Q Factor for Series RLC Circuit Calculator

✖Resistance is a measure of the opposition to current flow in an electrical circuit. Resistance is measured in ohms, symbolized by the Greek letter omega (Ω).ⓘ Resistance [R]			+10% -10%
✖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.ⓘ Inductance [L]			+10% -10%
✖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.ⓘ Capacitance [C]			+10% -10%

✖Series RLC Quality Factor is defined as the ratio of the initial energy stored in the resonator to the energy lost in one radian of the cycle of oscillation in a Series RLC Circuit.ⓘ Q Factor for Series RLC Circuit [Q_se]

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Formula

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Q Factor for Series RLC Circuit

Formula

`"Q"_{"se"} = 1/("R")*(sqrt("L"/"C"))`

Example

`"0.02504"=1/("60Ω")*(sqrt("0.79mH"/"350μF"))`

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Q Factor for Series RLC Circuit Solution

STEP 0: Pre-Calculation Summary

Formula Used

Series RLC Quality Factor = 1/(Resistance)*(sqrt(Inductance/Capacitance))
Q_se = 1/(R)*(sqrt(L/C))
This formula uses 1 Functions, 4 Variables

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

Series RLC Quality Factor - Series RLC Quality Factor is defined as the ratio of the initial energy stored in the resonator to the energy lost in one radian of the cycle of oscillation in a Series RLC Circuit.
Resistance - (Measured in Ohm) - Resistance is a measure of the opposition to current flow in an electrical circuit. Resistance is measured in ohms, symbolized by the Greek letter omega (Ω).
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

Resistance: 60 Ohm --> 60 Ohm No Conversion Required
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

Q_se = 1/(R)*(sqrt(L/C)) --> 1/(60)*(sqrt(0.00079/0.00035))

Evaluating ... ...

Q_se = 0.0250396510954951

STEP 3: Convert Result to Output's Unit

0.0250396510954951 --> No Conversion Required

FINAL ANSWER

0.0250396510954951 ≈ 0.02504 <-- Series RLC Quality Factor

(Calculation completed in 00.020 seconds)

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Home » Engineering » Electrical » Electrical Circuit » AC Circuits » Power Factor & Q Factor » Q Factor for Series RLC Circuit

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< 5 Power Factor & Q Factor Calculators

Q Factor for Series RLC Circuit

Go Series RLC Quality Factor = 1/(Resistance)*(sqrt(Inductance/Capacitance))

Q Factor for Parallel RLC Circuit

Go Parallel RLC Quality Factor = Resistance*(sqrt(Capacitance/Inductance))

Power Factor given Power

Go Power Factor = Real Power/(Voltage*Current)

Power Factor given Power Factor Angle

Go Power Factor = cos(Phase Difference)

Power Factor given Impedance

Go Power Factor = Resistance/Impedance

< 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)

Q Factor for Series RLC Circuit Formula

Series RLC Quality Factor = 1/(Resistance)*(sqrt(Inductance/Capacitance))
Q_se = 1/(R)*(sqrt(L/C))

What is Q factor?

Q-factor is nothing but the relationship between stored energy and the rate of energy in electrical components, devices. The ratio of the reactance in ohms divided by the resistance in ohms is defined as the quality factor.

How to Calculate Q Factor for Series RLC Circuit?

Q Factor for Series RLC Circuit calculator uses Series RLC Quality Factor = 1/(Resistance)*(sqrt(Inductance/Capacitance)) to calculate the Series RLC Quality Factor, The Q Factor for Series RLC Circuit is a dimensionless parameter that describes how underdamped an oscillator or resonator is. It is approximately defined as the ratio of the initial energy stored in the resonator to the energy lost in one radian of the cycle of oscillation. Series RLC Quality Factor is denoted by Q_se symbol.

How to calculate Q Factor for Series RLC Circuit using this online calculator? To use this online calculator for Q Factor for Series RLC Circuit, enter Resistance (R), Inductance (L) & Capacitance (C) and hit the calculate button. Here is how the Q Factor for Series RLC Circuit calculation can be explained with given input values -> 0.02504 = 1/(60)*(sqrt(0.00079/0.00035)).

FAQ

What is Q Factor for Series RLC Circuit?

The Q Factor for Series RLC Circuit is a dimensionless parameter that describes how underdamped an oscillator or resonator is. It is approximately defined as the ratio of the initial energy stored in the resonator to the energy lost in one radian of the cycle of oscillation and is represented as Q_se = 1/(R)*(sqrt(L/C)) or Series RLC Quality Factor = 1/(Resistance)*(sqrt(Inductance/Capacitance)). Resistance is a measure of the opposition to current flow in an electrical circuit. Resistance is measured in ohms, symbolized by the Greek letter omega (Ω), 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 Q Factor for Series RLC Circuit?

The Q Factor for Series RLC Circuit is a dimensionless parameter that describes how underdamped an oscillator or resonator is. It is approximately defined as the ratio of the initial energy stored in the resonator to the energy lost in one radian of the cycle of oscillation is calculated using Series RLC Quality Factor = 1/(Resistance)*(sqrt(Inductance/Capacitance)). To calculate Q Factor for Series RLC Circuit, you need Resistance (R), Inductance (L) & Capacitance (C). With our tool, you need to enter the respective value for Resistance, 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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