A sinusoidal voltage source drives the series combination of an impedance, Z g 50 j50, and a lossless transmission line of length L, shorted at the load end The line characteristic impedance is 50, and wavelength is measured on the line (a) Determine, in terms of wavelength, the shortest line length that will result in the voltage source driving a total impedance of 50 (b) Will other line lengths meet the requirements of part (a) If so, what are they

Question: A sinusoidal voltage source drives the series combination of an impedance, Z g = 50 j50, and a lossless transmission line of length L,

A sinusoidal voltage source drives the series combination of an impedance, Z_g = 50 − j50Ω, and a lossless transmission line of length L, shorted at the load end. The line characteristic impedance is 50Ω, and wavelength λ is measured on the line.

(a) Determine, in terms of wavelength, the shortest line length that will result in the voltage source driving a total impedance of 50 Ω.

(b) Will other line lengths meet the requirements of part (a)? If so, what are they?

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a Using Eq 98 with Z L 0 we find the input impedance Z in jZ 0 tanL where Z 0 50 o... View full answer

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