The Smith chart, constructed on the basis of Eqs. (9-188) and (9- 189) for a Iossless transmission line, is restricted to a unit circle because|Γ|≤1. In the case of a lossy line, 2 0 is a complex quantity, and so, in genera l, is the normalized load impedance zL = ZL/Z0 .
a) Show that the phase angle of ZL,θLlies between ± 3π/4.
b) Show that |Γ| may be greater than unity.
c) Prove that max. |f| = 2.414.
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