## Quality Factor of Passive Filter Solution

STEP 0: Pre-Calculation Summary
Formula Used
Quality Factor = (Angular Resonant Frequency*Inductance)/Resistance
Q = (ωn*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 = (ωn*L)/R --> (24.98*50)/149.9
Evaluating ... ...
Q = 8.33222148098733
STEP 3: Convert Result to Output's Unit
8.33222148098733 --> No Conversion Required
8.33222148098733 8.332221 <-- Quality Factor
(Calculation completed in 00.004 seconds)
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## < 15 Power Filters Calculators

Cut-off Frequency in Bandpass Filter for Parallel RLC Circuit
Cutoff Frequency = (1/(2*Resistance*Capacitance))+(sqrt((1/(2*Resistance*Capacitance))^2+1/(Inductance*Capacitance)))
Corner Frequency in Bandpass Filter for Series RLC Circuit
Corner Frequency = (Resistance/(2*Inductance))+(sqrt((Resistance/(2*Inductance))^2+1/(Inductance*Capacitance)))
Phase Angle of Low Pass RC Filter
Phase Angle = 2*arctan(2*pi*Frequency*Resistance*Capacitance)
Keying Parameter of Parallel RLC Bandpass Filter
Keying Parameter = ((Inductance+Leakage Inductance)*Cutoff Frequency)/(2*DC Voltage)
Resonant Frequency of Passive Filter
Resonant Frequency = 1/(2*pi*sqrt(Inductance*Capacitance))
Tuned Factor of Hybrid Filter
Tuned Factor = (Angular Frequency-Angular Resonant Frequency)/Angular Resonant Frequency
Voltage across Passive Filter Capacitor
Voltage across the Passive Filter Capacitor = Filter Transfer Function*Fundamental Frequency Component
Angular Resonant Frequency of Passive Filter
Angular Resonant Frequency = (Resistance*Quality Factor)/Inductance
Quality Factor of Passive Filter
Quality Factor = (Angular Resonant Frequency*Inductance)/Resistance
Resistance of Passive Filter
Resistance = (Angular Resonant Frequency*Inductance)/Quality Factor
Slope of Triangular Waveform of Active Power Filter
Triangular Waveform Slope = 4*Triangular Waveform Amplitude*Triangular Waveform Frequency
Gain of Active Power Filter
Active Power Filter Gain = Voltage Harmonic Waveform/Harmonic Current Component
Gain of Converter of Active Power Filter
Gain of Converter = DC Voltage/(2*Triangular Waveform Amplitude)
Amplitude of Active Power Filter
Triangular Waveform Amplitude = DC Voltage/(2*Gain of Converter)
Keying Index of Parallel RLC Bandpass Filter
Keying Index = Cutoff Frequency*Keying Parameter

## Quality Factor of Passive Filter Formula

Quality Factor = (Angular Resonant Frequency*Inductance)/Resistance
Q = (ωn*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 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 = (ωn*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 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. Let Others Know