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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

Credits

Created by Shobhit Dimri

Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

Shobhit Dimri has created this Formula and 900+ more formulas!

Verified by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

Urvi Rathod has verified this Formula and 1900+ more formulas!

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

Credits

Other formulas in Q Factor category

How to Evaluate External Q-Factor?

FAQs on External Q-Factor

Variable Name