Electron Uniform Velocity Calculator

✖Beam Voltage is the voltage applied to an electron beam in a vacuum tube or other electronic device to accelerate the electrons and control their speed and energy.ⓘ Beam Voltage [V_o]

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✖The Electron Uniform Velocity is the speed at which electron moves into a cavity while in a vacuum space.ⓘ Electron Uniform Velocity [E_vo]

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Formula

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Electron Uniform Velocity

Formula

`"E"_{"vo"} = sqrt((2*"V"_{"o"})*("[Charge-e]"/"[Mass-e]"))`

Example

`"258525m/s"=sqrt((2*"0.19V")*("[Charge-e]"/"[Mass-e]"))`

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Download Magnetron Oscillator Formulas PDF

Electron Uniform Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Electron Uniform Velocity = sqrt((2*Beam Voltage)*([Charge-e]/[Mass-e]))
E_vo = sqrt((2*V_o)*([Charge-e]/[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

Electron Uniform Velocity - (Measured in Meter per Second) - The Electron Uniform Velocity is the speed at which electron moves into a cavity while in a vacuum space.
Beam Voltage - (Measured in Volt) - Beam Voltage is the voltage applied to an electron beam in a vacuum tube or other electronic device to accelerate the electrons and control their speed and energy.

STEP 1: Convert Input(s) to Base Unit

Beam Voltage: 0.19 Volt --> 0.19 Volt No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E_vo = sqrt((2*V_o)*([Charge-e]/[Mass-e])) --> sqrt((2*0.19)*([Charge-e]/[Mass-e]))

Evaluating ... ...

E_vo = 258524.971450552

STEP 3: Convert Result to Output's Unit

258524.971450552 Meter per Second --> No Conversion Required

FINAL ANSWER

258524.971450552 ≈ 258525 Meter per Second <-- Electron Uniform Velocity

(Calculation completed in 00.006 seconds)

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Created by Shobhit Dimri

Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

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< 17 Magnetron Oscillator Calculators

Distance between Anode and Cathode

Go Distance Between Anode and Cathode = (1/Hull Cutoff Magnetic Flux Density)*sqrt(2*([Mass-e]/[Charge-e])*Anode Voltage)

Hull Cutoff Magnetic Flux Density

Go Hull Cutoff Magnetic Flux Density = (1/Distance Between Anode and Cathode)*sqrt(2*([Mass-e]/[Charge-e])*Anode Voltage)

Hull Cut-off Voltage

Go Hull Cut off Voltage = (1/2)*([Charge-e]/[Mass-e])*Hull Cutoff Magnetic Flux Density^2*Distance Between Anode and Cathode^2

Electron Uniform Velocity

Go Electron Uniform Velocity = sqrt((2*Beam Voltage)*([Charge-e]/[Mass-e]))

Cyclotron Angular Frequency

Go Cyclotron Angular Frequency = Magnetic Flux Density in Z Direction*([Charge-e]/[Mass-e])

Circuit Efficiency in Magnetron

Go Circuit Efficiency = Resonator Conductance/(Resonator Conductance+Conductance of Cavity)

Anode Current

Go Anode Current = Power Generated in Anode Circuit/(Anode Voltage*Electronic Efficiency)

Magnetron Phase Shift

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

Repetition Frequency of Pulse

Go Repetition Frequency = (Spectral Line Frequency-Carrier Frequency)/Number of Samples

Spectral Line Frequency

Go Spectral Line Frequency = Carrier Frequency+Number of Samples*Repetition Frequency

Noise Ratio

Go Signal Noise Ratio = (Input Signal Noise Ratio/Output Signal Noise Ratio)-1

Space Charge Reduction Factor

Go Space Charge Reduction Factor = Reduced Plasma Frequency/Plasma Frequency

Electronic Efficiency

Go Electronic Efficiency = Power Generated in Anode Circuit/DC Power Supply

Modulation Linearity

Go Modulation Linearity = Maximum Frequency Deviation/Peak Frequency

Receiver Sensitivity

Go Receiver Sensitivity = Receiver Noise Floor+Signal Noise Ratio

Characteristic Admittance

Go Characteristic Admittance = 1/Characteristic Impedance

RF Pulse Width

Go RF Pulse Width = 1/(2*Bandwidth)

Electron Uniform Velocity Formula

Electron Uniform Velocity = sqrt((2*Beam Voltage)*([Charge-e]/[Mass-e]))
E_vo = sqrt((2*V_o)*([Charge-e]/[Mass-e]))

What is Buncher Cavity Gap?

A buncher is an RF accelerator followed by a drift space. Its purpose is to bunch the dc ion source beam into suitable bunches for acceleration in a linac. The voltage in a simple buncher is a sine wave at the linac frequency.

How to Calculate Electron Uniform Velocity?

Electron Uniform Velocity calculator uses Electron Uniform Velocity = sqrt((2*Beam Voltage)*([Charge-e]/[Mass-e])) to calculate the Electron Uniform Velocity, Electron Uniform Velocity refers to the velocity at which an electron enters the cavity in a vacuum. In a vacuum, an electron will have a uniform velocity if it is subjected to a constant electric field. The velocity of the electron will depend on the strength of the electric field and the mass of the electron. Electron Uniform Velocity is denoted by E_vo symbol.

How to calculate Electron Uniform Velocity using this online calculator? To use this online calculator for Electron Uniform Velocity, enter Beam Voltage (V_o) and hit the calculate button. Here is how the Electron Uniform Velocity calculation can be explained with given input values -> 258525 = sqrt((2*0.19)*([Charge-e]/[Mass-e])).

FAQ

What is Electron Uniform Velocity?

Electron Uniform Velocity refers to the velocity at which an electron enters the cavity in a vacuum. In a vacuum, an electron will have a uniform velocity if it is subjected to a constant electric field. The velocity of the electron will depend on the strength of the electric field and the mass of the electron and is represented as E_vo = sqrt((2*V_o)*([Charge-e]/[Mass-e])) or Electron Uniform Velocity = sqrt((2*Beam Voltage)*([Charge-e]/[Mass-e])). Beam Voltage is the voltage applied to an electron beam in a vacuum tube or other electronic device to accelerate the electrons and control their speed and energy.

How to calculate Electron Uniform Velocity?

Electron Uniform Velocity refers to the velocity at which an electron enters the cavity in a vacuum. In a vacuum, an electron will have a uniform velocity if it is subjected to a constant electric field. The velocity of the electron will depend on the strength of the electric field and the mass of the electron is calculated using Electron Uniform Velocity = sqrt((2*Beam Voltage)*([Charge-e]/[Mass-e])). To calculate Electron Uniform Velocity, you need Beam Voltage (V_o). With our tool, you need to enter the respective value for Beam 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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