Radar OSA Practice Test

Which statement correctly expresses the relationship among antenna gain, aperture efficiency, and directivity?

Gain = directivity / efficiency Gain = efficiency − directivity Gain = efficiency × directivity Gain = efficiency + directivity

Correct Answer:

Gain = efficiency × directivity

Explanation:

Gain combines how well an antenna concentrates power in a direction with how efficiently it uses its aperture. Directivity measures the ideal concentration of radiated power in a given direction, assuming no losses. Aperture efficiency accounts for real-world losses when converting input power into radiated power from the aperture. Put together, the actual gain is the product of these two factors: Gain = aperture efficiency × directivity. This shows why the gain is scaled down from the directivity by the efficiency. For example, with a directivity of 10 (in linear units) and an aperture efficiency of 0.6, the gain becomes 6. This is why the correct relationship is a product, not a sum, difference, or quotient.

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