1.

The direction of nulls for broadside array of N –Isotropic sources is given by _____(a) \(cos^{-1}⁡([±\frac{nλ}{Nd}])\)(b) \(cos^{-1}⁡([±\frac{2nλ}{Nd}])\)(c) \(cos^{-1}⁡([±\frac{2πnλ}{2Nd}])\)(d) \(cos^{-1}⁡([±\frac{nλ}{Nd}])\)The question was posed to me in a national level competition.My enquiry is from Array of N-Isotropic Sources in portion Antenna Array of Antennas

Answer»

Right CHOICE is (a) \(cos^{-1}⁡([±\frac{nλ}{Nd}])\)

The explanation is: The nulls of the N- ELEMENT ARRAY is GIVEN by \(θ_n=cos^{-1}⁡(\frac{λ}{2πd} [-β±\frac{2πn}{N}])\)

Given it’s a BROADSIDE array so β=0

\(θ_n=cos^{-1}⁡(\frac{λ}{2πd} [±\frac{2πn}{N}])= cos^{-1}⁡([±\frac{nλ}{Nd}]).\)



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