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Resonant Frequency of Passive Filter Formula

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Resonant Frequency is the natural frequency at which a system tends to vibrate at the highest amplitude. Check FAQs

f r = \frac{1}{2 \cdot π \cdot \sqrt{L \cdot C}}

f_r - Resonant Frequency?L - Inductance?C - Capacitance?π - Archimedes' constant?

Resonant Frequency of Passive Filter Example

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Here is how the Resonant Frequency of Passive Filter equation looks like with Values.

Here is how the Resonant Frequency of Passive Filter equation looks like with Units.

Here is how the Resonant Frequency of Passive Filter equation looks like.

0.0025 = \frac{1}{2 \cdot 3.1416 \cdot \sqrt{50 \cdot 80}}

0.0025Hz = \frac{1}{2 \cdot 3.1416 \cdot \sqrt{50H \cdot 80F}}

0.0025 = \frac{1}{2 \cdot 3.1416 \cdot \sqrt{50 \cdot 80}}

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Resonant Frequency of Passive Filter Solution

Follow our step by step solution on how to calculate Resonant Frequency of Passive Filter?

FIRST Step Consider the formula

f r = \frac{1}{2 \cdot π \cdot \sqrt{L \cdot C}}

Next Step Substitute values of Variables

∴

f r = \frac{1}{2 \cdot π \cdot \sqrt{50H \cdot 80F}}

Next Step Substitute values of Constants

∴

f r = \frac{1}{2 \cdot 3.1416 \cdot \sqrt{50H \cdot 80F}}

Next Step Prepare to Evaluate

∴

f r = \frac{1}{2 \cdot 3.1416 \cdot \sqrt{50 \cdot 80}}

Next Step Evaluate

∴

f r = 0.00251646060522435Hz

LAST Step Rounding Answer

∴

f r = 0.0025Hz

Resonant Frequency of Passive Filter Formula Elements

Variables

Constants

Functions

Resonant Frequency

Resonant Frequency is the natural frequency at which a system tends to vibrate at the highest amplitude.

Symbol: f_r

Measurement: FrequencyUnit: Hz

Note: Value should be greater than 0.

Formulas to find Resonant Frequency

Inductance

Inductance is the property of an electrical conductor to oppose a change in the electric current flowing through it.

Symbol: L

Measurement: InductanceUnit: H

Note: Value should be greater than 0.

Formulas to find Inductance

Capacitance

Capacitance is the ability of a material object or device to store electric charge.

Symbol: C

Measurement: CapacitanceUnit: F

Note: Value should be greater than 0.

Formulas to find Capacitance

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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.

Syntax: sqrt(Number)

Other formulas in Power Filters category

Go Corner Frequency in Bandpass Filter for Series RLC Circuit

f c = (\frac{R}{2 \cdot L}) + (\sqrt{{(\frac{R}{2 \cdot L})}^{2} + \frac{1}{L \cdot C}})

Go Cut-off Frequency in Bandpass Filter for Parallel RLC Circuit

ω c = (\frac{1}{2 \cdot R \cdot C}) + (\sqrt{{(\frac{1}{2 \cdot R \cdot C})}^{2} + \frac{1}{L \cdot C}})

Go Keying Parameter of Parallel RLC Bandpass Filter

k p' = \frac{(L + L o) \cdot ω c}{2 \cdot V dc}

Go Keying Index of Parallel RLC Bandpass Filter

k i' = ω c \cdot k p'

How to Evaluate Resonant Frequency of Passive Filter?

Resonant Frequency of Passive Filter evaluator uses Resonant Frequency = 1/(2*pi*sqrt(Inductance*Capacitance)) to evaluate 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 evaluate Resonant Frequency of Passive Filter using this online evaluator? To use this online evaluator for Resonant Frequency of Passive Filter, enter Inductance (L) & Capacitance (C) and hit the calculate button.

FAQs on Resonant Frequency of Passive Filter

What is the formula to find Resonant Frequency of Passive Filter?

The formula of Resonant Frequency of Passive Filter is expressed as Resonant Frequency = 1/(2*pi*sqrt(Inductance*Capacitance)). Here is an example- 0.002516 = 1/(2*pi*sqrt(50*80)).

How to calculate Resonant Frequency of Passive Filter?

With Inductance (L) & Capacitance (C) we can find Resonant Frequency of Passive Filter using the formula - Resonant Frequency = 1/(2*pi*sqrt(Inductance*Capacitance)). This formula also uses Archimedes' constant and Square Root Function function(s).

Can the Resonant Frequency of Passive Filter be negative?

No, the Resonant Frequency of Passive Filter, measured in Frequency cannot be negative.

Which unit is used to measure Resonant Frequency of Passive Filter?

Resonant Frequency of Passive Filter is usually measured using the Hertz[Hz] for Frequency. Petahertz[Hz], Terahertz[Hz], Gigahertz[Hz] are the few other units in which Resonant Frequency of Passive Filter can be measured.

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Resonant Frequency of Passive Filter Formula

Resonant Frequency of Passive Filter Example

Resonant Frequency of Passive Filter Solution

Resonant Frequency of Passive Filter Formula Elements

Other formulas in Power Filters category

How to Evaluate Resonant Frequency of Passive Filter?

FAQs on Resonant Frequency of Passive Filter

Variable Name