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Quality Factor 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 0 \cdot E max}{P avg}

Q - Quality Factor?ω₀ - Angular Frequency?E_max - Maximum Stored Energy?P_avg - Average Power Loss?

Quality Factor Example

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

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

Here is how the Quality Factor equation looks like.

6.9 = \frac{5.75 \cdot 0.48}{0.4}

6.9 = \frac{5.75rad/s \cdot 0.48J}{0.4W}

6.9 = \frac{5.75 \cdot 0.48}{0.4}

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Quality Factor Solution

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

FIRST Step Consider the formula

Q = \frac{ω 0 \cdot E max}{P avg}

Next Step Substitute values of Variables

∴

Q = \frac{5.75rad/s \cdot 0.48J}{0.4W}

Next Step Prepare to Evaluate

∴

Q = \frac{5.75 \cdot 0.48}{0.4}

LAST Step Evaluate

∴

Q = 6.9

Quality Factor 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 Frequency

Angular Frequency is a steadily recurring phenomenon expressed in radians per second.

Symbol: ω₀

Measurement: Angular FrequencyUnit: rad/s

Note: Value should be greater than 0.

Formulas to find Angular Frequency

Maximum Stored Energy

Maximum Stored Energy refers to significant amounts of potential energy accumulated and confined within a medium, which can have damaging environmental impacts if released suddenly.

Symbol: E_max

Measurement: EnergyUnit: J

Note: Value should be greater than 0.

Formulas to find Maximum Stored Energy

Average Power Loss

Average Power Loss are wasteful energy caused by external factors or internal factors, and energy dissipated in the system.

Symbol: P_avg

Measurement: PowerUnit: W

Note: Value should be greater than 0.

Formulas to find Average Power Loss

Other formulas in Microwave Devices category

Go Force Exerted on Particle

F e = (q \cdot v cp) \cdot B

Go Power Losses for TEM Mode

P loss = 2 \cdot α \cdot P t

Go Characteristic Wave Impedance

Z = \frac{ω 0 \cdot μ}{β}

Go Cut-off Frequency of Rectangular Waveguide

f c = (\frac{1}{2 \cdot π \cdot \sqrt{μ \cdot ε}}) \cdot K c

How to Evaluate Quality Factor?

Quality Factor evaluator uses Quality Factor = (Angular Frequency*Maximum Stored Energy)/(Average Power Loss) to evaluate the Quality Factor, Quality Factor is a dimensionless parameter that describes how underdamped an oscillator or resonator is. In summary, it is the ratio of the peak energy stored in the resonator during a period of oscillation to the energy lost per radian of the period or cycle. Quality Factor is denoted by Q symbol.

How to evaluate Quality Factor using this online evaluator? To use this online evaluator for Quality Factor, enter Angular Frequency (ω₀), Maximum Stored Energy (E_max) & Average Power Loss (P_avg) and hit the calculate button.

FAQs on Quality Factor

What is the formula to find Quality Factor?

The formula of Quality Factor is expressed as Quality Factor = (Angular Frequency*Maximum Stored Energy)/(Average Power Loss). Here is an example- 6.9 = (5.75*0.48)/(0.4).

How to calculate Quality Factor?

With Angular Frequency (ω₀), Maximum Stored Energy (E_max) & Average Power Loss (P_avg) we can find Quality Factor using the formula - Quality Factor = (Angular Frequency*Maximum Stored Energy)/(Average Power Loss).

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Quality Factor Formula

Quality Factor Example

Quality Factor Solution

Quality Factor Formula Elements

Other formulas in Microwave Devices category

How to Evaluate Quality Factor?

FAQs on Quality Factor

Variable Name