Question $3(20$ Marks$)$

An antenna, connected to a $150-\backslash (\backslash$Omega $\backslash )$ lossless line, produces a standing wave ratio of $2\mathrm{.}6.$ If measurements indicate that voltage maxima are $120$ cm apart and that the last maximum is $40$ cm from the antenna, calculate:

i$.$ The operating frequency.

$(4$ marks$)$

ii$.$ The antenna impedance.

$(4$ marks$)$

iii. The reflection coefficient. Assume that $\backslash (\backslash$mathrm$\{$u$\}=\backslash$mathrm$\{$c$\}\backslash ).$ You need to $(12$ marks$)$ answer this question on a Smith Chart.