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Q Factor for Series RLC Circuit Formula

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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. Check FAQs

Q se = \frac{1}{R} \cdot (\sqrt{\frac{L}{C}})

Q_se - Series RLC Quality Factor?R - Resistance?L - Inductance?C - Capacitance?

Q Factor for Series RLC Circuit Example

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Here is how the Q Factor for Series RLC Circuit equation looks like with Values.

Here is how the Q Factor for Series RLC Circuit equation looks like with Units.

Here is how the Q Factor for Series RLC Circuit equation looks like.

0.025 = \frac{1}{60} \cdot (\sqrt{\frac{0.79}{350}})

0.025 = \frac{1}{60Ω} \cdot (\sqrt{\frac{0.79mH}{350μF}})

0.025 = \frac{1}{60} \cdot (\sqrt{\frac{0.79}{350}})

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Q Factor for Series RLC Circuit Solution

Follow our step by step solution on how to calculate Q Factor for Series RLC Circuit?

FIRST Step Consider the formula

Q se = \frac{1}{R} \cdot (\sqrt{\frac{L}{C}})

Next Step Substitute values of Variables

∴

Q se = \frac{1}{60Ω} \cdot (\sqrt{\frac{0.79mH}{350μF}})

Next Step Convert Units

∴

Q se = \frac{1}{60Ω} \cdot (\sqrt{\frac{0.0008H}{0.0004F}})

Next Step Prepare to Evaluate

∴

Q se = \frac{1}{60} \cdot (\sqrt{\frac{0.0008}{0.0004}})

Next Step Evaluate

∴

Q se = 0.0250396510954951

LAST Step Rounding Answer

∴

Q se = 0.025

Q Factor for Series RLC Circuit Formula Elements

Variables

Functions

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.

Symbol: Q_se

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Series RLC Quality Factor

Resistance

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).

Symbol: R

Measurement: Electric ResistanceUnit: Ω

Note: Value can be positive or negative.

Formulas to find Resistance

Inductance

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.

Symbol: L

Measurement: InductanceUnit: mH

Note: Value should be greater than 0.

Formulas to find Inductance

Capacitance

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.

Symbol: C

Measurement: CapacitanceUnit: μF

Note: Value can be positive or negative.

Formulas to find Capacitance

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.

Syntax: sqrt(Number)

Other formulas in Power Factor and Q Factor category

Go Capacitance for Parallel RLC Circuit using Q Factor

C = \frac{L \cdot {Q ||}^{2}}{R^{2}}

Go Capacitance for Series RLC Circuit given Q Factor

C = \frac{L}{{Q se}^{2} \cdot R^{2}}

Go Resonant Frequency for RLC circuit

f o = \frac{1}{2 \cdot π \cdot \sqrt{L \cdot C}}

Go Resistance for Parallel RLC Circuit using Q Factor

R = \frac{Q ||}{\sqrt{\frac{C}{L}}}

How to Evaluate Q Factor for Series RLC Circuit?

Q Factor for Series RLC Circuit evaluator uses Series RLC Quality Factor = 1/(Resistance)*(sqrt(Inductance/Capacitance)) to evaluate 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 evaluate Q Factor for Series RLC Circuit using this online evaluator? To use this online evaluator for Q Factor for Series RLC Circuit, enter Resistance (R), Inductance (L) & Capacitance (C) and hit the calculate button.

FAQs on Q Factor for Series RLC Circuit

What is the formula to find Q Factor for Series RLC Circuit?

The formula of Q Factor for Series RLC Circuit is expressed as Series RLC Quality Factor = 1/(Resistance)*(sqrt(Inductance/Capacitance)). Here is an example- 0.02504 = 1/(60)*(sqrt(0.00079/0.00035)).

How to calculate Q Factor for Series RLC Circuit?

With Resistance (R), Inductance (L) & Capacitance (C) we can find Q Factor for Series RLC Circuit using the formula - Series RLC Quality Factor = 1/(Resistance)*(sqrt(Inductance/Capacitance)). This formula also uses Square Root (sqrt) function(s).

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Q Factor for Series RLC Circuit Formula

Q Factor for Series RLC Circuit Example

Q Factor for Series RLC Circuit Solution

Q Factor for Series RLC Circuit Formula Elements

Other formulas in Power Factor and Q Factor category

How to Evaluate Q Factor for Series RLC Circuit?

FAQs on Q Factor for Series RLC Circuit

Variable Name