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What is the input impedance of an infinite length transmission line?

What is the input impedance of an infinite length transmission line?

A transmission line of finite length that is terminated at one end with an impedance equal to the characteristic impedance appears to the source like an infinitely long transmission line and produces no reflections….Detailed Solution.

Length of Line Input Impedance
l = λ/4 Z i n = Z 0 2 Z L

What is the input impedance of a lossy line?

3 Input Impedance of a Lossy Line. This equation is also known as the lossy telegrapher’s equation. Note that Zin is a quasi-periodic function of ℓ and approaches Z0 for a long lossy line (i.e. provided that there is attenuation and the line’s γ has a real part as then tanhγℓ goes to one).

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What is the condition for lossless transmission line?

A transmission line is also lossless when: R = 0 and G = 0.

How do you calculate the input impedance of a lossless transmission line?

Summarizing to underscore this important idea: The input impedance of a terminated lossless transmission line is periodic in the length of the transmission line, with period λ/2. Not surprisingly, λ/2 is also the period of the standing wave (Section 3.13).

What is the equation for type of the transmission line called lossless when the input impedance Zi is?

When the transmission line is lossless, α = 0 and the amplitude of the wave is constant over the transmission line. In that situation R = G = 0 and equation (F. 21) reveals that for that situation the characteristic impedance is real.

What is the difference between lossy and lossless transmission line?

A lossy transmission line consists of an appreciable value of series resistance and shunt conductance where different frequencies travel at different speeds. This is opposite to a lossless transmission line, where the speed of wave propagation is the same for all frequencies.

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Which two parameters are zero in the lossless line?

Explanation: Due to the minimal losses in the lossless transmission line, the parameters of conductance and attenuation constant are assumed to be zero.

What is characteristic impedance of lossless transmission line?

The characteristic impedance of a lossless transmission line is purely real, with no reactive component. Energy supplied by a source at one end of such a line is transmitted through the line without being dissipated in the line itself.