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Why do we use 50 ohm impedance?

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The quick answer is that 50 ohms is a great compromise between power handling and low loss, for air-dielectric coax. ... ...the standard coax impedances is 75 ohms because that is the impedance you end up with after you run a 300 ohm 1/2 wave folded dipole impedance through a classic 4:1 hairpin balun.

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