Question: (a) Show that impedances having a negative real part (i.e., z = -r + jx) have a reflection coefficient whose magnitude is greater than 1.
(b) Prove that negative resistances can be handled in the Smith chart by plotting 1/Γ* and interpreting the resistance circles as being negative and the reactance circles as marked.
(c) Locate in the Smith chart the impedances Z1 = -20 + j16Ω and Z2 = -200 + 125Ω and find the associated reflection coefficient. Normalize the impedances to 50 Ω.
(d) Work the problem in part (c) in the compressed Smith chart.
(e) What is the value of |Γ| on the boundary of the compressed Smith chart in Fig.?
