Question

For the circuit given below, the value of z21 parameter is ____________ (a) z21 = 0.0667 Ω (b) z21 = 2.773 Ω (c) z21 = 1.667 Ω (d) z21 = 0.999 Ω I had been asked this question in quiz. Query is from Series-Parallel Interconnection of Two Port Network in division Two-Port Networks of Network Theory Select the correct answer from above options network theory questions and answers, network theory questions pdf, network theory question bank, network theory gate questions and answers pdf, mcq on network theory pdf, gate network theory questions and solutions, network theory mcq Test , ies network theory questions, Network theory Questions for GATE EC Exam, Network Theory MCQ (Multiple Choice Questions)

Answer 1

Correct choice is (a) z21 = 0.0667 Ω For explanation: z11 = \frac{V_1}{I_1} = 2 + 1 || [2+1 || (2+1)] z11 = 2 + 1 || (2 + \frac{3}{4} ) = 2 + \frac{1×\frac{11}{4}}{1+\frac{11}{4}} = 2 + \frac{11}{15} = 2.733 I0 = \frac{1}{1+3} I’0 = \frac{1}{4} I’0 And I’0 = 1 + \frac{11}{4} I1 = \frac{4}{15} I1 Or, I0 = \frac{1}{4} × \frac{4}{5} I_1 = \frac{1}{15} I_1 Or, V2 = I0 = \frac{1}{15} I_1 z21 = \frac{V_2}{I_1} = \frac{1}{15} = z12 = 0.0667 z22 = \frac{V_2}{I_2} = 2+1 || (2+1||3) = z11 = 2.733 ∴ [z] = [2.733:0.0667; 0.0667:2.733] Ω.