Q Factor for Series RLC Circuit Solution

STEP 0: Pre-Calculation Summary
Formula Used
Series RLC Quality Factor = 1/(Resistance)*(sqrt(Inductance/Capacitance))
Qse = 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
Qse = 1/(R)*(sqrt(L/C)) --> 1/(60)*(sqrt(0.00079/0.00035))
Evaluating ... ...
Qse = 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 00.004 seconds)

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Vishwakarma Government Engineering College (VGEC), Ahmedabad
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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))
Qse = 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 Qse 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 Qse = 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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