The classic “magic” 50 Ω is a compromise between two extremes:
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Higher impedance (e.g. 75 Ω) gives lower attenuation per unit length but poorer power handling.
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Lower impedance (e.g. 25 Ω) handles more power but suffers higher dielectric losses.
At around 50 Ω you get a sweet spot suitable for a wide range of RF power levels and frequencies.
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