Repeller Voltage Calculator

✖Angular Frequency of a steadily recurring phenomenon expressed in radians per second.ⓘ Angular Frequency [ω]			+10% -10%
✖Drift Space Length refers to the distance between two consecutive bunches of charged particles in a particle accelerator or a beam transport system.ⓘ Drift Space Length [L_ds]			+10% -10%
✖Small 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.ⓘ Small Beam Voltage [V_o]			+10% -10%
✖Number of Oscillation refers to the occurrence of the oscillation.ⓘ Number of Oscillation [M]			+10% -10%

✖Repeller Voltage refers to the voltage applied to a repeller electrode in a vacuum tube. The repeller voltage is typically negative with respect to the cathode voltage.ⓘ Repeller Voltage [V_r]

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Formula

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Repeller Voltage

Formula

`"V"_{"r"} = sqrt((8*"ω"^2*"L"_{"ds"}^2*"V"_{"o"})/((2*pi*"M")-(pi/2))^2*("[Mass-e]"/"[Charge-e]"))-"V"_{"o"}`

Example

`"58444.61V"=sqrt((8*("7.9e8rad/s")^2*("71.7m")^2*"13V")/((2*pi*"4")-(pi/2))^2*("[Mass-e]"/"[Charge-e]"))-"13V"`

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Repeller Voltage Solution

STEP 0: Pre-Calculation Summary

Formula Used

Repeller Voltage = sqrt((8*Angular Frequency^2*Drift Space Length^2*Small Beam Voltage)/((2*pi*Number of Oscillation)-(pi/2))^2*([Mass-e]/[Charge-e]))-Small Beam Voltage
V_r = sqrt((8*ω^2*L_ds^2*V_o)/((2*pi*M)-(pi/2))^2*([Mass-e]/[Charge-e]))-V_o
This formula uses 3 Constants, 1 Functions, 5 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
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

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

Repeller Voltage - (Measured in Volt) - Repeller Voltage refers to the voltage applied to a repeller electrode in a vacuum tube. The repeller voltage is typically negative with respect to the cathode voltage.
Angular Frequency - (Measured in Radian per Second) - Angular Frequency of a steadily recurring phenomenon expressed in radians per second.
Drift Space Length - (Measured in Meter) - Drift Space Length refers to the distance between two consecutive bunches of charged particles in a particle accelerator or a beam transport system.
Small Beam Voltage - (Measured in Volt) - Small 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.
Number of Oscillation - Number of Oscillation refers to the occurrence of the oscillation.

STEP 1: Convert Input(s) to Base Unit

Angular Frequency: 790000000 Radian per Second --> 790000000 Radian per Second No Conversion Required
Drift Space Length: 71.7 Meter --> 71.7 Meter No Conversion Required
Small Beam Voltage: 13 Volt --> 13 Volt No Conversion Required
Number of Oscillation: 4 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_r = sqrt((8*ω^2*L_ds^2*V_o)/((2*pi*M)-(pi/2))^2*([Mass-e]/[Charge-e]))-V_o --> sqrt((8*790000000^2*71.7^2*13)/((2*pi*4)-(pi/2))^2*([Mass-e]/[Charge-e]))-13

Evaluating ... ...

V_r = 58444.6132901852

STEP 3: Convert Result to Output's Unit

58444.6132901852 Volt --> No Conversion Required

FINAL ANSWER

58444.6132901852 ≈ 58444.61 Volt <-- Repeller Voltage

(Calculation completed in 00.004 seconds)

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Home » Engineering » Electronics » Microwave Theory » Microwave Tubes and Circuits » Beam Tube » Repeller Voltage

Credits

Created by Shobhit Dimri

Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

Shobhit Dimri has created this Calculator and 900+ more calculators!

Verified by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

Urvi Rathod has verified this Calculator and 1900+ more calculators!

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Repeller Voltage

Go Repeller Voltage = sqrt((8*Angular Frequency^2*Drift Space Length^2*Small Beam Voltage)/((2*pi*Number of Oscillation)-(pi/2))^2*([Mass-e]/[Charge-e]))-Small Beam Voltage

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Repeller Voltage Formula

What is significance of Repeller Voltage?

Repeller voltage is significant for controlling the electron beam's acceleration and focus. Positioned between the cathode and the anode, the Repeller electrode plays a crucial role in determining the speed and energy of emitted electrons.

How to Calculate Repeller Voltage?

Repeller Voltage calculator uses Repeller Voltage = sqrt((8*Angular Frequency^2*Drift Space Length^2*Small Beam Voltage)/((2*pi*Number of Oscillation)-(pi/2))^2*([Mass-e]/[Charge-e]))-Small Beam Voltage to calculate the Repeller Voltage, The Repeller Voltage formula is defined as the voltage applied to an electrode to push generated ions from the ion chamber toward the analyzer of a mass spectrometer. Repeller Voltage is denoted by V_r symbol.

How to calculate Repeller Voltage using this online calculator? To use this online calculator for Repeller Voltage, enter Angular Frequency (ω), Drift Space Length (L_ds), Small Beam Voltage (V_o) & Number of Oscillation (M) and hit the calculate button. Here is how the Repeller Voltage calculation can be explained with given input values -> 58444.61 = sqrt((8*790000000^2*71.7^2*13)/((2*pi*4)-(pi/2))^2*([Mass-e]/[Charge-e]))-13.

FAQ

What is Repeller Voltage?

The Repeller Voltage formula is defined as the voltage applied to an electrode to push generated ions from the ion chamber toward the analyzer of a mass spectrometer and is represented as V_r = sqrt((8*ω^2*L_ds^2*V_o)/((2*pi*M)-(pi/2))^2*([Mass-e]/[Charge-e]))-V_o or Repeller Voltage = sqrt((8*Angular Frequency^2*Drift Space Length^2*Small Beam Voltage)/((2*pi*Number of Oscillation)-(pi/2))^2*([Mass-e]/[Charge-e]))-Small Beam Voltage. Angular Frequency of a steadily recurring phenomenon expressed in radians per second, Drift Space Length refers to the distance between two consecutive bunches of charged particles in a particle accelerator or a beam transport system, Small 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 & Number of Oscillation refers to the occurrence of the oscillation.

How to calculate Repeller Voltage?

The Repeller Voltage formula is defined as the voltage applied to an electrode to push generated ions from the ion chamber toward the analyzer of a mass spectrometer is calculated using Repeller Voltage = sqrt((8*Angular Frequency^2*Drift Space Length^2*Small Beam Voltage)/((2*pi*Number of Oscillation)-(pi/2))^2*([Mass-e]/[Charge-e]))-Small Beam Voltage. To calculate Repeller Voltage, you need Angular Frequency (ω), Drift Space Length (L_ds), Small Beam Voltage (V_o) & Number of Oscillation (M). With our tool, you need to enter the respective value for Angular Frequency, Drift Space Length, Small Beam Voltage & Number of Oscillation 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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