Resistor resistance in Wilkinson divider

The Wilkinson divider is a device designed to divide the power of a microwave signal into two output ports. The microstrip version has one surface-mounted resistor. The resistance of this resistor depends on the resistance of the transmission line and the power ratio at the output ports.

resistance

electrical_resistance of the resistor.

Symbol:

R

Latex:

\(R\)

Dimension:

impedance

transmission_line_resistance

electrical_resistance of the transmission line.

Symbol:

R_0

Latex:

\(R_{0}\)

Dimension:

impedance

power_ratio

Ratio of the power at the outputs of the divider.

Symbol:

k

Latex:

\(k\)

Dimension:

dimensionless

law

R = R_0 * (1 + k^2) / k

Latex:
\[R = \frac{R_{0} \left(1 + k^{2}\right)}{k}\]