Find the Y-parameter 'y₁₁' for the given network.

The correct option is 1

Concept:

Y (Admittance) Parameters:

They are also called short circuit parameters, as they are calculated under short circuit conditions, i.e. at V1 = 0 and V2 = 0.

Expressed in Matrix Form as:

I1 = Y11V1 + Y12V2

I2 = Y21V1 + Y22V2

With the output short-circuited, i.e. V2 = 0, the two parameters obtained are:

With the input short-circuited, i.e. V1 = 0, the two parameters obtained are:

Analysis:

To find out Y₁₁ we will short V₂

The Circuit can be redrawn as:

Here 8 Ω will be shorted that is it will be not of any use.

The net equivalent resistance across the circuit will be (2 || 4) = 4/3 Ω

From figure, we have V₁ = I1 x 4/3 V 

The required Y₁₁ = 3/4 = 0.75 S