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 - 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 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 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.
STEP 1: Convert Input(s) to Base Unit
Inductance: 0.79 Millihenry --> 0.00079 Henry (Check conversion here)
Capacitance: 350 Microfarad --> 0.00035 Farad (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
fo = 1/(2*pi*sqrt(L*C)) --> 1/(2*pi*sqrt(0.00079*0.00035))
Evaluating ... ...
fo = 302.67222115021
STEP 3: Convert Result to Output's Unit
302.67222115021 Hertz --> No Conversion Required
FINAL ANSWER
302.67222115021 302.6722 Hertz <-- Resonant Frequency
(Calculation completed in 00.004 seconds)

Credits

Created by Parminder Singh
Chandigarh University (CU), Punjab
Parminder Singh has created this Calculator and 100+ more calculators!
Verified by Aman Dhussawat
GURU TEGH BAHADUR INSTITUTE OF TECHNOLOGY (GTBIT), NEW DELHI
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3 Frequency Calculators

Resonant Frequency for RLC circuit
Go Resonant Frequency = 1/(2*pi*sqrt(Inductance*Capacitance))
Cut Off Frequency for RC circuit
Go Cut-off Frequency = 1/(2*pi*Capacitance*Resistance)
Frequency using Time Period
Go Natural Frequency = 1/(2*pi*Time Period)

25 AC Circuit Design Calculators

Resistance for Series RLC Circuit given Q Factor
Go Resistance = sqrt(Inductance)/(Series RLC Quality Factor*sqrt(Capacitance))
Line to Neutral Current using Reactive Power
Go Line to Neutral Current = Reactive Power/(3*Line to Neutral Voltage*sin(Phase Difference))
RMS Current using Reactive Power
Go Root Mean Square Current = Reactive Power/(Root Mean Square Voltage*sin(Phase Difference))
Line to Neutral Current using Real Power
Go Line to Neutral Current = Real Power/(3*cos(Phase Difference)*Line to Neutral Voltage)
RMS Current using Real Power
Go Root Mean Square Current = Real Power/(Root Mean Square Voltage*cos(Phase Difference))
Resistance for Parallel RLC Circuit using Q Factor
Go Resistance = Parallel RLC Quality Factor/(sqrt(Capacitance/Inductance))
Resonant Frequency for RLC circuit
Go Resonant Frequency = 1/(2*pi*sqrt(Inductance*Capacitance))
Electric Current using Reactive Power
Go Current = Reactive Power/(Voltage*sin(Phase Difference))
Electric Current using Real Power
Go Current = Real Power/(Voltage*cos(Phase Difference))
Power in Single-Phase AC Circuits
Go Real Power = Voltage*Current*cos(Phase Difference)
Inductance for Parallel RLC Circuit using Q Factor
Go Inductance = (Capacitance*Resistance^2)/(Parallel RLC Quality Factor^2)
Capacitance for Parallel RLC Circuit using Q Factor
Go Capacitance = (Inductance*Parallel RLC Quality Factor^2)/Resistance^2
Capacitance for Series RLC Circuit given Q Factor
Go Capacitance = Inductance/(Series RLC Quality Factor^2*Resistance^2)
Inductance for Series RLC Circuit given Q Factor
Go Inductance = Capacitance*Series RLC Quality Factor^2*Resistance^2
Capacitance given Cut off Frequency
Go Capacitance = 1/(2*Resistance*pi*Cut-off Frequency)
Cut Off Frequency for RC circuit
Go Cut-off Frequency = 1/(2*pi*Capacitance*Resistance)
Complex Power
Go Complex Power = sqrt(Real Power^2+Reactive Power^2)
Complex Power given Power Factor
Go Complex Power = Real Power/cos(Phase Difference)
Current using Power Factor
Go Current = Real Power/(Power Factor*Voltage)
Current using Complex Power
Go Current = sqrt(Complex Power/Impedance)
Frequency using Time Period
Go Natural Frequency = 1/(2*pi*Time Period)
Capacitance using Time Constant
Go Capacitance = Time Constant/Resistance
Resistance using Time Constant
Go Resistance = Time Constant/Capacitance
Impedance given Complex Power and Voltage
Go Impedance = (Voltage^2)/Complex Power
Impedance given Complex Power and Current
Go Impedance = Complex Power/(Current^2)

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 -> 302.6722 = 1/(2*pi*sqrt(0.00079*0.00035)).

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 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.
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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