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Q-Factor Calculator

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Fundamental Parameters Second Order System

✖Damping Ratio in control system is defined as the ratio with which any signal gets decayed.ⓘ Damping Ratio [ζ]

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-10%

✖Q Factor is non-dimensional characterization of the amount of damping; high Q indicates slow damping relative to the oscillation.ⓘ Q-Factor [Q]

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Q-Factor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Q Factor = 1/(2*Damping Ratio)
Q = 1/(2*ζ)
This formula uses 2 Variables

Variables Used

Q Factor - Q Factor is non-dimensional characterization of the amount of damping; high Q indicates slow damping relative to the oscillation.
Damping Ratio - Damping Ratio in control system is defined as the ratio with which any signal gets decayed.

STEP 1: Convert Input(s) to Base Unit

Damping Ratio: 0.1 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q = 1/(2*ζ) --> 1/(2*0.1)

Evaluating ... ...

Q = 5

STEP 3: Convert Result to Output's Unit

5 --> No Conversion Required

FINAL ANSWER

5 <-- Q Factor

(Calculation completed in 00.004 seconds)

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LaTeX Go Angle of Asymptotes = ((2*(modulus(Number of Poles-Number of Zeroes)-1)+1)*pi)/(modulus(Number of Poles-Number of Zeroes))

Bandwidth Frequency given Damping Ratio

LaTeX Go Bandwidth Frequency = Natural Frequency of Oscillation*(sqrt(1-(2*Damping Ratio^2))+sqrt(Damping Ratio^4-(4*Damping Ratio^2)+2))

Closed Loop Negative Feedback Gain

LaTeX Go Gain with Feedback = Open Loop Gain of an OP-AMP/(1+(Feedback Factor*Open Loop Gain of an OP-AMP))

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LaTeX Go Closed-Loop Gain = 1/Feedback Factor

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Bandwidth Frequency given Damping Ratio

LaTeX Go Bandwidth Frequency = Natural Frequency of Oscillation*(sqrt(1-(2*Damping Ratio^2))+sqrt(Damping Ratio^4-(4*Damping Ratio^2)+2))

First Peak Undershoot

LaTeX Go Peak Undershoot = e^(-(2*Damping Ratio*pi)/(sqrt(1-Damping Ratio^2)))

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LaTeX Go Peak Overshoot = e^(-(pi*Damping Ratio)/(sqrt(1-Damping Ratio^2)))

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LaTeX Go Delay Time = (1+(0.7*Damping Ratio))/Natural Frequency of Oscillation

< Modelling Parameters Calculators

Damping Ratio or Damping Factor

LaTeX Go Damping Ratio = Damping Coefficient/(2*sqrt(Mass*Spring Constant))

Damped Natural Frequency

LaTeX Go Damped Natural Frequency = Natural Frequency of Oscillation*sqrt(1-Damping Ratio^2)

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LaTeX Go Resonant Frequency = Natural Frequency of Oscillation*sqrt(1-2*Damping Ratio^2)

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Q-Factor Formula

LaTeX Go

Q Factor = 1/(2*Damping Ratio)
Q = 1/(2*ζ)

Explain the importance of Q-Factor?

The Q-Factor indicates energy loss relative to the amount of energy stored within the system. Thus the higher the Q the lower the rate of energy loss and hence oscillations will reduce more slowly, i.e. they will have a low level of damping and they will ring for longer.

How to Calculate Q-Factor?

Q-Factor calculator uses Q Factor = 1/(2*Damping Ratio) to calculate the Q Factor, The Q-Factor formula is defined as a non-dimensional characterization of the amount of damping; high Q indicates slow damping relative to the oscillation. Q Factor is denoted by Q symbol.

How to calculate Q-Factor using this online calculator? To use this online calculator for Q-Factor, enter Damping Ratio (ζ) and hit the calculate button. Here is how the Q-Factor calculation can be explained with given input values -> 5 = 1/(2*0.1).

FAQ

What is Q-Factor?

The Q-Factor formula is defined as a non-dimensional characterization of the amount of damping; high Q indicates slow damping relative to the oscillation and is represented as Q = 1/(2*ζ) or Q Factor = 1/(2*Damping Ratio). Damping Ratio in control system is defined as the ratio with which any signal gets decayed.

How to calculate Q-Factor?

The Q-Factor formula is defined as a non-dimensional characterization of the amount of damping; high Q indicates slow damping relative to the oscillation is calculated using Q Factor = 1/(2*Damping Ratio). To calculate Q-Factor, you need Damping Ratio (ζ). With our tool, you need to enter the respective value for Damping Ratio and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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