Resonant Frequency of Passive Filter Solution

STEP 0: Pre-Calculation Summary
Formula Used
Resonant Frequency = 1/(2*pi*sqrt(Inductance*Capacitance))
fr = 1/(2*pi*sqrt(L*C))
This formula uses 1 Constants, 1 Functions, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
sqrt - Square root function, sqrt(Number)
Variables Used
Resonant Frequency - (Measured in Hertz) - Resonant Frequency is the natural frequency at which a system tends to vibrate at the highest amplitude.
Inductance - (Measured in Henry) - Inductance is the property of an electrical conductor to oppose a change in the electric current flowing through it.
Capacitance - (Measured in Farad) - Capacitance is the ability of a material object or device to store electric charge.
STEP 1: Convert Input(s) to Base Unit
Inductance: 50 Henry --> 50 Henry No Conversion Required
Capacitance: 80 Farad --> 80 Farad No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
fr = 1/(2*pi*sqrt(L*C)) --> 1/(2*pi*sqrt(50*80))
Evaluating ... ...
fr = 0.00251646060522435
STEP 3: Convert Result to Output's Unit
0.00251646060522435 Hertz --> No Conversion Required
FINAL ANSWER
0.00251646060522435 0.002516 Hertz <-- Resonant Frequency
(Calculation completed in 00.020 seconds)

Credits

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VIT University (VIT), Chennai
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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

Resonant Frequency of Passive Filter Formula

Resonant Frequency = 1/(2*pi*sqrt(Inductance*Capacitance))
fr = 1/(2*pi*sqrt(L*C))

What are some applications where the resonant frequency of a circuit is important?

The resonant frequency of a circuit is important in many applications, such as radio receivers, filters, and oscillators. For example, the resonant frequency of a filter determines the frequency of the signal that will be passed through the filter.

How to Calculate Resonant Frequency of Passive Filter?

Resonant Frequency of Passive Filter calculator uses Resonant Frequency = 1/(2*pi*sqrt(Inductance*Capacitance)) to calculate the Resonant Frequency, The Resonant Frequency of Passive Filter formula is defined as is the natural frequency at which a system tends to vibrate at the highest amplitude. It is the frequency at which the system's stored energy is transferred back and forth between its potential and kinetic forms most efficiently. Resonant Frequency is denoted by fr symbol.

How to calculate Resonant Frequency of Passive Filter using this online calculator? To use this online calculator for Resonant Frequency of Passive Filter, enter Inductance (L) & Capacitance (C) and hit the calculate button. Here is how the Resonant Frequency of Passive Filter calculation can be explained with given input values -> 0.002516 = 1/(2*pi*sqrt(50*80)).

FAQ

What is Resonant Frequency of Passive Filter?
The Resonant Frequency of Passive Filter formula is defined as is the natural frequency at which a system tends to vibrate at the highest amplitude. It is the frequency at which the system's stored energy is transferred back and forth between its potential and kinetic forms most efficiently and is represented as fr = 1/(2*pi*sqrt(L*C)) or Resonant Frequency = 1/(2*pi*sqrt(Inductance*Capacitance)). Inductance is the property of an electrical conductor to oppose a change in the electric current flowing through it & Capacitance is the ability of a material object or device to store electric charge.
How to calculate Resonant Frequency of Passive Filter?
The Resonant Frequency of Passive Filter formula is defined as is the natural frequency at which a system tends to vibrate at the highest amplitude. It is the frequency at which the system's stored energy is transferred back and forth between its potential and kinetic forms most efficiently is calculated using Resonant Frequency = 1/(2*pi*sqrt(Inductance*Capacitance)). To calculate Resonant Frequency of Passive Filter, you need Inductance (L) & Capacitance (C). With our tool, you need to enter the respective value for Inductance & Capacitance 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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