Resonant Frequency of Passive Filter Calculator

↳

Electronics

Chemical Engineering

Civil

Electrical

Electronics and Instrumentation

Materials Science

Mechanical

Production Engineering

⤿

Power Filters

Rectifier Circuits

✖Inductance is the property of an electrical conductor to oppose a change in the electric current flowing through it.ⓘ Inductance [L]			+10% -10%
✖Capacitance is the ability of a material object or device to store electric charge.ⓘ Capacitance [C]			+10% -10%

✖Resonant Frequency is the natural frequency at which a system tends to vibrate at the highest amplitude.ⓘ Resonant Frequency of Passive Filter [f_r]

⎘ Copy

👎

Formula

✖

Resonant Frequency of Passive Filter

Formula

`"f"_{"r"} = 1/(2*pi*sqrt("L"*"C"))`

Example

`"0.002516Hz"=1/(2*pi*sqrt("50H"*"80F"))`

Calculator

LaTeX

Reset

👍

Download Power Filters Formulas PDF PDF Image

Resonant Frequency of Passive Filter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Resonant Frequency = 1/(2*pi*sqrt(Inductance*Capacitance))
f_r = 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 - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., 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

f_r = 1/(2*pi*sqrt(L*C)) --> 1/(2*pi*sqrt(50*80))

Evaluating ... ...

f_r = 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 00.004 seconds)

You are here -

Home » Engineering » Electronics » Power Electronics » Power Filters » Resonant Frequency of Passive Filter

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 600+ 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 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))
f_r = 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 f_r 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 f_r = 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.

Home

FREE PDFs

🔍 Search