This calculator allows you to determine the impedances and insulation resistance of a Wilkinson power divider. It is used to distribute power between two output ports while maintaining high isolation and good impedance matching in RF and microwave systems.
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 )
Explanation of formulas
These equations calculate the characteristic impedances (Z1 to Z4) and the balancing resistor (RW) of a Wilkinson divider from the power ratio between the outputs (PA/PB) and the characteristic impedance of the system (Z0). Equal division typically gives an insulation resistance of 100 Ω in a 50 Ω system.
Uses of the calculator
- Design of balanced RF power dividers and combiners.
- Optimized isolation between output ports.
- Used in amplifiers, antenna arrays and microwave systems.
- Useful tool for RF electronics engineers and students.