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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Formula

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Conductance of Resonator

Formula

`"G" = ("C"_{"v"}*"ω")/"Q"_{"un"}`

Example

`"1.4E^-5S"=("2.5pF"*"7.9e8rad/s")/"141.07"`

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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 00.020 seconds)

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Home » Engineering » Electronics » Microwave Theory » Microwave Tubes and Circuits » Klystron Cavity » Conductance of Resonator

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< 14 Klystron Cavity Calculators

Average Microwave Voltage in Buncher Gap

Go Average Microwave Voltage = Input Signal Amplitude*Beam Coupling Coefficient*sin(Angular Frequency*Entering Time+(Average Transient Angle/2))

Maximum Input Voltage in Two Cavity Klystron

Go Maximum Input Voltage in Two Cavity Klystron = (2*Reflex Klystron Voltage*Bunching Parameter)/(Beam Coupling Coefficient*Average Transient Angle)

Phase Constant of Fundamental Mode Field

Go Phase Constant for N-cavities = (2*pi*Number of Oscillation)/(Mean Distance Between the Cavities*Number of Resonant Cavities)

Average Distance between Cavities

Go Mean Distance Between the Cavities = (2*pi*Number of Oscillation)/(Phase Constant for N-cavities*Number of Resonant Cavities)

Magnitude of Microwave Signal at Input Cavity

Go Magnitude of Microwave Signal = (2*Cathode Buncher Voltage*Bunching Parameter)/(Beam Coupling Coefficient*Angular Variation)

Velocity Modulation of Electrons in Klystron Cavity

Go Velocity Modulation = sqrt((2*[Charge-e]*High DC Voltage)/[Mass-e])

Beam Coupling Coefficient in Two Cavity Klystron

Go Beam Coupling Coefficient = sin(Average Transient Angle/2)/(Average Transient Angle/2)

Conductance of Resonator

Go Conductance of Cavity = (Capacitance at Vane Tips*Angular Frequency)/Unloaded Q-factor

Number of Resonant Cavities

Go Number of Resonant Cavities = (2*pi*Number of Oscillation)/Phase Shift in Magnetron

Induced Current in Catcher Cavity

Go Induced Catcher Current = Current Arriving at Catcher Cavity Gap*Beam Coupling Coefficient

Buncher Cavity Gap

Go Buncher Cavity Gap = Average Transit Time*Electron Uniform Velocity

Induced Current in Walls of Catcher Cavity

Go Induced Catcher Current = Beam Coupling Coefficient*Direct Current

Average Transit Angle

Go Average Transient Angle = Angular Frequency*Average Transit Time

Average Transit Time

Go Average Transit Time = Buncher Cavity Gap/Velocity Modulation

Conductance of Resonator Formula

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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