A circuit is operating at 10 GHz and a section of a 75 ohm lossless transmission

Question

A circuit is operating at 10 GHz and a section of a 75 ohm lossless transmission line is terminated with open circuit to construct a reactance of -75 Ohm. For the following questions, please use Smith Chart to answer the questions. 1) If the dielectric constant of the transmission line is 3, what is the shortest possible length of the transmission line to realize this 75 Ohm reactance? 2) What is the second shortest possible length of the line to realize this -75 Ohm reactance using this open terminated TL? 3) For an equivalent reactance of + 75 ohm, what is the shortest possible length of TL to realize this +75 Ohm reactance using this short terminated TL? 4) What is the second shortest possible length of the short terminated TL to implement a reactance of = 75 ohm?

Explanation / Answer

From the physics of electric power transmission, when a conductor is subjected to electric power (or voltage), electric current flows in the medium. Resistance to the flow produces heat (thermal energy) which is dissipated to the surroundings. This power loss is referred to as ohmic loss

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