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Velocity Modulation of Electrons in Klystron Cavity Formula

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Velocity Modulation takes place near the accelerating grid in the reflex klystron cavity. Check FAQs

v p = \sqrt{\frac{2 \cdot [Charge-e] \cdot v h}{[Mass-e]}}

v_p - Velocity Modulation?v_h - High DC Voltage?[Charge-e] - Charge of electron?[Mass-e] - Mass of electron?

Velocity Modulation of Electrons in Klystron Cavity Example

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Here is how the Velocity Modulation of Electrons in Klystron Cavity equation looks like with Values.

Here is how the Velocity Modulation of Electrons in Klystron Cavity equation looks like with Units.

Here is how the Velocity Modulation of Electrons in Klystron Cavity equation looks like.

1.9E+7 = \sqrt{\frac{2 \cdot 1.6E-19 \cdot 1000}{9.1E-31}}

1.9E+7m/s = \sqrt{\frac{2 \cdot 1.6E-19C \cdot 1000V}{9.1E-31kg}}

1.9E+7 = \sqrt{\frac{2 \cdot 1.6E-19 \cdot 1000}{9.1E-31}}

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Velocity Modulation of Electrons in Klystron Cavity Solution

Follow our step by step solution on how to calculate Velocity Modulation of Electrons in Klystron Cavity?

FIRST Step Consider the formula

v p = \sqrt{\frac{2 \cdot [Charge-e] \cdot v h}{[Mass-e]}}

Next Step Substitute values of Variables

∴

v p = \sqrt{\frac{2 \cdot [Charge-e] \cdot 1000V}{[Mass-e]}}

Next Step Substitute values of Constants

∴

v p = \sqrt{\frac{2 \cdot 1.6E-19C \cdot 1000V}{9.1E-31kg}}

Next Step Prepare to Evaluate

∴

v p = \sqrt{\frac{2 \cdot 1.6E-19 \cdot 1000}{9.1E-31}}

Next Step Evaluate

∴

v p = 18755372.6847744m/s

LAST Step Rounding Answer

∴

v p = 1.9E+7m/s

Velocity Modulation of Electrons in Klystron Cavity Formula Elements

Variables

Constants

Functions

Velocity Modulation

Velocity Modulation takes place near the accelerating grid in the reflex klystron cavity.

Symbol: v_p

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Velocity Modulation

High DC Voltage

High DC Voltage is the amount of voltage supplied to the klystron amplifier to generate the beam of electrons.

Symbol: v_h

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find High DC Voltage

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

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

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other formulas in Klystron Cavity category

Go Induced Current in Catcher Cavity

I 2 = I t0 \cdot β i

Go Buncher Cavity Gap

d = τ \cdot E vo

Go Induced Current in Walls of Catcher Cavity

I 2 = β i \cdot I o

Go Phase Constant of Fundamental Mode Field

β o = \frac{2 \cdot π \cdot M}{L \cdot N}

How to Evaluate Velocity Modulation of Electrons in Klystron Cavity?

Velocity Modulation of Electrons in Klystron Cavity evaluator uses Velocity Modulation = sqrt((2*[Charge-e]*High DC Voltage)/[Mass-e]) to evaluate the Velocity Modulation, The Velocity Modulation of electrons in Klystron Cavity formula is defined as that variation in the velocity of a beam of electrons caused by the alternate speeding up and slowing down of the electrons in the beam. Velocity Modulation is denoted by v_p symbol.

How to evaluate Velocity Modulation of Electrons in Klystron Cavity using this online evaluator? To use this online evaluator for Velocity Modulation of Electrons in Klystron Cavity, enter High DC Voltage (v_h) and hit the calculate button.

FAQs on Velocity Modulation of Electrons in Klystron Cavity

What is the formula to find Velocity Modulation of Electrons in Klystron Cavity?

The formula of Velocity Modulation of Electrons in Klystron Cavity is expressed as Velocity Modulation = sqrt((2*[Charge-e]*High DC Voltage)/[Mass-e]). Here is an example- 1.9E+7 = sqrt((2*[Charge-e]*1000)/[Mass-e]).

How to calculate Velocity Modulation of Electrons in Klystron Cavity?

With High DC Voltage (v_h) we can find Velocity Modulation of Electrons in Klystron Cavity using the formula - Velocity Modulation = sqrt((2*[Charge-e]*High DC Voltage)/[Mass-e]). This formula also uses Charge of electron, Mass of electron constant(s) and Square Root (sqrt) function(s).

Can the Velocity Modulation of Electrons in Klystron Cavity be negative?

No, the Velocity Modulation of Electrons in Klystron Cavity, measured in Speed cannot be negative.

Which unit is used to measure Velocity Modulation of Electrons in Klystron Cavity?

Velocity Modulation of Electrons in Klystron Cavity is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Velocity Modulation of Electrons in Klystron Cavity can be measured.

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