Magnitude of Microwave Signal at Input Cavity Calculator

✖Cathode Buncher Voltage is the voltage applied to the cathode of a klystron tube to produce a bunched electron beam that interacts with the resonant cavity of the klystron to produce microwave power.ⓘ Cathode Buncher Voltage [V_o]			+10% -10%
✖Bunching parameter as the ratio of the peak electric field to the average electric field at the input cavity of the klystron.ⓘ Bunching Parameter [X]			+10% -10%
✖Beam Coupling Coefficient is a measure of the interaction between an electron beam and an electromagnetic wave in a resonant cavity.ⓘ Beam Coupling Coefficient [β_i]			+10% -10%
✖Angular Variation refers to the change in some physical property of a system as the angle of observation or measurement is changed.ⓘ Angular Variation [θ_o]			+10% -10%

✖Magnitude of microwave signal is the strength of microwave signal.ⓘ Magnitude of Microwave Signal at Input Cavity [|V|]

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Formula

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Magnitude of Microwave Signal at Input Cavity

Formula

`"|V|" = (2*"V"_{"o"}*"X")/("β"_{"i"}*"θ"_{"o"})`

Example

`"49.86591"=(2*"85V"*"3.08")/("0.836"*"12.56rad")`

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Magnitude of Microwave Signal at Input Cavity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Magnitude of Microwave Signal = (2*Cathode Buncher Voltage*Bunching Parameter)/(Beam Coupling Coefficient*Angular Variation)
|V| = (2*V_o*X)/(β_i*θ_o)
This formula uses 5 Variables

Variables Used

Magnitude of Microwave Signal - Magnitude of microwave signal is the strength of microwave signal.
Cathode Buncher Voltage - (Measured in Volt) - Cathode Buncher Voltage is the voltage applied to the cathode of a klystron tube to produce a bunched electron beam that interacts with the resonant cavity of the klystron to produce microwave power.
Bunching Parameter - Bunching parameter as the ratio of the peak electric field to the average electric field at the input cavity of the klystron.
Beam Coupling Coefficient - Beam Coupling Coefficient is a measure of the interaction between an electron beam and an electromagnetic wave in a resonant cavity.
Angular Variation - (Measured in Radian) - Angular Variation refers to the change in some physical property of a system as the angle of observation or measurement is changed.

STEP 1: Convert Input(s) to Base Unit

Cathode Buncher Voltage: 85 Volt --> 85 Volt No Conversion Required
Bunching Parameter: 3.08 --> No Conversion Required
Beam Coupling Coefficient: 0.836 --> No Conversion Required
Angular Variation: 12.56 Radian --> 12.56 Radian No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

|V| = (2*V_o*X)/(β_i*θ_o) --> (2*85*3.08)/(0.836*12.56)

Evaluating ... ...

|V| = 49.8659068052296

STEP 3: Convert Result to Output's Unit

49.8659068052296 --> No Conversion Required

FINAL ANSWER

49.8659068052296 ≈ 49.86591 <-- Magnitude of Microwave Signal

(Calculation completed in 00.004 seconds)

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Created by Shobhit Dimri

Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

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National Institute Of Technology (NIT), Hamirpur

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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

Magnitude of Microwave Signal at Input Cavity Formula

Magnitude of Microwave Signal = (2*Cathode Buncher Voltage*Bunching Parameter)/(Beam Coupling Coefficient*Angular Variation)
|V| = (2*V_o*X)/(β_i*θ_o)

What is Klystron?

Klystrons are high power microwave vacuum tubes. They are velocity-modulated tubes that are used in radars as amplifiers or oscillators. A klystron uses the kinetic energy of an electron beam for the amplification of a high-frequency signal.

How to Calculate Magnitude of Microwave Signal at Input Cavity?

Magnitude of Microwave Signal at Input Cavity calculator uses Magnitude of Microwave Signal = (2*Cathode Buncher Voltage*Bunching Parameter)/(Beam Coupling Coefficient*Angular Variation) to calculate the Magnitude of Microwave Signal, The Magnitude of Microwave Signal at Input Cavity formula is defined as how much power a wave is carrying. Energy has to do with how long you run the microwaves. Magnitude of Microwave Signal is denoted by |V| symbol.

How to calculate Magnitude of Microwave Signal at Input Cavity using this online calculator? To use this online calculator for Magnitude of Microwave Signal at Input Cavity, enter Cathode Buncher Voltage (V_o), Bunching Parameter (X), Beam Coupling Coefficient (β_i) & Angular Variation (θ_o) and hit the calculate button. Here is how the Magnitude of Microwave Signal at Input Cavity calculation can be explained with given input values -> 49.86591 = (2*85*3.08)/(0.836*12.56).

FAQ

What is Magnitude of Microwave Signal at Input Cavity?

The Magnitude of Microwave Signal at Input Cavity formula is defined as how much power a wave is carrying. Energy has to do with how long you run the microwaves and is represented as |V| = (2*V_o*X)/(β_i*θ_o) or Magnitude of Microwave Signal = (2*Cathode Buncher Voltage*Bunching Parameter)/(Beam Coupling Coefficient*Angular Variation). Cathode Buncher Voltage is the voltage applied to the cathode of a klystron tube to produce a bunched electron beam that interacts with the resonant cavity of the klystron to produce microwave power, Bunching parameter as the ratio of the peak electric field to the average electric field at the input cavity of the klystron, Beam Coupling Coefficient is a measure of the interaction between an electron beam and an electromagnetic wave in a resonant cavity & Angular Variation refers to the change in some physical property of a system as the angle of observation or measurement is changed.

How to calculate Magnitude of Microwave Signal at Input Cavity?

The Magnitude of Microwave Signal at Input Cavity formula is defined as how much power a wave is carrying. Energy has to do with how long you run the microwaves is calculated using Magnitude of Microwave Signal = (2*Cathode Buncher Voltage*Bunching Parameter)/(Beam Coupling Coefficient*Angular Variation). To calculate Magnitude of Microwave Signal at Input Cavity, you need Cathode Buncher Voltage (V_o), Bunching Parameter (X), Beam Coupling Coefficient (β_i) & Angular Variation (θ_o). With our tool, you need to enter the respective value for Cathode Buncher Voltage, Bunching Parameter, Beam Coupling Coefficient & Angular Variation 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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