If there is an active resistor R in a series resonant circuit, the differential equation for damping charge resonance in the resonant circuit is described by the formula:
We introduce the attenuation coefficient
The formula can be rewritten as
The solution of this equation is an expression
It can be seen that the frequency ω of damping resonance in a series resonant circuit depends on the parameters of the circuit and is described by the following formula:
The logarithmic reduction of attenuation is determined by the formula, and the quality factor of the circuit is also determined by its parameters
As the damping coefficient δ increases, the period of damping resonance increases, and when it
When it becomes infinite, that is, as the vibration increases, the period of damping resonance increases. Exercise is no longer periodic. In this case, the resonance quantity tends to zero. This process is called non periodic. Technically, this is called damping.
The arrows of measuring instruments (voltmeter, ammeter, liquid level indicator) are usually connected to dampers, which can smoothly attenuate critical deviations. If the damping is too weak, the arrow will fluctuate for a long time before being determined to a certain value. If it is large, the arrow will slowly climb to the correct value and there will be no time to track the rapid changes in recording levels.
