Question

In the circuit given below, the value of the Inverse hybrid parameter g11 is _________

(a) 10 Ω

(b) 0.133 Ω

(c) 5 Ω

(d) 2.5 Ω

This question was posed to me in an online interview.

Enquiry is from Inverse Hybrid (g) Parameter in portion Two-Port Networks of Network Theory

Answer 1

Right choice is (b) 0.133 Ω

The best explanation: Inverse Hybrid parameter g11 is given by, g11 = \(\frac{I_1}{V_1}\), when I2 = 0.

Therefore short circuiting the terminal Y-Y’, we get,

 V1 = I1 ((5 || 5) + 5)

= I1 \(\left(\left(\frac{5×5}{5+5}\right)+5\right)\)

= 7.5I1

∴ \(\frac{I_1}{V_1} = \frac{1}{7.5}\) = 0.133

Hence g11 = 7.5 Ω.