## Pad Attenuator (Pi, Tee, & Bridged-Tee) Calculator

### Inputs

 Z0 Ohms Ω Attenuation dB

### Formulas Used

Pi Attenuator Tee Attenuator Bridged-tee Attenuator $\frac{1}{\frac{(a^2+1)}{Z_0(\Omega) (a^2-1)}-\frac{1}{R_2}}$ $Z_0(\Omega)\frac{(a^2+1)}{(a^2-1)}-R_2$ $Z_0(\Omega)$ $\frac{(a^2 - 1)}{2a}\sqrt{Z_0(\Omega)^2}$ $\frac{2a}{(a^2 - 1)}\sqrt{Z_0(\Omega)^2}$ $\frac{Z_0(\Omega)}{10^\frac{dB}{20}-1}$ $\frac{1}{\frac{(a^2+1)}{Z_0(\Omega)(a^2-1)}-\frac{1}{R_2}}$ $Z_0(\Omega)\frac{(a^2+1)}{(a^2-1)}-R_2$ $Z_0(\Omega)$ $Z_0(\Omega) \left[ 10^\frac{dB}{20}-1 \right]$
Pi Attenuator
$R_1(\Omega) =$ $\frac{1}{\frac{(a^2+1)}{Z_0(\Omega) (a^2-1)}-\frac{1}{R_2}}$
$R_2(\Omega) =$ $\frac{(a^2 - 1)}{2a}\sqrt{Z_0(\Omega)^2}$
$R_3(\Omega) =$ $\frac{1}{\frac{(a^2+1)}{Z_0(\Omega)(a^2-1)}-\frac{1}{R_2}}$
Tee Attenuator
$R_1(\Omega) =$ $Z_0(\Omega)\frac{(a^2+1)}{(a^2-1)}-R_2$
$R_2(\Omega) =$ $\frac{2a}{(a^2 - 1)}\sqrt{Z_0(\Omega)^2}$
$R_3(\Omega) =$ $Z_0(\Omega)\frac{(a^2+1)}{(a^2-1)}-R_2$
Bridged-tee Attenuator
$R_1(\Omega) =$ $Z_0(\Omega)$
$R_2(\Omega) =$ $\frac{Z_0(\Omega)}{10^\frac{dB}{20}-1}$
$R_3(\Omega) =$ $Z_0(\Omega)$
$R_4(\Omega) =$ $Z_0(\Omega) \left[ 10^\frac{dB}{20}-1 \right]$
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