Velocity Modulation of Electrons in Klystron Cavity Calculator

Velocity Modulation = sqrt((2*[Charge-e]*High DC Voltage)/[Mass-e])
v_p = sqrt((2*[Charge-e]*v_h)/[Mass-e])
This formula uses 2 Constants, 1 Functions, 2 Variables

Constants Used

[Charge-e] - Charge of electron Value Taken As 1.60217662E-19
[Mass-e] - Mass of electron Value Taken As 9.10938356E-31

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Velocity Modulation - (Measured in Meter per Second) - Velocity Modulation takes place near the accelerating grid in the reflex klystron cavity.
High DC Voltage - (Measured in Volt) - High DC Voltage is the amount of voltage supplied to the klystron amplifier to generate the beam of electrons.

STEP 1: Convert Input(s) to Base Unit

High DC Voltage: 1000 Volt --> 1000 Volt No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

v_p = sqrt((2*[Charge-e]*v_h)/[Mass-e]) --> sqrt((2*[Charge-e]*1000)/[Mass-e])

Evaluating ... ...

v_p = 18755372.6847744

STEP 3: Convert Result to Output's Unit

18755372.6847744 Meter per Second --> No Conversion Required

FINAL ANSWER

18755372.6847744 ≈ 1.9E+7 Meter per Second <-- Velocity Modulation

(Calculation completed in 00.004 seconds)

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Created by Passya Saikeshav Reddy

CVR COLLEGE OF ENGINEERING (CVR), India

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Verified by Parminder Singh

Chandigarh University (CU), Punjab

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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

Velocity Modulation of Electrons in Klystron Cavity Formula

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

What is the bunching process?

Any process that introduces a radio-frequency conduction-current component into a velocity-modulated electron stream as a direct result of the variation in electron transit time that the velocity modulation produces.

How to Calculate Velocity Modulation of Electrons in Klystron Cavity?

Velocity Modulation of Electrons in Klystron Cavity calculator uses Velocity Modulation = sqrt((2*[Charge-e]*High DC Voltage)/[Mass-e]) to calculate the Velocity Modulation, The Velocity Modulation of electrons in Klystron Cavity formula is defined as that variation in the velocity of a beam of electrons caused by the alternate speeding up and slowing down of the electrons in the beam. Velocity Modulation is denoted by v_p symbol.

How to calculate Velocity Modulation of Electrons in Klystron Cavity using this online calculator? To use this online calculator for Velocity Modulation of Electrons in Klystron Cavity, enter High DC Voltage (v_h) and hit the calculate button. Here is how the Velocity Modulation of Electrons in Klystron Cavity calculation can be explained with given input values -> 1.9E+7 = sqrt((2*[Charge-e]*1000)/[Mass-e]).

FAQ

What is Velocity Modulation of Electrons in Klystron Cavity?

The Velocity Modulation of electrons in Klystron Cavity formula is defined as that variation in the velocity of a beam of electrons caused by the alternate speeding up and slowing down of the electrons in the beam and is represented as v_p = sqrt((2*[Charge-e]*v_h)/[Mass-e]) or Velocity Modulation = sqrt((2*[Charge-e]*High DC Voltage)/[Mass-e]). High DC Voltage is the amount of voltage supplied to the klystron amplifier to generate the beam of electrons.

How to calculate Velocity Modulation of Electrons in Klystron Cavity?

The Velocity Modulation of electrons in Klystron Cavity formula is defined as that variation in the velocity of a beam of electrons caused by the alternate speeding up and slowing down of the electrons in the beam is calculated using Velocity Modulation = sqrt((2*[Charge-e]*High DC Voltage)/[Mass-e]). To calculate Velocity Modulation of Electrons in Klystron Cavity, you need High DC Voltage (v_h). With our tool, you need to enter the respective value for High DC Voltage 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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