Resonant Frequency for LCR Circuit Solution

STEP 0: Pre-Calculation Summary
Formula Used
Resonant Frequency = 1/(2*pi*sqrt(Impedance*Capacitance))
ωr = 1/(2*pi*sqrt(Z*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 oscillation of a system at its natural or unforced resonance.
Impedance - (Measured in Ohm) - Impedance (Z), in electrical devices, refers to the amount of opposition faced by the direct or alternating current when it passes through a conductor component, circuit, or system.
Capacitance - (Measured in Farad) - Capacitance is the ratio of the amount of electric charge stored on a conductor to a difference in electric potential.
STEP 1: Convert Input(s) to Base Unit
Impedance: 0.6 Ohm --> 0.6 Ohm No Conversion Required
Capacitance: 5 Farad --> 5 Farad No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ωr = 1/(2*pi*sqrt(Z*C)) --> 1/(2*pi*sqrt(0.6*5))
Evaluating ... ...
ωr = 0.0918881492369654
STEP 3: Convert Result to Output's Unit
0.0918881492369654 Hertz --> No Conversion Required
FINAL ANSWER
0.0918881492369654 0.091888 Hertz <-- Resonant Frequency
(Calculation completed in 00.004 seconds)

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Vellore Institute of Technology (VIT), Bhopal
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15 Basics of Electromagentic Induction Calculators

EMF Induced in Rotating Coil
Go EMF Induced in a Rotating Coil = Number of Turns of Coil*Area of Loop*Magnetic Field*Angular Velocity*sin(Angular Velocity*Time)
Self Inductance of Solenoid
Go Self Inductance of Solenoid = pi*[Permeability-vacuum]*Number of Turns of Solenoid^2*Radius^2*Length of Solenoid
Growth of Current in LR Circuit
Go Growth of Current in LR Circuit = e/Resistance*(1-e^(-Time/(Inductance/Resistance)))
Decay of Current in LR circuit
Go Decay of Current in L-R Circuit = Electric Current*e^(-Time Period of Progressive Wave/(Inductance/Resistance))
Current Value for Alternating Current
Go Electric Current = Peak Current*sin(Angular Frequency*Time+Angle A)
Power Factor
Go Power Factor = Root Mean Square Voltage*Root Mean Square Current*cos(Phase Difference)
Resonant Frequency for LCR Circuit
Go Resonant Frequency = 1/(2*pi*sqrt(Impedance*Capacitance))
Total Flux in Self Inductance
Go Self Inductance of Solenoid = pi*Magnetic Flux*Radius^2
Motional EMF
Go Electromotive Force = Magnetic Field*Length*Velocity
Total Flux in Mutual Inductance
Go Total Flux in Mutual Inductance = Mutual Inductance*Electric Current
Time Period for Alternating Current
Go Time Period of Progressive Wave = (2*pi)/Angular Velocity
Capacitive Reactance
Go Capacitive Reactance = 1/(Angular Velocity*Capacitance)
Time Constant of LR Circuit
Go Time Constant of L-R Circuit = Inductance/Resistance
RMS Current given Peak Current
Go Root Mean Square Current = Electric Current/sqrt(2)
Inductive Reactance
Go Inductive Reactance = Angular Velocity*Inductance

Resonant Frequency for LCR Circuit Formula

Resonant Frequency = 1/(2*pi*sqrt(Impedance*Capacitance))
ωr = 1/(2*pi*sqrt(Z*C))

What is resonant frequency of LCR circuit?

An important property of this circuit is its ability to resonate at a specific frequency, the resonance frequency, f0. Frequencies are measured in units of hertz.

How to Calculate Resonant Frequency for LCR Circuit?

Resonant Frequency for LCR Circuit calculator uses Resonant Frequency = 1/(2*pi*sqrt(Impedance*Capacitance)) to calculate the Resonant Frequency, The Resonant Frequency for LCR Circuit formula is defined as the frequency at which the impedance of the LCR circuit becomes minimum or current in the circuit becomes maximum. Resonant Frequency is denoted by ωr symbol.

How to calculate Resonant Frequency for LCR Circuit using this online calculator? To use this online calculator for Resonant Frequency for LCR Circuit, enter Impedance (Z) & Capacitance (C) and hit the calculate button. Here is how the Resonant Frequency for LCR Circuit calculation can be explained with given input values -> 0.091888 = 1/(2*pi*sqrt(0.6*5)).

FAQ

What is Resonant Frequency for LCR Circuit?
The Resonant Frequency for LCR Circuit formula is defined as the frequency at which the impedance of the LCR circuit becomes minimum or current in the circuit becomes maximum and is represented as ωr = 1/(2*pi*sqrt(Z*C)) or Resonant Frequency = 1/(2*pi*sqrt(Impedance*Capacitance)). Impedance (Z), in electrical devices, refers to the amount of opposition faced by the direct or alternating current when it passes through a conductor component, circuit, or system & Capacitance is the ratio of the amount of electric charge stored on a conductor to a difference in electric potential.
How to calculate Resonant Frequency for LCR Circuit?
The Resonant Frequency for LCR Circuit formula is defined as the frequency at which the impedance of the LCR circuit becomes minimum or current in the circuit becomes maximum is calculated using Resonant Frequency = 1/(2*pi*sqrt(Impedance*Capacitance)). To calculate Resonant Frequency for LCR Circuit, you need Impedance (Z) & Capacitance (C). With our tool, you need to enter the respective value for Impedance & 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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