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Quality Factor of Cavity Resonator Formula

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Q factor of Cavity Resonator is defined as the ratio of the energy stored in the resonator to the energy lost per cycle. Check FAQs

Q c = \frac{ω r}{f 2 - f 1}

Q_c - Q factor of Cavity Resonator?ω_r - Resonant Frequency?f₂ - Frequency 2?f₁ - Frequency 1?

Quality Factor of Cavity Resonator Example

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

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

Here is how the Quality Factor of Cavity Resonator equation looks like.

5.9 = \frac{118}{300 - 280}

5.9 = \frac{118Hz}{300Hz - 280Hz}

5.9 = \frac{118}{300 - 280}

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Quality Factor of Cavity Resonator Solution

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

FIRST Step Consider the formula

Q c = \frac{ω r}{f 2 - f 1}

Next Step Substitute values of Variables

∴

Q c = \frac{118Hz}{300Hz - 280Hz}

Next Step Prepare to Evaluate

∴

Q c = \frac{118}{300 - 280}

LAST Step Evaluate

∴

Q c = 5.9

Quality Factor of Cavity Resonator Formula Elements

Variables

Q factor of Cavity Resonator

Q factor of Cavity Resonator is defined as the ratio of the energy stored in the resonator to the energy lost per cycle.

Symbol: Q_c

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Q factor of Cavity Resonator

Resonant Frequency

Resonant frequency is the oscillation of a system at its natural or unforced resonance.

Symbol: ω_r

Measurement: FrequencyUnit: Hz

Note: Value should be greater than 0.

Formulas to find Resonant Frequency

Frequency 2

Frequency 2 is the number of occurrences of a repeating event per unit of time.

Symbol: f₂

Measurement: FrequencyUnit: Hz

Note: Value can be positive or negative.

Formulas to find Frequency 2

Frequency 1

Frequency 1 is the number of occurrences of a repeating event per unit of time.

Symbol: f₁

Measurement: FrequencyUnit: Hz

Note: Value can be positive or negative.

Formulas to find Frequency 1

Other formulas in Q Factor category

Go Q-Factor of Loaded Catcher Cavity

Q L = (\frac{1}{Q o}) + (\frac{1}{Q b}) + (\frac{1}{Q el})

Go Q-Factor of Catcher Wall

Q o = \frac{1}{Q L - (\frac{1}{Q b}) - (\frac{1}{Q el})}

Go Q-Factor of Beam Loading

Q b = \frac{1}{Q L - (\frac{1}{Q o}) - (\frac{1}{Q el})}

Go Q-Factor of External Load

Q el = \frac{1}{Q L - (\frac{1}{Q b}) - (\frac{1}{Q o})}

How to Evaluate Quality Factor of Cavity Resonator?

Quality Factor of Cavity Resonator evaluator uses Q factor of Cavity Resonator = Resonant Frequency/(Frequency 2-Frequency 1) to evaluate the Q factor of Cavity Resonator, The Quality Factor of Cavity Resonator formula is defined as the ratio between the stored energy of the cavity to the power loses in the cavity. If the size of the cavity is made bigger then energy stored will be more and its Q will increase. It is a measure of its efficiency and is defined as the ratio of its stored energy to its energy dissipation per cycle. Q factor of Cavity Resonator is denoted by Q_c symbol.

How to evaluate Quality Factor of Cavity Resonator using this online evaluator? To use this online evaluator for Quality Factor of Cavity Resonator, enter Resonant Frequency (ω_r), Frequency 2 (f₂) & Frequency 1 (f₁) and hit the calculate button.

FAQs on Quality Factor of Cavity Resonator

What is the formula to find Quality Factor of Cavity Resonator?

The formula of Quality Factor of Cavity Resonator is expressed as Q factor of Cavity Resonator = Resonant Frequency/(Frequency 2-Frequency 1). Here is an example- 5.9 = 118/(300-280).

How to calculate Quality Factor of Cavity Resonator?

With Resonant Frequency (ω_r), Frequency 2 (f₂) & Frequency 1 (f₁) we can find Quality Factor of Cavity Resonator using the formula - Q factor of Cavity Resonator = Resonant Frequency/(Frequency 2-Frequency 1).

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Quality Factor of Cavity Resonator Formula

Quality Factor of Cavity Resonator Example

Quality Factor of Cavity Resonator Solution

Quality Factor of Cavity Resonator Formula Elements

Other formulas in Q Factor category

How to Evaluate Quality Factor of Cavity Resonator?

FAQs on Quality Factor of Cavity Resonator

Variable Name