Question

The relation between α, β, ϒ is?

(a) α = ϒ  + jβ

(b) ϒ = α  + jβ

(c) β = ϒ + jα

(d) α = β + jϒ

The question was asked in an international level competition.

My doubt is from Classification of Pass Band and Stop Band in section Filters and Attenuators of Network Theory

Answer 1

Correct choice is (b) ϒ = α  + jβ

The best explanation: We know that the propagation constant is a complex function and the real part of the complex propagation constant is a measure of the change in magnitude of the current or voltage in the network known as attenuation constant and imaginary part is a measure of the difference in phase between the input and output currents or voltages known as phase shift constant. ϒ = α + jβ.