Buncher Cavity Gap Solution

STEP 0: Pre-Calculation Summary
Formula Used
Buncher Cavity Gap = Average Transit Time*Electron Uniform Velocity
d = τ*Evo
This formula uses 3 Variables
Variables Used
Buncher Cavity Gap - (Measured in Meter) - Buncher Cavity Gap is the difference between two waves in the buncher cavity.
Average Transit Time - (Measured in Second) - Average Transit Time is the average time passed in the transient state.
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.
STEP 1: Convert Input(s) to Base Unit
Average Transit Time: 3.8E-08 Second --> 3.8E-08 Second No Conversion Required
Electron Uniform Velocity: 62000000 Meter per Second --> 62000000 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
d = τ*Evo --> 3.8E-08*62000000
Evaluating ... ...
d = 2.356
STEP 3: Convert Result to Output's Unit
2.356 Meter -->2356 Millimeter (Check conversion here)
FINAL ANSWER
2356 Millimeter <-- Buncher Cavity Gap
(Calculation completed in 00.020 seconds)

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
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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)
Average Distance between Cavities
Go Mean Distance Between the Cavities = (2*pi*Number of Oscillation)/(Phase Constant for N-cavities*Number of Resonant Cavities)
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)
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])
Conductance of Resonator
Go Conductance of Cavity = (Capacitance at Vane Tips*Angular Frequency)/Unloaded Q-factor
Beam Coupling Coefficient in Two Cavity Klystron
Go Beam Coupling Coefficient = sin(Average Transient Angle/2)/(Average Transient Angle/2)
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

Buncher Cavity Gap Formula

Buncher Cavity Gap = Average Transit Time*Electron Uniform Velocity
d = τ*Evo

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 Buncher Cavity Gap?

Buncher Cavity Gap calculator uses Buncher Cavity Gap = Average Transit Time*Electron Uniform Velocity to calculate the Buncher Cavity Gap, The Buncher Cavity Gap formula is defined as the time gap between the waveform of two signals in the buncher cavity. Buncher Cavity Gap is denoted by d symbol.

How to calculate Buncher Cavity Gap using this online calculator? To use this online calculator for Buncher Cavity Gap, enter Average Transit Time (τ) & Electron Uniform Velocity (Evo) and hit the calculate button. Here is how the Buncher Cavity Gap calculation can be explained with given input values -> 2.4E+6 = 3.8E-08*62000000 .

FAQ

What is Buncher Cavity Gap?
The Buncher Cavity Gap formula is defined as the time gap between the waveform of two signals in the buncher cavity and is represented as d = τ*Evo or Buncher Cavity Gap = Average Transit Time*Electron Uniform Velocity. Average Transit Time is the average time passed in the transient state & The Electron Uniform Velocity is the speed at which electron moves into a cavity while in a vacuum space.
How to calculate Buncher Cavity Gap?
The Buncher Cavity Gap formula is defined as the time gap between the waveform of two signals in the buncher cavity is calculated using Buncher Cavity Gap = Average Transit Time*Electron Uniform Velocity. To calculate Buncher Cavity Gap, you need Average Transit Time (τ) & Electron Uniform Velocity (Evo). With our tool, you need to enter the respective value for Average Transit Time & Electron Uniform Velocity 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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