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    • 21.18: Why 50 Ohms?
      https://phys.libretexts.org/Courses/Kettering_University/Electricity_and_Magnetism_with_Applications_to_Amateur_Radio_and_Wireless_Technology/21%3A_Electrical_Transmission_Lines/21.18%3A_Why_50_Ohms
      In that section, it is shown that attenuation is minimized for characteristic impedances in the range \(\left(60~\Omega\right)/\sqrt{\epsilon_r}\) to \(\left(77~\Omega\right)/\sqrt{\epsilon_r}\), wher...In that section, it is shown that attenuation is minimized for characteristic impedances in the range \(\left(60~\Omega\right)/\sqrt{\epsilon_r}\) to \(\left(77~\Omega\right)/\sqrt{\epsilon_r}\), where \(\epsilon_r\) is the relative permittivity of the spacer material.
    • 7.5: Why 50 Ohms?
      https://phys.libretexts.org/Bookshelves/Electricity_and_Magnetism/Electromagnetics_II_(Ellingson)/07%3A_Transmission_Lines_Redux/7.05%3A_Why_50_Ohms
      In that section, it is shown that attenuation is minimized for characteristic impedances in the range \(\left(60~\Omega\right)/\sqrt{\epsilon_r}\) to \(\left(77~\Omega\right)/\sqrt{\epsilon_r}\), wher...In that section, it is shown that attenuation is minimized for characteristic impedances in the range \(\left(60~\Omega\right)/\sqrt{\epsilon_r}\) to \(\left(77~\Omega\right)/\sqrt{\epsilon_r}\), where \(\epsilon_r\) is the relative permittivity of the spacer material.

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