This calculator helps determine impedance values and the resistor needed for designing a Wilkinson power divider, used to split input signals evenly or unevenly with minimal loss and high isolation between output ports.
Formulas
Z1 = Z0 * ( ( (PA/PB)^-1.5 + (PA/PB)^-0.5 )^0.5 )
Z2 = Z0 * ( ( 1 + (PA/PB)^0.5 )^0.25 )
Z3 = Z0 * ( (PA/PB)^-0.25 )
Z4 = Z0 * ( (PA/PB)^0.25 )
RW = Z0 * ( (PA/PB)^0.5 + (PA/PB)^-0.5 )
Formula Explanation
- Z0 is the system impedance, typically 50 ohms.
- PA and PB define the output power ratio.
- Z2, Z3, and Z4 are line impedances that maintain matching and balance.
- RW provides isolation between outputs to prevent interference.
50 ohm equal split Wilkinson power divider example
Input: Z0 = 50 Ω, PA = PB
Output:
- Z1 = Z2 = Z3 = Z4 = 70.7 Ω
- RW = 100 Ω
Who uses it
Helpful for RF engineers and antenna designers working on signal splitters, combiners, and impedance-matched circuits.