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The prevalence of 50-ohm impedance in antenna design is neither accidental nor the result of simply adding resistors in series. Instead, an antenna's impedance is determined by a combination of factors, including its geometry, dimensions, and surrounding environment. The ideal scenario involves matching the antenna's impedance with that of the transmission line to maximize power transfer efficiency and minimize signal reflections.
The adoption of 50 ohms as a standard stems from a historical compromise—it strikes a balance between power-handling capability and signal attenuation. While 75-ohm impedance is frequently used in applications like television broadcasting, 50 ohms has become the industry standard in RF engineering, widely employed in communications, radar systems, and other fields.
Transmission line impedance plays an equally critical role, as mismatches can lead to signal loss and degraded performance. Consequently, antenna design is a complex process that requires careful consideration of multiple factors rather than a simplistic approach of stacking resistive elements.

