Velocity Modulation of Electrons in Klystron Cavity Calculator

✖High DC Voltage is the amount of voltage supplied to the klystron amplifier to generate the beam of electrons.ⓘ High DC Voltage [v_h]

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✖Velocity Modulation takes place near the accelerating grid in the reflex klystron cavity.ⓘ Velocity Modulation of Electrons in Klystron Cavity [v_p]

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Velocity Modulation of Electrons in Klystron Cavity Solution

STEP 0: Pre-Calculation Summary

Formula Used

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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Velocity Modulation of Electrons in Klystron Cavity Formula

LaTeX Go

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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