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If Z1, Z2 are same type of reactance, and if α = 0, then the value of β is?(a) β=2 sin^-1⁡(√(Z1/4 Z2))(b) β=2 sin^-1⁡(√(4 Z1/Z2))(c) β=2 sin^-1⁡(√(4 Z1/Z2))(d) β=2 sin^-1⁡(√(Z1/Z2))The question was posed to me during an internship interview.Enquiry is from Classification of Pass Band and Stop Band in division Filters and Attenuators of Network Theory

Answer» RIGHT option is (a) β=2 sin^-1⁡(√(Z1/4 Z2))

The best EXPLANATION: If α = 0, sin β/2 = x(√(Z1/4 Z2). But sine can have a maximum value of 1. Therefore the above solution is valid only for Z1/4 Z2, and having a maximum value of unity. It indicates the condition of PASS band with zero attenuation and FOLLOWS the condition as -1 < Z1/4 Z2 <= 0. So β=2 sin^-1⁡(√(Z1/4 Z2)).


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