In a linear two-port network, when 10 V is applied to Port

In a linear two-port network, when 10 V is applied to Port 1, a current of 4 A flows through Port 2 when it is short-circuited. When 5V is applied to Port 1, a current of 1.25 A flows through a 1Ω resistance connected across Port 2. When 3V is applied to Port 1, then current (in Ampere) through a 2 Ω resistance connect ed acoss Port 2 is _________.

Case (i) :

We know that, I₂ = Y₂₁V₁ + Y₂₂ V₂
4 = Y₂₁ × 10 + Y₂₂ × 0

Y₂₁ =	4	= 0.4 ℧
	10

Case (ii) :

I₂ = Y₂₁V₁ + Y₂₂V₂
1.25 = 0.4 × 5 + Y₂₂ (– 1.25)
– 0.75 = – 1.25 Y₂₂

Y₂₂ = 0.6 ℧

Case (iii) :

I₂ = Y₂₁V₁ + Y₂₂V₂
I₂ = 0.4(3) + 0.6 (– 2I₂)
I₂ = 1.2 – 1.2I₂
2.2 I₂ = 1.2

I₂ =	1.2
	2.2

I₂ = 0.545 Amp