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Quality Factor of Passive Filter Formula

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Quality Factor is a dimensionless parameter that describes how underdamped an oscillator or resonator is. Check FAQs

Q = \frac{ω n \cdot L}{R}

Q - Quality Factor?ω_n - Angular Resonant Frequency?L - Inductance?R - Resistance?

Quality Factor of Passive Filter Example

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Here is how the Quality Factor of Passive Filter equation looks like with Values.

Here is how the Quality Factor of Passive Filter equation looks like with Units.

Here is how the Quality Factor of Passive Filter equation looks like.

8.3322 = \frac{24.98 \cdot 50}{149.9}

8.3322 = \frac{24.98rad/s \cdot 50H}{149.9Ω}

8.3322 = \frac{24.98 \cdot 50}{149.9}

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Quality Factor of Passive Filter Solution

Follow our step by step solution on how to calculate Quality Factor of Passive Filter?

FIRST Step Consider the formula

Q = \frac{ω n \cdot L}{R}

Next Step Substitute values of Variables

∴

Q = \frac{24.98rad/s \cdot 50H}{149.9Ω}

Next Step Prepare to Evaluate

∴

Q = \frac{24.98 \cdot 50}{149.9}

Next Step Evaluate

∴

Q = 8.33222148098733

LAST Step Rounding Answer

∴

Q = 8.3322

Quality Factor of Passive Filter Formula Elements

Variables

Quality Factor

Quality Factor is a dimensionless parameter that describes how underdamped an oscillator or resonator is.

Symbol: Q

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Quality Factor

Angular Resonant Frequency

Angular Resonant Frequency is the frequency at which the filter will resonate without any external driving force.

Symbol: ω_n

Measurement: Angular FrequencyUnit: rad/s

Note: Value should be greater than 0.

Formulas to find Angular Resonant Frequency

Inductance

Inductance is the property of an electrical conductor to oppose a change in the electric current flowing through it.

Symbol: L

Measurement: InductanceUnit: H

Note: Value should be greater than 0.

Formulas to find Inductance

Resistance

Resistance is the opposition to current flow in an electrical circuit.

Symbol: R

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Formulas to find Resistance

Other formulas in Power Filters category

Go Corner Frequency in Bandpass Filter for Series RLC Circuit

f c = (\frac{R}{2 \cdot L}) + (\sqrt{{(\frac{R}{2 \cdot L})}^{2} + \frac{1}{L \cdot C}})

Go Cut-off Frequency in Bandpass Filter for Parallel RLC Circuit

ω c = (\frac{1}{2 \cdot R \cdot C}) + (\sqrt{{(\frac{1}{2 \cdot R \cdot C})}^{2} + \frac{1}{L \cdot C}})

Go Keying Parameter of Parallel RLC Bandpass Filter

k p' = \frac{(L + L o) \cdot ω c}{2 \cdot V dc}

Go Keying Index of Parallel RLC Bandpass Filter

k i' = ω c \cdot k p'

How to Evaluate Quality Factor of Passive Filter?

Quality Factor of Passive Filter evaluator uses Quality Factor = (Angular Resonant Frequency*Inductance)/Resistance to evaluate the Quality Factor, The Quality Factor of Passive Filter formula is defined as the ratio of the reactive energy stored in the filter to the energy lost in one cycle of oscillation. Quality Factor is denoted by Q symbol.

How to evaluate Quality Factor of Passive Filter using this online evaluator? To use this online evaluator for Quality Factor of Passive Filter, enter Angular Resonant Frequency (ω_n), Inductance (L) & Resistance (R) and hit the calculate button.

FAQs on Quality Factor of Passive Filter

What is the formula to find Quality Factor of Passive Filter?

The formula of Quality Factor of Passive Filter is expressed as Quality Factor = (Angular Resonant Frequency*Inductance)/Resistance. Here is an example- 8.335557 = (24.98*50)/149.9.

How to calculate Quality Factor of Passive Filter?

With Angular Resonant Frequency (ω_n), Inductance (L) & Resistance (R) we can find Quality Factor of Passive Filter using the formula - Quality Factor = (Angular Resonant Frequency*Inductance)/Resistance.

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Quality Factor of Passive Filter Formula

Quality Factor of Passive Filter Example

Quality Factor of Passive Filter Solution

Quality Factor of Passive Filter Formula Elements

Other formulas in Power Filters category

How to Evaluate Quality Factor of Passive Filter?

FAQs on Quality Factor of Passive Filter

Variable Name