Tuned Factor of Hybrid Filter Calculator

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✖Angular Frequency is a scalar measure of the rate of change of an angle or the temporal rate of change of the phase argument of a sinusoidal waveform or sine function.ⓘ Angular Frequency [ω]			+10% -10%
✖Angular Resonant Frequency is the frequency at which the filter will resonate without any external driving force.ⓘ Angular Resonant Frequency [ω_n]			+10% -10%

✖Tuned Factor is a dimensionless measure of the sharpness of a resonant circuit.ⓘ Tuned Factor of Hybrid Filter [δ]

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Formula

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Tuned Factor of Hybrid Filter

Formula

`"δ" = ("ω"-"ω"_{"n"})/"ω"_{"n"}`

Example

`"0.281025"=("32rad/s"-"24.98rad/s")/"24.98rad/s"`

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Tuned Factor of Hybrid Filter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Tuned Factor = (Angular Frequency-Angular Resonant Frequency)/Angular Resonant Frequency
δ = (ω-ω_n)/ω_n
This formula uses 3 Variables

Variables Used

Tuned Factor - Tuned Factor is a dimensionless measure of the sharpness of a resonant circuit.
Angular Frequency - (Measured in Radian per Second) - Angular Frequency is a scalar measure of the rate of change of an angle or the temporal rate of change of the phase argument of a sinusoidal waveform or sine function.
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.

STEP 1: Convert Input(s) to Base Unit

Angular Frequency: 32 Radian per Second --> 32 Radian per Second No Conversion Required
Angular Resonant Frequency: 24.98 Radian per Second --> 24.98 Radian per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

δ = (ω-ω_n)/ω_n --> (32-24.98)/24.98

Evaluating ... ...

δ = 0.281024819855885

STEP 3: Convert Result to Output's Unit

0.281024819855885 --> No Conversion Required

FINAL ANSWER

0.281024819855885 ≈ 0.281025 <-- Tuned Factor

(Calculation completed in 00.020 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

Tuned Factor of Hybrid Filter Formula

Tuned Factor = (Angular Frequency-Angular Resonant Frequency)/Angular Resonant Frequency
δ = (ω-ω_n)/ω_n

What are the benefits of using a hybrid filter with a high tuned factor?

Benefits of using a hybrid filter with a high tuned factor include :

Enhanced Selectivity: A high tuned factor indicates a narrower bandwidth, allowing the filter to distinguish more precisely between desired and unwanted frequencies. This selectivity is crucial for applications where precise frequency filtering is essential, such as in communication systems, medical imaging, and scientific instrumentation.

Improved Noise Reduction: The sharp transition between the passband and stopband of a high-Q hybrid filter effectively suppresses unwanted noise and interference signals. This noise reduction capability is particularly beneficial in environments with high levels of electromagnetic interference or in applications that demand low-noise signal processing.

Reduced Ripple and Distortion: A high-Q hybrid filter effectively attenuates harmonics and high-frequency noise, minimizing ripple and distortion in the output signal. This improve

How to Calculate Tuned Factor of Hybrid Filter?

Tuned Factor of Hybrid Filter calculator uses Tuned Factor = (Angular Frequency-Angular Resonant Frequency)/Angular Resonant Frequency to calculate the Tuned Factor, The Tuned Factor of Hybrid Filter formula is defined as a measure of its selectivity, or how well it can distinguish between desired and unwanted frequencies. Tuned Factor is denoted by δ symbol.

How to calculate Tuned Factor of Hybrid Filter using this online calculator? To use this online calculator for Tuned Factor of Hybrid Filter, enter Angular Frequency (ω) & Angular Resonant Frequency (ω_n) and hit the calculate button. Here is how the Tuned Factor of Hybrid Filter calculation can be explained with given input values -> 0.280512 = (32-24.98)/24.98.

FAQ

What is Tuned Factor of Hybrid Filter?

The Tuned Factor of Hybrid Filter formula is defined as a measure of its selectivity, or how well it can distinguish between desired and unwanted frequencies and is represented as δ = (ω-ω_n)/ω_n or Tuned Factor = (Angular Frequency-Angular Resonant Frequency)/Angular Resonant Frequency. Angular Frequency is a scalar measure of the rate of change of an angle or the temporal rate of change of the phase argument of a sinusoidal waveform or sine function & Angular Resonant Frequency is the frequency at which the filter will resonate without any external driving force.

How to calculate Tuned Factor of Hybrid Filter?

The Tuned Factor of Hybrid Filter formula is defined as a measure of its selectivity, or how well it can distinguish between desired and unwanted frequencies is calculated using Tuned Factor = (Angular Frequency-Angular Resonant Frequency)/Angular Resonant Frequency. To calculate Tuned Factor of Hybrid Filter, you need Angular Frequency (ω) & Angular Resonant Frequency (ω_n). With our tool, you need to enter the respective value for Angular Frequency & Angular Resonant Frequency 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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