for the following circuit, i am trying to find the y parameters(adsbygoogle = window.adsbygoogle || []).push({});

i have found y11, y12, and y22 to match the answer that my text provides, but i am having trouble with y21

the solution given is y11 = 1.5, y12 = -0.5, y21 = 4, y22 = -0.5

in trying to solve for y21, i get 4.5

this is what i attempted:

short the voltage source at port 2

I_{1}= (v_{1}- v_{a})/2 - v_{1}

= -0.5(v_{1}/2 - 3I_{1}- v_{1}) - v_{1}

= -0.5(-0.5v_{1}- 3I_{1}) - v_{1}

= 0.25v_{1}+ 1.5I_{1}- v_{1}

-0.5I_{1}= -0.75v_{1}

I_{2}= 3I_{1}

I_{1}= (1/3)I_{2}

-0.5((1/3)I_{2}) = -0.75v_{1}

y21 = I_{2}/v_{1}= 18/4 = 4.5

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# 2 port network Y parameters

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