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 ΩI 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

For the circuit given below, the value of z21 parameter is ___________

1.	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 ΩI 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
Answer» 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.

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