambda \) and \( v_{p} \) c) Determine the distance over which the amplitude of the propagating wave will be \( 50 \% \) s of its vzlie at \( y=0 \). d) Find the instantaneous expression for \( \hat{E}(y, t) \).