Question

The value of β if Z1, Z2 are same type of reactance?

(a) 2π

(b) π

(c) π/2

(d) 0

I had been asked this question in an international level competition.

I want to ask this question from Classification of Pass Band and Stop Band topic in division Filters and Attenuators of Network Theory

Answer 1

Right choice is (b) π

To elaborate: The value of β if Z1, Z2 are same type of reactances, then sinhα/2  cos⁡β/2=0 and coshα/2 sin⁡β/2=x. So the value of β is β = π.