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Beam area and directivity are related as _____

(a) \(D=\frac{2\pi}{B}\)

(b) \(D=\frac{4\pi}{B}\)

(c) \(D=\frac{B}{2\pi}\)

(d) \(D=\frac{B}{4\pi}\)

I have been asked this question in a job interview.

My question comes from Half Power Beam Width in section Antenna Beam Width & Input Impedance of Antennas

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Right option is (b) \(D=\frac{4\pi}{B}\)

The explanation: Beam width/ beam area is the measure of directivity of an antenna.

\(D=\frac{4\pi}{B}\)

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