### Where To Find This Example

#### AWR Version 14

#### AWR Version 13

### Design Notes

**Q Measurement**

This example shows how to measure Q factor in AWRDE.

__Overview__

This project illustrates how to use output equations to calculate Q in a very direct manner. It includes three different schematics, one with capacitor, and another with inductor and last one with spiral inductor. We are measuring Q factor for each schematic.

__Using Measurements for Q__

Several measurements for Q are availble to be used for inductors. Please see the the graphs "Inductor" and "Spiral Inductor" for comparisons of the built in measurements and the equations.

__Using Output Equations to Measure Q__

This example illustrates how to use equations to measure Q.

Q is a measure of the “purity” of a reactive device. Its definition is:

Q = (Energy Stored) / (Energy Dissipated)

Therefore, for and ideal capacitor or inductor, Q is infinite. The more lossy the component is, the lower Q will be.

The equation above can be easily rewritten in the following form:

Q = Im(Y[1,1]) / Re(Y[1,1])

Here, stored energy is indicated by the imaginary part of Y[1,1] and energy dissipated is indicated by the real part of Y[1,1]. The advantage of this representation is that Y[1,1] is an available measurement in MWO, and it leads directly to the desired quantity, Q.

Output Equations are created for each of the two quantities, Re(Y[1,1]) and Im(Y[1,1]). Finally, a regular equation is used to calculate the quotient for Q.

All the equations for this project is included in “Output Equations”. To view these, simply double click on **Output Equations **under **Project **tab.