Question

If Z1, Z2 are same type of reactance, then |Z1/4 Z2| is real, then the value of α is?

(a) α = sinh^-1⁡√(Z1/4 Z2)

(b) α = sinh^-1⁡⁡√(Z1/Z2)

(c) α = sinh^-1⁡√(4 Z1/Z2)

(d) α = sinh^-1⁡⁡√(Z1/2 Z2)

I got this question during an interview.

The question is from Classification of Pass Band and Stop Band in portion Filters and Attenuators of Network Theory

Answer 1

Correct answer is (a) α = sinh^-1⁡√(Z1/4 Z2)

Easiest explanation: Z1, Z2 are same type of reactance and |Z1/4 Z2| is real. |Z1/4 Z2| > 0. The value of α is α = sinh^-1⁡√(Z1/4 Z2).