If the transmission parameters of the network shown below

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If the transmission parameters of the network shown below are A = C = 1, B = 2 and D = 3, then the value of Z_in is—

1. 12/13 Ω
2. 13/12 Ω
3. 3Ω
4. 4Ω

Correct Option: A

The given network:

Given A = C = 1, B = 2 and D = 3
V₁ = AV₂ – BI₂
and
I₁ = CV₂ – DI₂
or
V₁ = V₂ – 2I₂ = – 10 I₂ – 2I₂ = – 12 I₂
I₁ = V₂ – 3I₂ = – 10 I₂ – 3I₂ = – 13I₂
From given circuit

Z_in =	V₁	=	12 I₂	=	12
	I₁		-13 I₂		13

Hence alternative (A) is the correct choice.