Question

A lossless transmission line is 80 cm long and operates at a frequency of 600 MHz. The line parameters are L = 0.25 µH/m and C = 100 pF/m. Find the characteristics impedance, the phase constant, and the phase velocity. Z0 = ?((R + j?L) / (G + j?C)) ? = ?((R + j?L)(G + j?C)) = ? + j? ? = ??(LC) ?p = ? / ? Ans: 50?, 18.85rad/m, 2 x 10^8m/s.

          A lossless transmission line is 80 cm long and operates at a frequency of 600 MHz. The line parameters are L = 0.25 µH/m and C = 100 pF/m. Find the characteristics impedance, the phase constant, and the phase velocity.
Z0 = ?((R + j?L) / (G + j?C))
? = ?((R + j?L)(G + j?C)) = ? + j?
? = ??(LC)
?p = ? / ?
Ans: 50?, 18.85rad/m, 2 x 10^8m/s.

A lossless transmission line is 80 cm long and operates at a frequency of 600 MHz. The line parameters are L = 0.25 µH/m and C = 100 pF/m. Find the characteristics impedance, the phase constant, and the phase velocity.
Z0 = ?((R + j?L) / (G + j?C))
? = ?((R + j?L)(G + j?C)) = ? + j?
? = ??(LC)
?p = ? / ?
Ans: 50?, 18.85rad/m, 2 x 10^8m/s.

Added by Brittany M.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Madhur L

06/14/2023

Step 1

- Length of the transmission line, \( l = 80 \) cm (not needed for the calculations) - Frequency, \( f = 600 \) MHz - Inductance per unit length, \( L = 0.25 \) μH/m - Capacitance per unit length, \( C = 100 \) pF/m Show more…

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A lossless transmission line is 80 cm long and operates at a frequency of 600 MHz. The line parameters are L = 0.25 µH/m and C = 100 pF/m. Find the characteristic impedance, the phase constant, and the phase velocity. Z0 = √((R + jωL)/(G + jωC)) γ = √((R + jωL)(G + jωC)) = α + jβ β = ω√(LC) νp = ω/β Ans: 50 Ω, 18.85 rad/m, 2 x 10^8 m/s