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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Power Factor and Q Factor Calculators

Q Factor for Series RLC Circuit
​ LaTeX ​ Go Series RLC Quality Factor = 1/(Resistance)*(sqrt(Inductance/Capacitance))
Power Factor given Power
​ LaTeX ​ Go Power Factor = Real Power/(Voltage*Current)
Power Factor given Power Factor Angle
​ LaTeX ​ Go Power Factor = cos(Phase Difference)
Power Factor given Impedance
​ LaTeX ​ Go Power Factor = Resistance/Impedance

AC Circuit Design Calculators

Capacitance for Parallel RLC Circuit using Q Factor
​ LaTeX ​ Go Capacitance = (Inductance*Parallel RLC Quality Factor^2)/Resistance^2
Capacitance for Series RLC Circuit given Q Factor
​ LaTeX ​ Go Capacitance = Inductance/(Series RLC Quality Factor^2*Resistance^2)
Capacitance given Cut off Frequency
​ LaTeX ​ Go Capacitance = 1/(2*Resistance*pi*Cut-off Frequency)
Capacitance using Time Constant
​ LaTeX ​ Go Capacitance = Time Constant/Resistance

RLC Circuit Calculators

Resistance for Parallel RLC Circuit using Q Factor
​ LaTeX ​ Go Resistance = Parallel RLC Quality Factor/(sqrt(Capacitance/Inductance))
Resonant Frequency for RLC circuit
​ LaTeX ​ Go Resonant Frequency = 1/(2*pi*sqrt(Inductance*Capacitance))
Capacitance for Parallel RLC Circuit using Q Factor
​ LaTeX ​ Go Capacitance = (Inductance*Parallel RLC Quality Factor^2)/Resistance^2
Capacitance for Series RLC Circuit given Q Factor
​ LaTeX ​ Go Capacitance = Inductance/(Series RLC Quality Factor^2*Resistance^2)

Q Factor for Series RLC Circuit Formula

​LaTeX ​Go
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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