Conductance of Resonator Calculator

✖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.ⓘ Capacitance at Vane Tips [C_v]			+10% -10%
✖Angular Frequency of a steadily recurring phenomenon expressed in radians per second.ⓘ Angular Frequency [ω]			+10% -10%
✖Unloaded Q-factor is defined as a dimensionless parameter that describes how underdamped an oscillator or resonator is.ⓘ Unloaded Q-factor [Q_un]			+10% -10%

✖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).ⓘ Conductance of Resonator [G]

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Conductance of Resonator Solution

STEP 0: Pre-Calculation Summary

Formula Used

Conductance of Cavity = (Capacitance at Vane Tips*Angular Frequency)/Unloaded Q-factor
G = (C_v*ω)/Q_un
This formula uses 4 Variables

Variables Used

Conductance of Cavity - (Measured in Siemens) - 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).
Capacitance at Vane Tips - (Measured in Farad) - 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.
Angular Frequency - (Measured in Radian per Second) - Angular Frequency of a steadily recurring phenomenon expressed in radians per second.
Unloaded Q-factor - Unloaded Q-factor is defined as a dimensionless parameter that describes how underdamped an oscillator or resonator is.

STEP 1: Convert Input(s) to Base Unit

Capacitance at Vane Tips: 2.5 Picofarad --> 2.5E-12 Farad (Check conversion here)
Angular Frequency: 790000000 Radian per Second --> 790000000 Radian per Second No Conversion Required
Unloaded Q-factor: 141.07 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

G = (C_v*ω)/Q_un --> (2.5E-12*790000000)/141.07

Evaluating ... ...

G = 1.40001417735876E-05

STEP 3: Convert Result to Output's Unit

1.40001417735876E-05 Siemens --> No Conversion Required

FINAL ANSWER

1.40001417735876E-05 ≈ 1.4E-5 Siemens <-- Conductance of Cavity

(Calculation completed in 00.004 seconds)

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Conductance of Resonator Formula

LaTeX Go

Conductance of Cavity = (Capacitance at Vane Tips*Angular Frequency)/Unloaded Q-factor
G = (C_v*ω)/Q_un

What is Klystron Cavity?

In a klystron, the term "cavity" typically refers to the resonant structures within the tube where interactions between an electron beam and radiofrequency (RF) signals take place.

How to Calculate Conductance of Resonator?

Conductance of Resonator calculator uses Conductance of Cavity = (Capacitance at Vane Tips*Angular Frequency)/Unloaded Q-factor to calculate 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 calculate Conductance of Resonator using this online calculator? To use this online calculator for Conductance of Resonator, enter Capacitance at Vane Tips (C_v), Angular Frequency (ω) & Unloaded Q-factor (Q_un) and hit the calculate button. Here is how the Conductance of Resonator calculation can be explained with given input values -> 1.4E-5 = (2.5E-12*790000000)/141.07.

FAQ

What is Conductance of Resonator?

The Conductance of Resonator formula is defined as the potential for a resonator to conduct electricity and is represented as G = (C_v*ω)/Q_un or Conductance of Cavity = (Capacitance at Vane Tips*Angular Frequency)/Unloaded Q-factor. 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, Angular Frequency of a steadily recurring phenomenon expressed in radians per second & Unloaded Q-factor is defined as a dimensionless parameter that describes how underdamped an oscillator or resonator is.

How to calculate Conductance of Resonator?

The Conductance of Resonator formula is defined as the potential for a resonator to conduct electricity is calculated using Conductance of Cavity = (Capacitance at Vane Tips*Angular Frequency)/Unloaded Q-factor. To calculate Conductance of Resonator, you need Capacitance at Vane Tips (C_v), Angular Frequency (ω) & Unloaded Q-factor (Q_un). With our tool, you need to enter the respective value for Capacitance at Vane Tips, Angular Frequency & Unloaded Q-factor and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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