Maximum Input Voltage in Two Cavity Klystron Calculator

✖Reflex Klystron Voltage is the amount of voltage which is supplied to the klystron in order to generate an electron beam.ⓘ Reflex Klystron Voltage [V_k]			+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%
✖Average transient angle is Stability of Paralleled Synchronous and Virtual Synchronous Generators in Islanded Microgrids.ⓘ Average Transient Angle [θ_g]			+10% -10%

✖Maximum Input Voltage in Two Cavity Klystron is defined as the maximum amount of voltage which can be supplied to the klystron amplifier.ⓘ Maximum Input Voltage in Two Cavity Klystron [V_1max]

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Formula

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Maximum Input Voltage in Two Cavity Klystron

Formula

`"V"_{"1max"} = (2*"V"_{"k"}*"X")/("β"_{"i"}*"θ"_{"g"})`

Example

`"72.76255V"=(2*"300V"*"3.08")/("0.836"*"30.38rad")`

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Maximum Input Voltage in Two Cavity Klystron Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Input Voltage in Two Cavity Klystron = (2*Reflex Klystron Voltage*Bunching Parameter)/(Beam Coupling Coefficient*Average Transient Angle)
V_1max = (2*V_k*X)/(β_i*θ_g)
This formula uses 5 Variables

Variables Used

Maximum Input Voltage in Two Cavity Klystron - (Measured in Volt) - Maximum Input Voltage in Two Cavity Klystron is defined as the maximum amount of voltage which can be supplied to the klystron amplifier.
Reflex Klystron Voltage - (Measured in Volt) - Reflex Klystron Voltage is the amount of voltage which is supplied to the klystron in order to generate an electron beam.
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.
Average Transient Angle - (Measured in Radian) - Average transient angle is Stability of Paralleled Synchronous and Virtual Synchronous Generators in Islanded Microgrids.

STEP 1: Convert Input(s) to Base Unit

Reflex Klystron Voltage: 300 Volt --> 300 Volt No Conversion Required
Bunching Parameter: 3.08 --> No Conversion Required
Beam Coupling Coefficient: 0.836 --> No Conversion Required
Average Transient Angle: 30.38 Radian --> 30.38 Radian No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_1max = (2*V_k*X)/(β_i*θ_g) --> (2*300*3.08)/(0.836*30.38)

Evaluating ... ...

V_1max = 72.7625515401407

STEP 3: Convert Result to Output's Unit

72.7625515401407 Volt --> No Conversion Required

FINAL ANSWER

72.7625515401407 ≈ 72.76255 Volt <-- Maximum Input Voltage in Two Cavity Klystron

(Calculation completed in 00.020 seconds)

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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

Maximum Input Voltage in Two Cavity Klystron Formula

Maximum Input Voltage in Two Cavity Klystron = (2*Reflex Klystron Voltage*Bunching Parameter)/(Beam Coupling Coefficient*Average Transient Angle)
V_1max = (2*V_k*X)/(β_i*θ_g)

What are the characteristics of klystron?

The klystron tube is a single cavity variable frequency microwave generator of low power and low efficiency. It consists of an electron gun, a filament surrounded by cathode and a focusing electrode at cathode potential.

How to Calculate Maximum Input Voltage in Two Cavity Klystron?

Maximum Input Voltage in Two Cavity Klystron calculator uses Maximum Input Voltage in Two Cavity Klystron = (2*Reflex Klystron Voltage*Bunching Parameter)/(Beam Coupling Coefficient*Average Transient Angle) to calculate the Maximum Input Voltage in Two Cavity Klystron, The Maximum Input Voltage in Two Cavity Klystron formula is defined as the maximum amount of voltage which can be supplied to the klystron amplifier which is used to generate an electron beam. Maximum Input Voltage in Two Cavity Klystron is denoted by V_1max symbol.

How to calculate Maximum Input Voltage in Two Cavity Klystron using this online calculator? To use this online calculator for Maximum Input Voltage in Two Cavity Klystron, enter Reflex Klystron Voltage (V_k), Bunching Parameter (X), Beam Coupling Coefficient (β_i) & Average Transient Angle (θ_g) and hit the calculate button. Here is how the Maximum Input Voltage in Two Cavity Klystron calculation can be explained with given input values -> 72.76255 = (2*300*3.08)/(0.836*30.38).

FAQ

What is Maximum Input Voltage in Two Cavity Klystron?

The Maximum Input Voltage in Two Cavity Klystron formula is defined as the maximum amount of voltage which can be supplied to the klystron amplifier which is used to generate an electron beam and is represented as V_1max = (2*V_k*X)/(β_i*θ_g) or Maximum Input Voltage in Two Cavity Klystron = (2*Reflex Klystron Voltage*Bunching Parameter)/(Beam Coupling Coefficient*Average Transient Angle). Reflex Klystron Voltage is the amount of voltage which is supplied to the klystron in order to generate an electron beam, 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 & Average transient angle is Stability of Paralleled Synchronous and Virtual Synchronous Generators in Islanded Microgrids.

How to calculate Maximum Input Voltage in Two Cavity Klystron?

The Maximum Input Voltage in Two Cavity Klystron formula is defined as the maximum amount of voltage which can be supplied to the klystron amplifier which is used to generate an electron beam is calculated using Maximum Input Voltage in Two Cavity Klystron = (2*Reflex Klystron Voltage*Bunching Parameter)/(Beam Coupling Coefficient*Average Transient Angle). To calculate Maximum Input Voltage in Two Cavity Klystron, you need Reflex Klystron Voltage (V_k), Bunching Parameter (X), Beam Coupling Coefficient (β_i) & Average Transient Angle (θ_g). With our tool, you need to enter the respective value for Reflex Klystron Voltage, Bunching Parameter, Beam Coupling Coefficient & Average Transient Angle 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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