LCM of three numbers

Quality Factor of Passive Filter Calculator

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Power Filters Rectifier Circuits

✖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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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 00.020 seconds)

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Created by Suma Madhuri

VIT University (VIT), Chennai

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< Power Filters Calculators

Cut-off Frequency in Bandpass Filter for Parallel RLC Circuit

LaTeX 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

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

Keying Parameter of Parallel RLC Bandpass Filter

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

Keying Index of Parallel RLC Bandpass Filter

LaTeX Go Keying Index = Cutoff Frequency*Keying Parameter

Quality Factor of Passive Filter Formula

LaTeX Go

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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