How does the gain of a parabolic dish antenna change when the operating frequency is doubled?
• Antenna gain vs. effective aperture (area) • How effective aperture depends on wavelength (λ) • What happens to wavelength when frequency is doubled
• Write the basic relationship between gain, effective area of the dish, and wavelength. How does gain depend on λ? • If frequency doubles, what happens to wavelength? Then, how does that change the gain term that includes λ? • Convert the gain change you found into dB to compare with the answer choices.
• Confirm that dish physical size (diameter) is held constant when frequency changes. • Verify how wavelength (λ) relates to frequency (f): λ = c / f. • Check how gain scales with (1/λ²) for a parabolic dish, then translate that scaling into dB.
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