## Resonant Frequency for RLC circuit Solution

STEP 0: Pre-Calculation Summary
Formula Used
Resonant Frequency = 1/(2*pi*(sqrt(Inductance*Capacitance)))
fo = 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 - Squre root function, sqrt(Number)
Variables Used
Resonant Frequency - (Measured in Hertz) - Resonant frequency is defined as the frequency where both parameters overlap is known as the resonant frequency of an RLC circuit.
Inductance - (Measured in Henry) - 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.
Capacitance - (Measured in Farad) - Capacitance is defined as capacitance measured in micro farad units.
STEP 1: Convert Input(s) to Base Unit
Inductance: 5.7 Millihenry --> 0.0057 Henry (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
fo = 1/(2*pi*(sqrt(L*C))) --> 1/(2*pi*(sqrt(0.0057*5.7E-06)))
Evaluating ... ...
fo = 882.968633412053
STEP 3: Convert Result to Output's Unit
882.968633412053 Hertz --> No Conversion Required
882.968633412053 Hertz <-- Resonant Frequency
(Calculation completed in 00.016 seconds)
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## Credits

Created by Parminder Singh
Chandigarh University (CU), Punjab
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Verified by Aman Dhussawat
GURU TEGH BAHADUR INSTITUTE OF TECHNOLOGY (GTBIT), NEW DELHI
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## < 6 Time Constant & Frequency Calculators

Resonant Frequency for RLC circuit

## Resonant Frequency for RLC circuit

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

Example
"882.9686Hz"=1/(2*pi*(sqrt("5.7mH"*"5.70μF")))

Calculator
LaTeX
Resonant Frequency = 1/(2*pi*(sqrt(Inductance*Capacitance)))
Cut-off Frequency for RC circuit

## Cut-off Frequency for RC circuit

Formula
"f"_{"c"} = 1/(2*pi*"C"*"R")

Example
"473.2529Hz"=1/(2*pi*"5.70μF"*"59Ω")

Calculator
LaTeX
Cut-off Frequency = 1/(2*pi*Capacitance*Resistance)
Electrical Angle

## Electrical Angle

Formula
"θ"_{"Elect"} = ("n"_{"P"}/2)*"θ"_{"Mech"}

Example
"120°"=("4"/2)*"60°"

Calculator
LaTeX
Electrical Angle = (Number of Poles/2)*Mechanical Angle
Frequency using Time Period

## Frequency using Time Period

Formula
"ω"_{"n"} = 1/(2*pi*"T")

Example
"50.20661Hz"=1/(2*pi*"0.00317s")

Calculator
LaTeX
Natural Frequency = 1/(2*pi*Time period)
Time Constant for RC Circuit

## Time Constant for RC Circuit

Formula
"𝜏" = "R"*"C"

Example
"0.000336s"="59Ω"*"5.70μF"

Calculator
LaTeX
Time constant = Resistance*Capacitance
Time Constant for RL Circuit

## Time Constant for RL Circuit

Formula
"𝜏" = "L"/"R"

Example
"9.7E^-5s"="5.7mH"/"59Ω"

Calculator
LaTeX
Time constant = Inductance/Resistance

## Resonant Frequency for RLC circuit Formula

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

## What is the significance of Resonant Frequency?

Resonant frequency is the oscillation of a system at its natural or unforced resonance. Resonance occurs when a system is able to store and easily transfer energy between different storage modes, such as Kinetic energy or Potential energy as you would find with a simple pendulum.

## How to Calculate Resonant Frequency for RLC circuit?

Resonant Frequency for RLC circuit calculator uses Resonant Frequency = 1/(2*pi*(sqrt(Inductance*Capacitance))) to calculate 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 fo symbol.

How to calculate Resonant Frequency for RLC circuit using this online calculator? To use this online calculator for Resonant Frequency for RLC circuit, enter Inductance (L) & Capacitance (C) and hit the calculate button. Here is how the Resonant Frequency for RLC circuit calculation can be explained with given input values -> 882.9686 = 1/(2*pi*(sqrt(0.0057*5.7E-06))).

### FAQ

What is Resonant Frequency for RLC circuit?
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 and is represented as fo = 1/(2*pi*(sqrt(L*C))) or Resonant Frequency = 1/(2*pi*(sqrt(Inductance*Capacitance))). 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 & Capacitance is defined as capacitance measured in micro farad units.
How to calculate Resonant Frequency for RLC circuit?
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 is calculated using Resonant Frequency = 1/(2*pi*(sqrt(Inductance*Capacitance))). To calculate Resonant Frequency for RLC circuit, 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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