Round Trip DC Transit Time Calculator

✖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%
✖The Electron Uniform Velocity is the speed at which electron moves into a cavity while in a vacuum space.ⓘ Electron Uniform Velocity [E_vo]			+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]			+10% -10%
✖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]			+10% -10%

✖DC Transient Time refers to the time taken by an electron to travel from the cathode to the anode of an electron device and then back to the cathode.ⓘ Round Trip DC Transit Time [T_o]

⎘ Copy

👎

Formula

✖

Round Trip DC Transit Time

Formula

`"T"_{"o"} = (2*"[Mass-e]"*"L"_{"ds"}*"E"_{"vo"})/("[Charge-e]"*("V"_{"r"}+"V"_{"o"}))`

Example

`"0.163064s"=(2*"[Mass-e]"*"71.7m"*"6.2e7m/s")/("[Charge-e]"*("0.12V"+"0.19V"))`

Calculator

LaTeX

Reset

👍

Download Microwave Tubes and Circuits Formula PDF

Round Trip DC Transit Time Solution

STEP 0: Pre-Calculation Summary

Formula Used

DC Transient Time = (2*[Mass-e]*Drift Space Length*Electron Uniform Velocity)/([Charge-e]*(Repeller Voltage+Beam Voltage))
T_o = (2*[Mass-e]*L_ds*E_vo)/([Charge-e]*(V_r+V_o))
This formula uses 2 Constants, 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

Variables Used

DC Transient Time - (Measured in Second) - DC Transient Time refers to the time taken by an electron to travel from the cathode to the anode of an electron device and then back to the cathode.
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.
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.
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.
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

Drift Space Length: 71.7 Meter --> 71.7 Meter No Conversion Required
Electron Uniform Velocity: 62000000 Meter per Second --> 62000000 Meter per Second No Conversion Required
Repeller Voltage: 0.12 Volt --> 0.12 Volt No Conversion Required
Beam Voltage: 0.19 Volt --> 0.19 Volt No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_o = (2*[Mass-e]*L_ds*E_vo)/([Charge-e]*(V_r+V_o)) --> (2*[Mass-e]*71.7*62000000)/([Charge-e]*(0.12+0.19))

Evaluating ... ...

T_o = 0.163063870262194

STEP 3: Convert Result to Output's Unit

0.163063870262194 Second --> No Conversion Required

FINAL ANSWER

0.163063870262194 ≈ 0.163064 Second <-- DC Transient Time

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Electronics » Microwave Theory » Microwave Tubes and Circuits » Helix Tube » Round Trip DC Transit Time

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!

< 12 Helix Tube Calculators

Round Trip DC Transit Time

Go DC Transient Time = (2*[Mass-e]*Drift Space Length*Electron Uniform Velocity)/([Charge-e]*(Repeller Voltage+Beam Voltage))

DC Voltage

Go DC Voltage = (0.5*[Mass-e]*Electron Uniform Velocity^2)/[Charge-e]

Reflection Coefficient

Go Reflection Coefficient = (Voltage Standing Wave Ratio-1)/(Voltage Standing Wave Ratio+1)

Insertion Loss

Go Insertion Loss = 20*log10(Voltage/Input Signal Amplitude)

Pitch Angle

Go Pitch Angle = arsin(Phase Velocity/[c])

Phase Velocity

Go Phase Velocity = [c]*sin(Pitch Angle)

Voltage Standing Wave Ratio

Go Voltage Standing Wave Ratio = Maximum Voltage/Minimum Voltage

Ratio of Voltage Wave

Go Voltage Standing Wave Ratio = sqrt(Power Standing Wave Ratio)

Saturation Drift Voltage

Go Saturation Drift Velocity = Gate Length/DC Transient Time

Gate Length

Go Gate Length = DC Transient Time*Saturation Drift Velocity

Mismatched Loss

Go Mismatched Loss = -10*log10(1-Reflection Coefficient^2)

Power Standing Wave Ratio

Go Power Standing Wave Ratio = Voltage Standing Wave Ratio^2

Round Trip DC Transit Time Formula

DC Transient Time = (2*[Mass-e]*Drift Space Length*Electron Uniform Velocity)/([Charge-e]*(Repeller Voltage+Beam Voltage))
T_o = (2*[Mass-e]*L_ds*E_vo)/([Charge-e]*(V_r+V_o))

How essential is Round Trip DC Transit Time?

Round-trip DC transit time is essential for designing and optimizing electron devices, as it influences the device's ability to amplify signals at different frequencies. Engineers aim to minimize transit time to enhance the efficiency and performance of these devices in applications like communication systems and radar.

How to Calculate Round Trip DC Transit Time?

Round Trip DC Transit Time calculator uses DC Transient Time = (2*[Mass-e]*Drift Space Length*Electron Uniform Velocity)/([Charge-e]*(Repeller Voltage+Beam Voltage)) to calculate the DC Transient Time, Round Trip DC Transit Time refers to the time taken by an electron to travel from the cathode to the anode of an electron device and then back to the cathode. It determines the maximum frequency of operation of vacuum tubes, klystrons, magnetrons, and traveling-wave tubes. DC Transient Time is denoted by T_o symbol.

How to calculate Round Trip DC Transit Time using this online calculator? To use this online calculator for Round Trip DC Transit Time, enter Drift Space Length (L_ds), Electron Uniform Velocity (E_vo), Repeller Voltage (V_r) & Beam Voltage (V_o) and hit the calculate button. Here is how the Round Trip DC Transit Time calculation can be explained with given input values -> 0.163064 = (2*[Mass-e]*71.7*62000000)/([Charge-e]*(0.12+0.19)).

FAQ

What is Round Trip DC Transit Time?

Round Trip DC Transit Time refers to the time taken by an electron to travel from the cathode to the anode of an electron device and then back to the cathode. It determines the maximum frequency of operation of vacuum tubes, klystrons, magnetrons, and traveling-wave tubes and is represented as T_o = (2*[Mass-e]*L_ds*E_vo)/([Charge-e]*(V_r+V_o)) or DC Transient Time = (2*[Mass-e]*Drift Space Length*Electron Uniform Velocity)/([Charge-e]*(Repeller Voltage+Beam Voltage)). Drift Space Length refers to the distance between two consecutive bunches of charged particles in a particle accelerator or a beam transport system, The Electron Uniform Velocity is the speed at which electron moves into a cavity while in a vacuum space, 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 & 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 Round Trip DC Transit Time?

Round Trip DC Transit Time refers to the time taken by an electron to travel from the cathode to the anode of an electron device and then back to the cathode. It determines the maximum frequency of operation of vacuum tubes, klystrons, magnetrons, and traveling-wave tubes is calculated using DC Transient Time = (2*[Mass-e]*Drift Space Length*Electron Uniform Velocity)/([Charge-e]*(Repeller Voltage+Beam Voltage)). To calculate Round Trip DC Transit Time, you need Drift Space Length (L_ds), Electron Uniform Velocity (E_vo), Repeller Voltage (V_r) & Beam Voltage (V_o). With our tool, you need to enter the respective value for Drift Space Length, Electron Uniform Velocity, Repeller Voltage & Beam Voltage and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search