Question

For the circuit given below, the value of the Inverse hybrid parameter g11 is ___________

(a) 0.133 Ω

(b) 0.025 Ω

(c) 0.3 Ω

(d) 0.25 Ω

This question was posed to me in class test.

The question is from Advanced Problems on Two Port Network in portion Two-Port Networks of Network Theory

Answer 1

Right choice is (a) 0.133 Ω

To elaborate: 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 Ω

Hence g11 = 0.133 Ω.