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Y - parameters

For the given...

Question

For the given two port network, the Y-parameter $Y_{21}$ is __________ $℧$ .

A

-4.5

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B

-2.5

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C

3.6

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D

-7.6

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Solution

The correct option is B -2.5
$Y_{21} = \frac{I_{2}}{V_{1}} |_{V_{2} = 0}$ (short circuit output terminal)

$V_{1} + 2 I_{2} + 4 V_{1} = 0$
$V_{1} [1 + 4] = - 2 I_{2}$
$Y_{21} = \frac{I_{2}}{V_{1}} = \frac{5}{2} = - 2.5 ℧$

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