Final answer:
To calculate the phase constant and phase velocity of a lossless transmission line, the formulas phase constant (β) = 2πf√(LC) and Phase velocity (v) = ω/β = 1/√(LC) are used. The line dispersion is considered less when the wavelength is much shorter than the distance.
Step-by-step explanation:
In order to calculate the phase constant and phase velocity for the given lossless transmission line, we can use the formulas:
Phase constant (β) = 2πf√(LC)
Phase velocity (v) = ω/β = 1/√(LC)
Using the given values: L = 2.4uH/m, f = 4.5GHz, and c = 851, we can substitute them into the formulas to find the phase constant and phase velocity.
The line dispersion can be determined by comparing the wavelength to the distance. If the wavelength is much shorter than the distance, the line dispersion is considered less.