## 032/100 Series Resonant Circuits

100 ADS Design Examples Based on the Textbook: RF and Microwave Circuit Design

November 2019

Michael Benker

**Example 4.2-1: Analyze a one port series RLC circuit with R = 10 Ohms, L = 10 nH and C = 10 pF.**

According to the following results, the input impedance at resonance is 10 Ohms, which is the value of the resistor.

The input impedance of an RLC series circuit is modeled by the following formula, a rather basic expression:* Z = R + jwL + 1/(jwC)*

The power delivered to the resonator is: *P = |I|^2 * Z / 2. *

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