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Round Trip DC Transit Time Formula

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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. Check FAQs

T o = \frac{2 \cdot [Mass-e] \cdot L ds \cdot E vo}{[Charge-e] \cdot (V r + V o)}

T_o - DC Transient Time?L_ds - Drift Space Length?E_vo - Electron Uniform Velocity?V_r - Repeller Voltage?V_o - Beam Voltage?[Mass-e] - Mass of electron?[Charge-e] - Charge of electron?

Round Trip DC Transit Time Example

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Here is how the Round Trip DC Transit Time equation looks like with Values.

Here is how the Round Trip DC Transit Time equation looks like with Units.

Here is how the Round Trip DC Transit Time equation looks like.

0.1631 = \frac{2 \cdot 9.1E-31 \cdot 71.7 \cdot 6.2E+7}{1.6E-19 \cdot (0.12 + 0.19)}

0.1631s = \frac{2 \cdot 9.1E-31kg \cdot 71.7m \cdot 6.2E+7m/s}{1.6E-19C \cdot (0.12V + 0.19V)}

0.1631 = \frac{2 \cdot 9.1E-31 \cdot 71.7 \cdot 6.2E+7}{1.6E-19 \cdot (0.12 + 0.19)}

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Round Trip DC Transit Time Solution

Follow our step by step solution on how to calculate Round Trip DC Transit Time?

FIRST Step Consider the formula

T o = \frac{2 \cdot [Mass-e] \cdot L ds \cdot E vo}{[Charge-e] \cdot (V r + V o)}

Next Step Substitute values of Variables

∴

T o = \frac{2 \cdot [Mass-e] \cdot 71.7m \cdot 6.2E+7m/s}{[Charge-e] \cdot (0.12V + 0.19V)}

Next Step Substitute values of Constants

∴

T o = \frac{2 \cdot 9.1E-31kg \cdot 71.7m \cdot 6.2E+7m/s}{1.6E-19C \cdot (0.12V + 0.19V)}

Next Step Prepare to Evaluate

∴

T o = \frac{2 \cdot 9.1E-31 \cdot 71.7 \cdot 6.2E+7}{1.6E-19 \cdot (0.12 + 0.19)}

Next Step Evaluate

∴

T o = 0.163063870262194s

LAST Step Rounding Answer

∴

T o = 0.1631s

Round Trip DC Transit Time Formula Elements

Variables

Constants

DC Transient Time

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.

Symbol: T_o

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find DC Transient Time

Drift Space Length

Drift Space Length refers to the distance between two consecutive bunches of charged particles in a particle accelerator or a beam transport system.

Symbol: L_ds

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Drift Space Length

Electron Uniform Velocity

The Electron Uniform Velocity is the speed at which electron moves into a cavity while in a vacuum space.

Symbol: E_vo

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Electron Uniform Velocity

Repeller Voltage

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.

Symbol: V_r

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Repeller Voltage

Beam 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.

Symbol: V_o

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Beam Voltage

Mass of electron

Mass of electron is a fundamental physical constant, representing the amount of matter contained within an electron, an elementary particle with a negative electric charge.

Symbol: [Mass-e]

Value: 9.10938356E-31 kg

Charge of electron

Charge of electron is a fundamental physical constant, representing the electric charge carried by an electron, which is the elementary particle with a negative electric charge.

Symbol: [Charge-e]

Value: 1.60217662E-19 C

Other formulas in Helix Tube category

Go Ratio of Voltage Wave

V swr = \sqrt{P sw}

Go Insertion Loss

I L = 20 \cdot \log 10 (\frac{V t}{V in})

Go Power Standing Wave Ratio

P sw = {V swr}^{2}

Go Saturation Drift Voltage

V ds = \frac{L g}{T o}

How to Evaluate Round Trip DC Transit Time?

Round Trip DC Transit Time evaluator uses DC Transient Time = (2*[Mass-e]*Drift Space Length*Electron Uniform Velocity)/([Charge-e]*(Repeller Voltage+Beam Voltage)) to evaluate 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 evaluate Round Trip DC Transit Time using this online evaluator? To use this online evaluator 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.

FAQs on Round Trip DC Transit Time

What is the formula to find Round Trip DC Transit Time?

The formula of Round Trip DC Transit Time is expressed as DC Transient Time = (2*[Mass-e]*Drift Space Length*Electron Uniform Velocity)/([Charge-e]*(Repeller Voltage+Beam Voltage)). Here is an example- 0.163064 = (2*[Mass-e]*71.7*62000000)/([Charge-e]*(0.12+0.19)).

How to calculate Round Trip DC Transit Time?

With Drift Space Length (L_ds), Electron Uniform Velocity (E_vo), Repeller Voltage (V_r) & Beam Voltage (V_o) we can find Round Trip DC Transit Time using the formula - DC Transient Time = (2*[Mass-e]*Drift Space Length*Electron Uniform Velocity)/([Charge-e]*(Repeller Voltage+Beam Voltage)). This formula also uses Mass of electron, Charge of electron constant(s).

Can the Round Trip DC Transit Time be negative?

No, the Round Trip DC Transit Time, measured in Time cannot be negative.

Which unit is used to measure Round Trip DC Transit Time?

Round Trip DC Transit Time is usually measured using the Second[s] for Time. Millisecond[s], Microsecond[s], Nanosecond[s] are the few other units in which Round Trip DC Transit Time can be measured.

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Round Trip DC Transit Time Formula

Round Trip DC Transit Time Example

Round Trip DC Transit Time Solution

Round Trip DC Transit Time Formula Elements

Other formulas in Helix Tube category

How to Evaluate Round Trip DC Transit Time?

FAQs on Round Trip DC Transit Time

Variable Name