What is the concept of quality factor using power?

Thread Starter

Luiz Fernando Vieira

Joined Aug 24, 2015
73
When we talk about RLC circuits, we have the following concept of quality factor:

High Qs = High selectivity → The circuit is more accurate and focuses well on the resonance frequency.

Low QS = Low selectivity → The circuit is less accurate and does not focus well on the resonance frequency, covering a wider range of frequencies.

So, you are correct: the higher the QS, the higher the selectivity and the sharper (accurate) the response of the circuit around the desired frequency.

But I didn't understand when we entered the power part I found an image where we have 1/2 power in red and black but I couldn't understand the logic and behavior Could someone explain.

1741892996405.png


Sources: https://pessoal.ect.ufrn.br/~ronai/Principal/PFE2014-2/Aulas/S29/5.html

https://en.wikipedia.org/wiki/Q_factor
 

MrAl

Joined Jun 17, 2014
13,667
When we talk about RLC circuits, we have the following concept of quality factor:

High Qs = High selectivity → The circuit is more accurate and focuses well on the resonance frequency.

Low QS = Low selectivity → The circuit is less accurate and does not focus well on the resonance frequency, covering a wider range of frequencies.

So, you are correct: the higher the QS, the higher the selectivity and the sharper (accurate) the response of the circuit around the desired frequency.

But I didn't understand when we entered the power part I found an image where we have 1/2 power in red and black but I couldn't understand the logic and behavior Could someone explain.

View attachment 344482


Sources: https://pessoal.ect.ufrn.br/~ronai/Principal/PFE2014-2/Aulas/S29/5.html

https://en.wikipedia.org/wiki/Q_factor
Hi,

The real Q factor value is based on energy. It involves the ratio of the energy stored to the energy lost in one cycle.
You'll notice in 2nd order systems the damping factor is due to some resistance, and resistance dissipates energy as heat. If the resistance increases, there is more energy lost and thus the ratio goes down to a lower value.
The sharpness of a filter, or bandwidth, is related to the Q factor also, so you see different filter responses depending on the Q of the filter.

Then there is the Q factor of an inductor, which is a little different. It's the ratio of the inductive reactance to the resistance. It's basically a measure of how close to ideal the inductor is.
 
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