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External Q-Factor Formula

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External Q-factor is a measure of the energy stored per cycle in a resonant circuit or device, relative to the energy lost per cycle due to all forms of dissipation. Check FAQs

Q ext = \frac{C v \cdot ω o}{G L}

Q_ext - External Q-Factor?C_v - Capacitance at Vane Tips?ω_o - Resonant Angular Frequency?G_L - Loaded Conductance?

External Q-Factor Example

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With units

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Here is how the External Q-Factor equation looks like with Values.

Here is how the External Q-Factor equation looks like with Units.

Here is how the External Q-Factor equation looks like.

5500 = \frac{2.5 \cdot 5.5E+10}{2.5E-5}

5500 = \frac{2.5pF \cdot 5.5E+10rad/s}{2.5E-5S}

5500 = \frac{2.5 \cdot 5.5E+10}{2.5E-5}

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External Q-Factor Solution

Follow our step by step solution on how to calculate External Q-Factor?

FIRST Step Consider the formula

Q ext = \frac{C v \cdot ω o}{G L}

Next Step Substitute values of Variables

∴

Q ext = \frac{2.5pF \cdot 5.5E+10rad/s}{2.5E-5S}

Next Step Convert Units

∴

Q ext = \frac{2.5E-12F \cdot 5.5E+10rad/s}{2.5E-5S}

Next Step Prepare to Evaluate

∴

Q ext = \frac{2.5E-12 \cdot 5.5E+10}{2.5E-5}

LAST Step Evaluate

∴

Q ext = 5500

External Q-Factor Formula Elements

Variables

External Q-Factor

External Q-factor is a measure of the energy stored per cycle in a resonant circuit or device, relative to the energy lost per cycle due to all forms of dissipation.

Symbol: Q_ext

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find External 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

Resonant Angular Frequency

Resonant Angular Frequency is the frequency at which a resonant system vibrates with maximum amplitude when it is excited by an external force, expressed in radians per second.

Symbol: ω_o

Measurement: Angular FrequencyUnit: rad/s

Note: Value should be greater than 0.

Formulas to find Resonant Angular Frequency

Loaded Conductance

Loaded Conductance is a measure of the ease with which a load, such as a circuit or a device, can conduct an electric current.

Symbol: G_L

Measurement: Electric ConductanceUnit: S

Note: Value should be greater than 0.

Formulas to find Loaded Conductance

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 External Q-Factor?

External Q-Factor evaluator uses External Q-Factor = (Capacitance at Vane Tips*Resonant Angular Frequency)/Loaded Conductance to evaluate the External Q-Factor, External Q-Factor is a measure of the energy stored per cycle in a resonant circuit or device, relative to the energy lost per cycle due to all forms of dissipation, including radiation and coupling to other circuits. External Q-Factor is denoted by Q_ext symbol.

How to evaluate External Q-Factor using this online evaluator? To use this online evaluator for External Q-Factor, enter Capacitance at Vane Tips (C_v), Resonant Angular Frequency (ω_o) & Loaded Conductance (G_L) and hit the calculate button.

FAQs on External Q-Factor

What is the formula to find External Q-Factor?

The formula of External Q-Factor is expressed as External Q-Factor = (Capacitance at Vane Tips*Resonant Angular Frequency)/Loaded Conductance. Here is an example- 5500 = (2.5E-12*55000000000)/2.5E-05.

How to calculate External Q-Factor?

With Capacitance at Vane Tips (C_v), Resonant Angular Frequency (ω_o) & Loaded Conductance (G_L) we can find External Q-Factor using the formula - External Q-Factor = (Capacitance at Vane Tips*Resonant Angular Frequency)/Loaded Conductance.

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External Q-Factor Formula

External Q-Factor Example

External Q-Factor Solution

External Q-Factor Formula Elements

Other formulas in Q Factor category

How to Evaluate External Q-Factor?

FAQs on External Q-Factor

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