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Which of the following expression is true if Z1, Z2 are same type of reactance?(a) sinh⁡α/2sin⁡β/2=0(b) coshα/2sin⁡β/2=0(c) coshα/2cos⁡β/2=0(d) sinhα/2cos⁡β/2=0This question was posed to me in quiz.Question is taken from Classification of Pass Band and Stop Band topic in division Filters and Attenuators of Network Theory

Answer»

The correct ANSWER is (d) sinhα/2cos⁡β/2=0

For explanation I would say: If Z1, Z2 are same type of REACTANCE, then the real PART of sinhϒ/2 = sinhα/2cos⁡β/2 + jcoshα/2sin⁡β/2 should be zero. So sinhα/2cos⁡β/2=0.



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