Smith Chart ically solves the following bi-linear formulas Z eq ( l ) Z 0 = 1+ ρe −2 jkl ( ) 1− ρe −2 jkl ( ) ρ = Z L / Z 0 ( ) −1 Z L / Z 0 ( ) +1 ote: works for admittance too. Y eq ( l ) Y 0 = Z eq ( l ) Z 0 ⎛ ⎛ ⎛ ⎛ ⎛ ⎛ −1 = 1− ρe −2 jkl ( ) 1+ ρe −2 jkl ( ) ρ → −ρ Just switch sign o
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Smith Chart Graphically solves the following bi-linear formulas Note: works for admittance too. Just switch sign of
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Smith ChartGraphically solves the following bi-linear formulas
Zeq (l)
Z0
=1+ ρ e−2 jkl( )1− ρ e−2 jkl( )
ρ =
ZL / Z0( ) −1
ZL / Z0( ) +1
Note: works for admittance too.
Yeq (l)
Y0
=Zeq(l)Z0
⎛
⎝⎜⎞
⎠⎟
−1
=1− ρ e−2 jkl( )1+ ρ e−2 jkl( )
ρ → −ρ
Just switch sign of ρ
Smith chart is the interior of the unit circle in the complex plane