Academics – Mathematics : 2019/JUL/01
Question
Q1. The characteristic impedance, Z, of a transmission line may be determined from the complex formula Z2 = (R + jωL)/(G + jωC)
Determine in the polar rule, r < θ, EACH of the following for a transmission line where
R = 1.8 ohms, ω = 104, L = 0.15×10-3 henry, G = 4.4×10-6 ohms and C = 1.3×10-9 farads:
(a) Z2 (9)
(b) Z, given that from De Moivre's Theorem, (r < θ)n= rn < nθ for any value of n; (4)
(c) 1000/Z (3)
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