Question

Find the S-parameters for the following two port circuit: Port 1 Y S11 $\frac{(Y_0 - Y_{11})(Y_0 + Y_{22}) + Y_{12}Y_{21}}{\Delta Y}$ Z Port S12 $\frac{-2Y_{12}Y_0}{\Delta Y}$ 2 $S_{21}$ $S_{22}$ $\frac{-2Y_{21}Y_0}{\Delta Y}$ $\frac{(Y_0 + Y_{11})(Y_0 - Y_{22}) + Y_{12}Y_{21}}{\Delta Y}$ $\Delta Y = (Y_{11} + Y_0)(Y_{22} + Y_0) - Y_{12}Y_{21};$

          Find the S-parameters for the following two port circuit:
Port
1
Y
S11
$\frac{(Y_0 - Y_{11})(Y_0 + Y_{22}) + Y_{12}Y_{21}}{\Delta Y}$
Z
Port
S12
$\frac{-2Y_{12}Y_0}{\Delta Y}$
2
$S_{21}$
$S_{22}$
$\frac{-2Y_{21}Y_0}{\Delta Y}$
$\frac{(Y_0 + Y_{11})(Y_0 - Y_{22}) + Y_{12}Y_{21}}{\Delta Y}$
$\Delta Y = (Y_{11} + Y_0)(Y_{22} + Y_0) - Y_{12}Y_{21};$

Find the S-parameters for the following two port circuit:
Port
1
Y
S11
((Y0 - Y11)(Y0 + Y22) + Y12Y21)/(Δ Y)
Z
Port
S12
(-2Y12Y0)/(Δ Y)
2
S21
S22
(-2Y21Y0)/(Δ Y)
((Y0 + Y11)(Y0 - Y22) + Y12Y21)/(Δ Y)
Δ Y = (Y11 + Y0)(Y22 + Y0) - Y12Y21;

Added by Christopher B.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Prachita Kush

01/31/2022

Step 1

Start with the equation for port 1: S11=Z+Y11Yo Show more…

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Find the S-parameters for the following two-port circuit: Y (Yo - Y11Yo + Y22 + Y12Y21) / (Y + 2Y12Yo) / (Y + 2Y21Yo) S11 Z Port 1 Port 2 S12 S21 (Yo + Y11Yo - Y2 + Y12Y21) / Y S22 Y = (Yu + Yo)(Y22 + Yo) - Y12Y21;