Question

The value of Z2^’ in terms of Z1, Z2 from the circuits shown below is?

(a) Z2^‘=Z2/4 m (1-m^2)+Z2/m

(b) Z2^‘=Z1/4 m (1-m^2)+Z1/m

(c) Z2^‘=Z2/4 m (1-m^2)+Z1/m

(d) Z2^‘=Z1/4 m (1-m^2)+Z2/m

I had been asked this question by my college professor while I was bunking the class.

This question is from m-Derived T-Section in portion Filters and Attenuators of Network Theory

Answer 1

Right choice is (d) Z2^‘=Z1/4 m (1-m^2)+Z2/m

For explanation: As ZoT = ZoT^’, √(Z1^2/4+Z1Z2)=√(m^2 Z1^2/4+m Z2^‘). On solving, Z2^‘=Z1/(4 m (1-m^2))+Z2/m.