Quality Factor of Passive Filter Calculator

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✖Angular Resonant Frequency is the frequency at which the filter will resonate without any external driving force.ⓘ Angular Resonant Frequency [ω_n]			+10% -10%
✖Inductance is the property of an electrical conductor to oppose a change in the electric current flowing through it.ⓘ Inductance [L]			+10% -10%
✖Resistance is the opposition to current flow in an electrical circuit.ⓘ Resistance [R]			+10% -10%

✖Quality Factor is a dimensionless parameter that describes how underdamped an oscillator or resonator is.ⓘ Quality Factor of Passive Filter [Q]

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Formula

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Quality Factor of Passive Filter

Formula

`"Q" = ("ω"_{"n"}*"L")/"R"`

Example

`"8.332221"=("24.98rad/s"*"50H")/"149.9Ω"`

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Quality Factor of Passive Filter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Quality Factor = (Angular Resonant Frequency*Inductance)/Resistance
Q = (ω_n*L)/R
This formula uses 4 Variables

Variables Used

Quality Factor - Quality Factor is a dimensionless parameter that describes how underdamped an oscillator or resonator is.
Angular Resonant Frequency - (Measured in Radian per Second) - Angular Resonant Frequency is the frequency at which the filter will resonate without any external driving force.
Inductance - (Measured in Henry) - Inductance is the property of an electrical conductor to oppose a change in the electric current flowing through it.
Resistance - (Measured in Ohm) - Resistance is the opposition to current flow in an electrical circuit.

STEP 1: Convert Input(s) to Base Unit

Angular Resonant Frequency: 24.98 Radian per Second --> 24.98 Radian per Second No Conversion Required
Inductance: 50 Henry --> 50 Henry No Conversion Required
Resistance: 149.9 Ohm --> 149.9 Ohm No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q = (ω_n*L)/R --> (24.98*50)/149.9

Evaluating ... ...

Q = 8.33222148098733

STEP 3: Convert Result to Output's Unit

8.33222148098733 --> No Conversion Required

FINAL ANSWER

8.33222148098733 ≈ 8.332221 <-- Quality Factor

(Calculation completed in 00.004 seconds)

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Credits

Created by Suma Madhuri

VIT University (VIT), Chennai

Suma Madhuri has created this Calculator and 50+ more calculators!

Verified by Parminder Singh

Chandigarh University (CU), Punjab

Parminder Singh has verified this Calculator and 500+ more calculators!

< 15 Power Filters Calculators

Cut-off Frequency in Bandpass Filter for Parallel RLC Circuit

Go Cutoff Frequency = (1/(2*Resistance*Capacitance))+(sqrt((1/(2*Resistance*Capacitance))^2+1/(Inductance*Capacitance)))

Corner Frequency in Bandpass Filter for Series RLC Circuit

Go Corner Frequency = (Resistance/(2*Inductance))+(sqrt((Resistance/(2*Inductance))^2+1/(Inductance*Capacitance)))

Phase Angle of Low Pass RC Filter

Go Phase Angle = 2*arctan(2*pi*Frequency*Resistance*Capacitance)

Keying Parameter of Parallel RLC Bandpass Filter

Go Keying Parameter = ((Inductance+Leakage Inductance)*Cutoff Frequency)/(2*DC Voltage)

Resonant Frequency of Passive Filter

Go Resonant Frequency = 1/(2*pi*sqrt(Inductance*Capacitance))

Tuned Factor of Hybrid Filter

Go Tuned Factor = (Angular Frequency-Angular Resonant Frequency)/Angular Resonant Frequency

Voltage across Passive Filter Capacitor

Go Voltage across the Passive Filter Capacitor = Filter Transfer Function*Fundamental Frequency Component

Angular Resonant Frequency of Passive Filter

Go Angular Resonant Frequency = (Resistance*Quality Factor)/Inductance

Quality Factor of Passive Filter

Go Quality Factor = (Angular Resonant Frequency*Inductance)/Resistance

Resistance of Passive Filter

Go Resistance = (Angular Resonant Frequency*Inductance)/Quality Factor

Slope of Triangular Waveform of Active Power Filter

Go Triangular Waveform Slope = 4*Triangular Waveform Amplitude*Triangular Waveform Frequency

Gain of Active Power Filter

Go Active Power Filter Gain = Voltage Harmonic Waveform/Harmonic Current Component

Gain of Converter of Active Power Filter

Go Gain of Converter = DC Voltage/(2*Triangular Waveform Amplitude)

Amplitude of Active Power Filter

Go Triangular Waveform Amplitude = DC Voltage/(2*Gain of Converter)

Keying Index of Parallel RLC Bandpass Filter

Go Keying Index = Cutoff Frequency*Keying Parameter

Quality Factor of Passive Filter Formula

Quality Factor = (Angular Resonant Frequency*Inductance)/Resistance
Q = (ω_n*L)/R

What are the benefits of a high Quality Factor?

A high Quality Factor results in a sharper filter with better selectivity. This is desirable for many applications, such as audio and radio receivers, telecommunication systems, and medical equipment.

How to Calculate Quality Factor of Passive Filter?

Quality Factor of Passive Filter calculator uses Quality Factor = (Angular Resonant Frequency*Inductance)/Resistance to calculate the Quality Factor, The Quality Factor of Passive Filter formula is defined as the ratio of the reactive energy stored in the filter to the energy lost in one cycle of oscillation. Quality Factor is denoted by Q symbol.

How to calculate Quality Factor of Passive Filter using this online calculator? To use this online calculator for Quality Factor of Passive Filter, enter Angular Resonant Frequency (ω_n), Inductance (L) & Resistance (R) and hit the calculate button. Here is how the Quality Factor of Passive Filter calculation can be explained with given input values -> 8.335557 = (24.98*50)/149.9.

FAQ

What is Quality Factor of Passive Filter?

The Quality Factor of Passive Filter formula is defined as the ratio of the reactive energy stored in the filter to the energy lost in one cycle of oscillation and is represented as Q = (ω_n*L)/R or Quality Factor = (Angular Resonant Frequency*Inductance)/Resistance. Angular Resonant Frequency is the frequency at which the filter will resonate without any external driving force, Inductance is the property of an electrical conductor to oppose a change in the electric current flowing through it & Resistance is the opposition to current flow in an electrical circuit.

How to calculate Quality Factor of Passive Filter?

The Quality Factor of Passive Filter formula is defined as the ratio of the reactive energy stored in the filter to the energy lost in one cycle of oscillation is calculated using Quality Factor = (Angular Resonant Frequency*Inductance)/Resistance. To calculate Quality Factor of Passive Filter, you need Angular Resonant Frequency (ω_n), Inductance (L) & Resistance (R). With our tool, you need to enter the respective value for Angular Resonant Frequency, Inductance & Resistance 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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