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