The 2-port network of fig. (1) has Y-parameter .The network

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The 2-port network of fig. (1) has Y-parameter .The network is excited as shown in fig. (2). If I_X = I_Y, the current I drawn from the source would be—

1. V (Y₁₁ + Y₁₂ + Y₂₁ + Y₂₂)
2. V (Y₁₁ + Y₂₂)
3. V (Y₁₁)
4. V (Y₁₁ + Y₂₂ + Y₁₂ – Y₂₁)

Correct Option: A

From the figure (1)
I₁ = V₁ Y₁₁ + V₂ Y₁₂ (i)
I₂ = V₁ Y₂₁ + V₂ Y₂₂ (ii)
As from the figure (2) it is clear that terminal 2 and terminal 1 are at the same potential i.e.
V₁ = V₂ = V
and I = I₁ + I₂
or I = V (Y₁₁ + Y₁₂) + V (Y₂₁ + Y₂₂)
or I = V (Y₁₁ + Y₁₂ + Y₂₁ + Y₂₂)