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Q1. The characteristic impedance, Z, of a transmission line, may be determined from the complex formula Z² = (R + jωL)/(G + jωC)

Determine Z² in the polar form, r ∠θ, for a transmission line where

R = 2.1 ohms, ω = 104 radians/second, L = 0.2 × 10^{- 3} henrys, G = 4.2 x 10^-6 - ohms and C = 1.2 x 10^-9 farads,

b) Given Z = x + jy, where x and y are real, solve the following equation for x and y:

2Z/(1 + j) - Z/(1 - j) = 15/(2 + j)