Difference between revisions of "Quality Factor"
Jump to navigation
Jump to search
(Created page with "Let us review the many definitions of the '''quality factor''', <math>Q</math>. This context-dependent metric can allow us to gain important insights on the behavior and imple...") |
|||
| Line 2: | Line 2: | ||
== Component Quality Factor == | == Component Quality Factor == | ||
| + | For a transfer function that we can write as: | ||
| + | |||
| + | {{NumBlk|::|<math> | ||
| + | H\left(j\omega\right) = \frac{1}{R\left(\omega\right) + jX\left(\omega\right)} | ||
| + | </math>|{{EquationRef|1}}}} | ||
| + | |||
| + | We can define the component quality factor as: | ||
| + | |||
| + | {{NumBlk|::|<math> | ||
| + | Q = \left| \frac{\text{energy stored}}{\text{average power dissipated}\right| \text{per unit time} = \frac{X\left(\omega\right)}{R\left(\omega\right)} | ||
| + | </math>|{{EquationRef|1}}}} | ||
== Pole Quality Factor == | == Pole Quality Factor == | ||
== Band-Pass Filter Quality Factor == | == Band-Pass Filter Quality Factor == | ||
Revision as of 19:09, 16 March 2021
Let us review the many definitions of the quality factor, . This context-dependent metric can allow us to gain important insights on the behavior and implementation of energy storage and loss in circuits.
Component Quality Factor
For a transfer function that we can write as:
-
(1)
-
We can define the component quality factor as:
-
(1)
-
