Average Transit Time Calculator

✖Buncher Cavity Gap is the difference between two waves in the buncher cavity.ⓘ Buncher Cavity Gap [d]			+10% -10%
✖Velocity Modulation takes place near the accelerating grid in the reflex klystron cavity.ⓘ Velocity Modulation [v_p]			+10% -10%

✖Average Transit Time is the average time passed in the transient state.ⓘ Average Transit Time [τ]

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Formula

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Average Transit Time

Formula

`"τ" = "d"/"v"_{"p"}`

Example

`"1.2E^-7s"="2356mm"/"1.9e7m/s"`

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Average Transit Time Solution

STEP 0: Pre-Calculation Summary

Formula Used

Average Transit Time = Buncher Cavity Gap/Velocity Modulation
τ = d/v_p
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/v_p --> 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 00.004 seconds)

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Created by Passya Saikeshav Reddy

CVR COLLEGE OF ENGINEERING (CVR), India

Passya Saikeshav Reddy has created this Calculator and 10+ more calculators!

Verified by Parminder Singh

Chandigarh University (CU), Punjab

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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)

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)

Average Distance between Cavities

Go Mean Distance Between the Cavities = (2*pi*Number of Oscillation)/(Phase Constant for N-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])

Beam Coupling Coefficient in Two Cavity Klystron

Go Beam Coupling Coefficient = sin(Average Transient Angle/2)/(Average Transient Angle/2)

Conductance of Resonator

Go Conductance of Cavity = (Capacitance at Vane Tips*Angular Frequency)/Unloaded Q-factor

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

Average Transit Time Formula

Average Transit Time = Buncher Cavity Gap/Velocity Modulation
τ = d/v_p

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 (v_p) 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/v_p 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 (v_p). 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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