Average Transit Time Solution

STEP 0: Pre-Calculation Summary
Formula Used
Average Transit Time = Buncher Cavity Gap/Velocity Modulation
τ = d/vp
This formula uses 3 Variables
Variables Used
Average Transit Time - (Measured in Second) - Average Transit Time is the average time passed in the transient state.
Buncher Cavity Gap - (Measured in Meter) - Buncher Cavity Gap is the difference between two waves in the buncher cavity.
Velocity Modulation - (Measured in Meter per Second) - Velocity Modulation takes place near the accelerating grid in the reflex klystron cavity.
STEP 1: Convert Input(s) to Base Unit
Buncher Cavity Gap: 2356 Millimeter --> 2.356 Meter (Check conversion ​here)
Velocity Modulation: 19000000 Meter per Second --> 19000000 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
τ = d/vp --> 2.356/19000000
Evaluating ... ...
τ = 1.24E-07
STEP 3: Convert Result to Output's Unit
1.24E-07 Second --> No Conversion Required
FINAL ANSWER
1.24E-07 1.2E-7 Second <-- Average Transit Time
(Calculation completed in 00.011 seconds)

Credits

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Klystron Cavity Calculators

Phase Constant of Fundamental Mode Field
​ LaTeX ​ Go Phase Constant for N-cavities = (2*pi*Number of Oscillation)/(Mean Distance Between the Cavities*Number of Resonant Cavities)
Induced Current in Catcher Cavity
​ LaTeX ​ Go Induced Catcher Current = Current Arriving at Catcher Cavity Gap*Beam Coupling Coefficient
Buncher Cavity Gap
​ LaTeX ​ Go Buncher Cavity Gap = Average Transit Time*Electron Uniform Velocity
Induced Current in Walls of Catcher Cavity
​ LaTeX ​ Go Induced Catcher Current = Beam Coupling Coefficient*Direct Current

Average Transit Time Formula

​LaTeX ​Go
Average Transit Time = Buncher Cavity Gap/Velocity Modulation
τ = d/vp

What is meant by 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 Average Transit Time?

Average Transit Time calculator uses Average Transit Time = Buncher Cavity Gap/Velocity Modulation to calculate the Average Transit Time, The Average Transit Time formula is defined as the amount of time taken for the electrons to bunch in the klystron cavity. Average Transit Time is denoted by τ symbol.

How to calculate Average Transit Time using this online calculator? To use this online calculator for Average Transit Time, enter Buncher Cavity Gap (d) & Velocity Modulation (vp) and hit the calculate button. Here is how the Average Transit Time calculation can be explained with given input values -> 1.2E-7 = 2.356/19000000.

FAQ

What is Average Transit Time?
The Average Transit Time formula is defined as the amount of time taken for the electrons to bunch in the klystron cavity and is represented as τ = d/vp or Average Transit Time = Buncher Cavity Gap/Velocity Modulation. Buncher Cavity Gap is the difference between two waves in the buncher cavity & Velocity Modulation takes place near the accelerating grid in the reflex klystron cavity.
How to calculate Average Transit Time?
The Average Transit Time formula is defined as the amount of time taken for the electrons to bunch in the klystron cavity is calculated using Average Transit Time = Buncher Cavity Gap/Velocity Modulation. To calculate Average Transit Time, you need Buncher Cavity Gap (d) & Velocity Modulation (vp). With our tool, you need to enter the respective value for Buncher Cavity Gap & Velocity Modulation 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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