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Resonant Frequency for RLC circuit Formula

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Resonant Frequency is defined as the frequency where both parameters overlap and is known as the resonant frequency of an RLC circuit. Check FAQs

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

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

Resonant Frequency for RLC circuit Example

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Here is how the Resonant Frequency for RLC circuit equation looks like with Values.

Here is how the Resonant Frequency for RLC circuit equation looks like with Units.

Here is how the Resonant Frequency for RLC circuit equation looks like.

302.6722 = \frac{1}{2 \cdot 3.1416 \cdot \sqrt{0.79 \cdot 350}}

302.6722Hz = \frac{1}{2 \cdot 3.1416 \cdot \sqrt{0.79mH \cdot 350μF}}

302.6722 = \frac{1}{2 \cdot 3.1416 \cdot \sqrt{0.79 \cdot 350}}

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Resonant Frequency for RLC circuit Solution

Follow our step by step solution on how to calculate Resonant Frequency for RLC circuit?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

f o = \frac{1}{2 \cdot π \cdot \sqrt{0.79mH \cdot 350μF}}

Next Step Substitute values of Constants

∴

f o = \frac{1}{2 \cdot 3.1416 \cdot \sqrt{0.79mH \cdot 350μF}}

Next Step Convert Units

∴

f o = \frac{1}{2 \cdot 3.1416 \cdot \sqrt{0.0008H \cdot 0.0004F}}

Next Step Prepare to Evaluate

∴

f o = \frac{1}{2 \cdot 3.1416 \cdot \sqrt{0.0008 \cdot 0.0004}}

Next Step Evaluate

∴

f o = 302.67222115021Hz

LAST Step Rounding Answer

∴

f o = 302.6722Hz

Resonant Frequency for RLC circuit Formula Elements

Variables

Constants

Functions

Resonant Frequency

Resonant Frequency is defined as the frequency where both parameters overlap and is known as the resonant frequency of an RLC circuit.

Symbol: f_o

Measurement: FrequencyUnit: Hz

Note: Value should be greater than 0.

Formulas to find Resonant Frequency

Inductance

Inductance is the tendency of an electrical conductor to oppose a change in the electric current flowing through it. The flow of electric current creates a magnetic field around the conductor.

Symbol: L

Measurement: InductanceUnit: mH

Note: Value should be greater than 0.

Formulas to find Inductance

Capacitance

Capacitance is the capability of a material object or device to store electric charge. It is measured by the change in charge in response to a difference in electric potential.

Symbol: C

Measurement: CapacitanceUnit: μF

Note: Value can be positive or negative.

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 Frequency category

Go Capacitance for Parallel RLC Circuit using Q Factor

C = \frac{L \cdot {Q ||}^{2}}{R^{2}}

Go Capacitance for Series RLC Circuit given Q Factor

C = \frac{L}{{Q se}^{2} \cdot R^{2}}

Go Resistance for Parallel RLC Circuit using Q Factor

R = \frac{Q ||}{\sqrt{\frac{C}{L}}}

Go Resistance for Series RLC Circuit given Q Factor

R = \frac{\sqrt{L}}{Q se \cdot \sqrt{C}}

How to Evaluate Resonant Frequency for RLC circuit?

Resonant Frequency for RLC circuit evaluator uses Resonant Frequency = 1/(2*pi*sqrt(Inductance*Capacitance)) to evaluate the Resonant Frequency, The Resonant Frequency for RLC circuit formula is defined as the frequency where both parameters overlap is known as the resonant frequency of an RLC circuit. Resonant Frequency is denoted by f_o symbol.

How to evaluate Resonant Frequency for RLC circuit using this online evaluator? To use this online evaluator for Resonant Frequency for RLC circuit, enter Inductance (L) & Capacitance (C) and hit the calculate button.

FAQs on Resonant Frequency for RLC circuit

What is the formula to find Resonant Frequency for RLC circuit?

The formula of Resonant Frequency for RLC circuit is expressed as Resonant Frequency = 1/(2*pi*sqrt(Inductance*Capacitance)). Here is an example- 302.6722 = 1/(2*pi*sqrt(0.00079*0.00035)).

How to calculate Resonant Frequency for RLC circuit?

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

Can the Resonant Frequency for RLC circuit be negative?

No, the Resonant Frequency for RLC circuit, measured in Frequency cannot be negative.

Which unit is used to measure Resonant Frequency for RLC circuit?

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

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