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Bunching Parameter of Klystron Formula

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Bunching parameter as the ratio of the peak electric field to the average electric field at the input cavity of the klystron. Check FAQs

X = \frac{β i \cdot V in \cdot θ o}{2 \cdot V o}

X - Bunching Parameter?β_i - Beam Coupling Coefficient?V_in - Input Signal Amplitude?θ_o - Angular Variation?V_o - Cathode Buncher Voltage?

Bunching Parameter of Klystron Example

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Here is how the Bunching Parameter of Klystron equation looks like with Values.

Here is how the Bunching Parameter of Klystron equation looks like with Units.

Here is how the Bunching Parameter of Klystron equation looks like.

3.0883 = \frac{0.836 \cdot 50 \cdot 12.56}{2 \cdot 85}

3.0883 = \frac{0.836 \cdot 50V \cdot 12.56rad}{2 \cdot 85V}

3.0883 = \frac{0.836 \cdot 50 \cdot 12.56}{2 \cdot 85}

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Bunching Parameter of Klystron Solution

Follow our step by step solution on how to calculate Bunching Parameter of Klystron?

FIRST Step Consider the formula

X = \frac{β i \cdot V in \cdot θ o}{2 \cdot V o}

Next Step Substitute values of Variables

∴

X = \frac{0.836 \cdot 50V \cdot 12.56rad}{2 \cdot 85V}

Next Step Prepare to Evaluate

∴

X = \frac{0.836 \cdot 50 \cdot 12.56}{2 \cdot 85}

Next Step Evaluate

∴

X = 3.08828235294118

LAST Step Rounding Answer

∴

X = 3.0883

Bunching Parameter of Klystron Formula Elements

Variables

Bunching Parameter

Bunching parameter as the ratio of the peak electric field to the average electric field at the input cavity of the klystron.

Symbol: X

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Bunching Parameter

Beam Coupling Coefficient

Beam Coupling Coefficient is a measure of the interaction between an electron beam and an electromagnetic wave in a resonant cavity.

Symbol: β_i

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Beam Coupling Coefficient

Input Signal Amplitude

Input Signal Amplitude is the maximum amplitude or peak value of the input signal, which is usually a sinusoidal signal, and is measured in units of volts or decibels relative to a reference level.

Symbol: V_in

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Input Signal Amplitude

Angular Variation

Angular Variation refers to the change in some physical property of a system as the angle of observation or measurement is changed.

Symbol: θ_o

Measurement: AngleUnit: rad

Note: Value should be greater than 0.

Formulas to find Angular Variation

Cathode Buncher Voltage

Cathode Buncher Voltage is the voltage applied to the cathode of a klystron tube to produce a bunched electron beam that interacts with the resonant cavity of the klystron to produce microwave power.

Symbol: V_o

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Cathode Buncher Voltage

Other formulas in Klystron category

Go Beam Loading Conductance

G b = G - (G L + G cu)

Go Copper Loss of Cavity

G cu = G - (G b + G L)

Go Cavity Conductance

G = G L + G cu + G b

Go Klystron Efficiency

η k = (β 0 \cdot JX) \cdot (\frac{V 2}{V o})

How to Evaluate Bunching Parameter of Klystron?

Bunching Parameter of Klystron evaluator uses Bunching Parameter = (Beam Coupling Coefficient*Input Signal Amplitude*Angular Variation)/(2*Cathode Buncher Voltage) to evaluate the Bunching Parameter, The Bunching Parameter of Klystron formula is defined as the ratio of the length of the electron bunch to the period of the RF signal. It is a is a dimensionless quantity that describes the degree of electron bunching in the input cavity of a klystron. Bunching Parameter is denoted by X symbol.

How to evaluate Bunching Parameter of Klystron using this online evaluator? To use this online evaluator for Bunching Parameter of Klystron, enter Beam Coupling Coefficient (β_i), Input Signal Amplitude (V_in), Angular Variation (θ_o) & Cathode Buncher Voltage (V_o) and hit the calculate button.

FAQs on Bunching Parameter of Klystron

What is the formula to find Bunching Parameter of Klystron?

The formula of Bunching Parameter of Klystron is expressed as Bunching Parameter = (Beam Coupling Coefficient*Input Signal Amplitude*Angular Variation)/(2*Cathode Buncher Voltage). Here is an example- 3.088282 = (0.836*50*12.56)/(2*85).

How to calculate Bunching Parameter of Klystron?

With Beam Coupling Coefficient (β_i), Input Signal Amplitude (V_in), Angular Variation (θ_o) & Cathode Buncher Voltage (V_o) we can find Bunching Parameter of Klystron using the formula - Bunching Parameter = (Beam Coupling Coefficient*Input Signal Amplitude*Angular Variation)/(2*Cathode Buncher Voltage).

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Bunching Parameter of Klystron Formula

Bunching Parameter of Klystron Example

Bunching Parameter of Klystron Solution

Bunching Parameter of Klystron Formula Elements

Other formulas in Klystron category

How to Evaluate Bunching Parameter of Klystron?

FAQs on Bunching Parameter of Klystron

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