1.

The Half-power beam width of the N-element isotropic source array can be known when _____(a) \(ᴪ=\frac{2.782}{N}\)(b) \(ᴪ=\frac{1.391}{N}\)(c) \(ᴪ=\frac{1.414}{N}\)(d) \(ᴪ=\frac{3}{N}\)I had been asked this question in quiz.My doubt stems from Array of N-Isotropic Sources in section Antenna Array of Antennas

Answer»

The correct option is (a) \(ᴪ=\frac{2.782}{N}\)

To EXPLAIN: Normalized ARRAY factor is given by \(AF=\frac{sin(Nᴪ/2)}{N \frac{ᴪ}{2}}=\frac{1}{√2} \)

⇨ \(\frac{Nᴪ}{2}=1.391\)

⇨ \(ᴪ=\frac{2.782}{N} \)



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