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The necessary condition for maximum of the first side lobe of n element array is ______(a) \(\frac{Nᴪ}{2}=±\frac{5π}{2}\)(b) \(\frac{Nᴪ}{2}=±\frac{3π}{2}\)(c) \(\frac{Nᴪ}{2}=±\frac{π}{2}\)(d) \(\frac{Nᴪ}{2}=±\frac{4π}{2}\)I had been asked this question in class test.The above asked question is from Radiation Pattern of 8-Isotropic Elements topic in portion Antenna Array of Antennas

Answer» CORRECT answer is (b) \(\FRAC{Nᴪ}{2}=±\frac{3π}{2}\)

The explanation: The SECONDARY maxima OCCUR when the numerator of the array factor equals to 1.

⇨ \(sin(\frac{Nᴪ}{2})=±1\)

⇨ \(\frac{Nᴪ}{2}=±\frac{2s+1}{2} π \)

⇨ \(\frac{Nᴪ}{2}=±\frac{3π}{2}\) [s=1 for first minor LOBE].


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