Question

a)      Assume a wave is travelling in free space with frequency 95.5 MHz and its electric field component is given by the expression:                                                

Answer 1

1) So as propagation constant is given by in terms of wavelength

$\beta=\frac{2\pi}{\lambda}$

and wavelelngth = speed of light / frequency

so,

$\beta=\frac{2\pi}{c}f$

so putting all values we get

$\beta=\frac{2\pi}{3\times 10^8}\times 95.5\times 10^6$

-1 B= 2m

3) As for phase shift we have to check electric field at t=0 and x=0

we get

E=0

means

$sin(\phi)=0$

so, phase shift constant

$\phi=0$

3) As wave is travelling in free and amplitude is varying sinusoidally so there is no decay factor in the expression of type $e^{-\gamma t}$ so that means

attenuation factor =0