Question

If the value of β is π, and Z1, Z2 are same type of reactance, then the value of β is? (a) α=2 cosh^-1⁡√(Z1/2 Z2) (b) α=2 cosh^-1⁡√(Z1/Z2) (c) α=2 cosh^-1⁡√(4 Z1/Z2) (d) α=2 cosh^-1⁡√(Z1/4 Z2) This question was addressed to me during an online exam. My question is based upon Classification of Pass Band and Stop Band in chapter Filters and Attenuators of Network Theory Select the correct answer from above options network theory questions and answers, network theory questions pdf, network theory question bank, network theory gate questions and answers pdf, mcq on network theory pdf, gate network theory questions and solutions, network theory mcq Test , ies network theory questions, Network theory Questions for GATE EC Exam, Network Theory MCQ (Multiple Choice Questions)

Answer 1

Right option is (d) α=2 cosh^-1⁡√(Z1/4 Z2) To explain: If the value of β is π, cos β/2 = 0. So sin β/2 = ±1; cosh α/2 = x = √(Z1/4 Z2). This solution is valid for negative Z1/4 Z2 and having magnitude greater than or equal to unity. -α &lt= Z1/2 Z2 <= -1. α=2 cosh^-1⁡√(Z1/4 Z2).