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Conductance of Resonator Formula

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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). Check FAQs

G = \frac{C v \cdot ω}{Q un}

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

Conductance of Resonator Example

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Here is how the Conductance of Resonator equation looks like with Values.

Here is how the Conductance of Resonator equation looks like with Units.

Here is how the Conductance of Resonator equation looks like.

1.4E-5 = \frac{2.5 \cdot 7.9E+8}{141.07}

1.4E-5S = \frac{2.5pF \cdot 7.9E+8rad/s}{141.07}

1.4E-5 = \frac{2.5 \cdot 7.9E+8}{141.07}

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Conductance of Resonator Solution

Follow our step by step solution on how to calculate Conductance of Resonator?

FIRST Step Consider the formula

G = \frac{C v \cdot ω}{Q un}

Next Step Substitute values of Variables

∴

G = \frac{2.5pF \cdot 7.9E+8rad/s}{141.07}

Next Step Convert Units

∴

G = \frac{2.5E-12F \cdot 7.9E+8rad/s}{141.07}

Next Step Prepare to Evaluate

∴

G = \frac{2.5E-12 \cdot 7.9E+8}{141.07}

Next Step Evaluate

∴

G = 1.40001417735876E-05S

LAST Step Rounding Answer

∴

G = 1.4E-5S

Conductance of Resonator Formula Elements

Variables

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

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

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

Other formulas in Klystron Cavity category

Go Induced Current in Catcher Cavity

I 2 = I t0 \cdot β i

Go Buncher Cavity Gap

d = τ \cdot E vo

Go Induced Current in Walls of Catcher Cavity

I 2 = β i \cdot I o

Go Phase Constant of Fundamental Mode Field

β o = \frac{2 \cdot π \cdot M}{L \cdot N}

How to Evaluate Conductance of Resonator?

Conductance of Resonator evaluator uses Conductance of Cavity = (Capacitance at Vane Tips*Angular Frequency)/Unloaded Q-factor to evaluate the Conductance of Cavity, The Conductance of Resonator formula is defined as the potential for a resonator to conduct electricity. Conductance of Cavity is denoted by G symbol.

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

FAQs on Conductance of Resonator

What is the formula to find Conductance of Resonator?

The formula of Conductance of Resonator is expressed as Conductance of Cavity = (Capacitance at Vane Tips*Angular Frequency)/Unloaded Q-factor. Here is an example- 1.4E-5 = (2.5E-12*790000000)/141.07.

How to calculate Conductance of Resonator?

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

Can the Conductance of Resonator be negative?

No, the Conductance of Resonator, measured in Electric Conductance cannot be negative.

Which unit is used to measure Conductance of Resonator?

Conductance of Resonator is usually measured using the Siemens[S] for Electric Conductance. Megasiemens[S], Millisiemens[S], Mho[S] are the few other units in which Conductance of Resonator can be measured.

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Conductance of Resonator Formula

Conductance of Resonator Example

Conductance of Resonator Solution

Conductance of Resonator Formula Elements

Other formulas in Klystron Cavity category

How to Evaluate Conductance of Resonator?

FAQs on Conductance of Resonator

Variable Name