021/100 Distributed Inductance and Capacitance
100 ADS Design Examples Based on the Textbook: RF and Microwave Circuit Design
November 2019
Michael Benker
Example 2.11-2D: Convert the lumped element capacitors and inductors to distributed elements.
This is the schematic that needs to be changed into distributed element microstrip lines:
The following formulas are needed to calculate the inductive and capacitive line lengths to simulate this schematic using microstrip lines.
Inductive line length: (frequency)*(wavelength)*(Inductance)/(impedance of line)
Capacitive line length: (frequency)*(wavelength)*(Capacitance)*(impedance of line)
In order to know what at which frequency the inductance or capacitance are calculated, let’s run the simulation of the above circuit:
This circuit is centered at 10 GHz, since the circuit behaves as a terminated open-circuited transmission line with an open-parallel resonance at 180 degrees, or twice the length of a quarter wave line.
The above circuit is then modeled as follows:
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