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-ωn)/ωn
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-ωn)/ωn --> (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)

Credits

Created by Suma Madhuri
VIT University (VIT), Chennai
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15 Power Filters Calculators

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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
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Tuned Factor of Hybrid Filter Formula

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

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 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-ωn)/ωn 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 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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