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Electromagnetic theory miscellaneous

Electromagnetic Theory

  1. An open wire transmission line has primary constant
    R = 20 Ω/m     G = 0.3 × 103 s/km
    L = 0.25 1 m H/km     C = 0.1 µ F/m
    at a frequency of 1 kHz its characteristic impedance is—
    1. 169.73 Ω, ∠– 25º
    2. 238.2 Ω, ∠– 25º
    3. 715 Ω, ∠– 25º
    4. 50 Ω, ∠– 25º
Correct Option: A

We have characteristic impedance as follows

Z0 =
R + jωL
G + jωc

R = 20 Ω/ km,
G = 0.3 × 103 s/ km
L = 0.25 mH/ km,
C = 0.1 µF and ω = 103 Hz so we get
Z0 =
20 + j2π(103 × 0.25 × 10−3)
0.3 × 10−3 + j2π(103 × 0.1 × 10−6)

=
20 + j2π( 0.25 )
0.30 −3 + j2π(0.1 × 10−6)

= 169.75 ∠– 25º



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