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

Inputs

Z₀ Ohms Ω
Attenuation dB

Outputs

Pi Attenuator:

Tee Attenuator:

Bridged-Tee Attenuator:

Formulas Used

	Pi Attenuator	Tee Attenuator	Bridged-tee Attenuator
$R_{1} (Ω) =$	$\frac{1}{\frac{(a^{2} + 1)}{Z_{0} (Ω) (a^{2} - 1)} - \frac{1}{R_{2}}}$	$Z_{0} (Ω) \frac{(a^{2} + 1)}{(a^{2} - 1)} - R_{2}$	$Z_{0} (Ω)$
$R_{2} (Ω) =$	$\frac{(a^{2} - 1)}{2 a} \sqrt{{Z_{0} (Ω)}^{2}}$	$\frac{2 a}{(a^{2} - 1)} \sqrt{{Z_{0} (Ω)}^{2}}$	$\frac{Z_{0} (Ω)}{10^{\frac{d B}{20}} - 1}$
$R_{3} (Ω) =$	$\frac{1}{\frac{(a^{2} + 1)}{Z_{0} (Ω) (a^{2} - 1)} - \frac{1}{R_{2}}}$	$Z_{0} (Ω) \frac{(a^{2} + 1)}{(a^{2} - 1)} - R_{2}$	$Z_{0} (Ω)$
$R_{4} (Ω) =$			$Z_{0} (Ω) 10^{\frac{d B}{20}} - 1]$

Pi Attenuator
$R_{1} (Ω) =$	$\frac{1}{\frac{(a^{2} + 1)}{Z_{0} (Ω) (a^{2} - 1)} - \frac{1}{R_{2}}}$
$R_{2} (Ω) =$	$\frac{(a^{2} - 1)}{2 a} \sqrt{{Z_{0} (Ω)}^{2}}$
$R_{3} (Ω) =$	$\frac{1}{\frac{(a^{2} + 1)}{Z_{0} (Ω) (a^{2} - 1)} - \frac{1}{R_{2}}}$

Tee Attenuator
$R_{1} (Ω) =$	$Z_{0} (Ω) \frac{(a^{2} + 1)}{(a^{2} - 1)} - R_{2}$
$R_{2} (Ω) =$	$\frac{2 a}{(a^{2} - 1)} \sqrt{{Z_{0} (Ω)}^{2}}$
$R_{3} (Ω) =$	$Z_{0} (Ω) \frac{(a^{2} + 1)}{(a^{2} - 1)} - R_{2}$

Bridged-tee Attenuator
$R_{1} (Ω) =$	$Z_{0} (Ω)$
$R_{2} (Ω) =$	$\frac{Z_{0} (Ω)}{10^{\frac{d B}{20}} - 1}$
$R_{3} (Ω) =$	$Z_{0} (Ω)$
$R_{4} (Ω) =$	$Z_{0} (Ω) 10^{\frac{d B}{20}} - 1]$

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