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Unloaded Q-factor Formula

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Unloaded Q-factor is defined as a dimensionless parameter that describes how underdamped an oscillator or resonator is. Check FAQs

Q un = C v \cdot \frac{ω}{G}

Q_un - Unloaded Q-factor?C_v - Capacitance at Vane Tips?ω - Angular Frequency?G - Conductance of Cavity?

Unloaded Q-factor Example

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With units

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Here is how the Unloaded Q-factor equation looks like with Values.

Here is how the Unloaded Q-factor equation looks like with Units.

Here is how the Unloaded Q-factor equation looks like.

141.0714 = 2.5 \cdot \frac{7.9E+8}{1.4E-5}

141.0714 = 2.5pF \cdot \frac{7.9E+8rad/s}{1.4E-5S}

141.0714 = 2.5 \cdot \frac{7.9E+8}{1.4E-5}

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Unloaded Q-factor Solution

Follow our step by step solution on how to calculate Unloaded Q-factor?

FIRST Step Consider the formula

Q un = C v \cdot \frac{ω}{G}

Next Step Substitute values of Variables

∴

Q un = 2.5pF \cdot \frac{7.9E+8rad/s}{1.4E-5S}

Next Step Convert Units

∴

Q un = 2.5E-12F \cdot \frac{7.9E+8rad/s}{1.4E-5S}

Next Step Prepare to Evaluate

∴

Q un = 2.5E-12 \cdot \frac{7.9E+8}{1.4E-5}

Next Step Evaluate

∴

Q un = 141.071428571429

LAST Step Rounding Answer

∴

Q un = 141.0714

Unloaded Q-factor Formula Elements

Variables

Unloaded Q-factor

Unloaded Q-factor is defined as a dimensionless parameter that describes how underdamped an oscillator or resonator is.

Symbol: Q_un

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Unloaded Q-factor

Capacitance at Vane Tips

Capacitance at Vane Tips is defined as the ratio of the amount of electric charge stored on a conductor to a difference in electric potential at the vane tips.

Symbol: C_v

Measurement: CapacitanceUnit: pF

Note: Value should be greater than 0.

Formulas to find Capacitance at Vane Tips

Angular Frequency

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

Symbol: ω

Measurement: Angular FrequencyUnit: rad/s

Note: Value should be greater than 0.

Formulas to find Angular Frequency

Conductance of Cavity

Conductance of Cavity can be expressed as the ratio of the current flowing through the cavity to the voltage across it. It is typically measured in units of siemens (S).

Symbol: G

Measurement: Electric ConductanceUnit: S

Note: Value should be greater than 0.

Formulas to find Conductance of Cavity

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 Quality Factor of Cavity Resonator

Q c = \frac{ω r}{f 2 - f 1}

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})}

How to Evaluate Unloaded Q-factor?

Unloaded Q-factor evaluator uses Unloaded Q-factor = Capacitance at Vane Tips*Angular Frequency/Conductance of Cavity to evaluate the Unloaded Q-factor, The Unloaded Q-factor formula is defined as 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. Unloaded Q-factor is denoted by Q_un symbol.

How to evaluate Unloaded Q-factor using this online evaluator? To use this online evaluator for Unloaded Q-factor, enter Capacitance at Vane Tips (C_v), Angular Frequency (ω) & Conductance of Cavity (G) and hit the calculate button.

FAQs on Unloaded Q-factor

What is the formula to find Unloaded Q-factor?

The formula of Unloaded Q-factor is expressed as Unloaded Q-factor = Capacitance at Vane Tips*Angular Frequency/Conductance of Cavity. Here is an example- 141.0714 = 2.5E-12*790000000/1.4E-05.

How to calculate Unloaded Q-factor?

With Capacitance at Vane Tips (C_v), Angular Frequency (ω) & Conductance of Cavity (G) we can find Unloaded Q-factor using the formula - Unloaded Q-factor = Capacitance at Vane Tips*Angular Frequency/Conductance of Cavity.

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Unloaded Q-factor Formula

Unloaded Q-factor Example

Unloaded Q-factor Solution

Unloaded Q-factor Formula Elements

Other formulas in Q Factor category

How to Evaluate Unloaded Q-factor?

FAQs on Unloaded Q-factor

Variable Name