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Klystron Efficiency Formula

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Klystron Efficiency is the work performed by a machine or in a process to the total energy expended or heat taken in. Check FAQs

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

η_k - Klystron Efficiency?β₀ - Beam Complex Coefficient?JX - First Order Bessel Function?V₂ - Catcher Gap Voltage?V_o - Cathode Buncher Voltage?

Klystron Efficiency Example

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Here is how the Klystron Efficiency equation looks like with Values.

Here is how the Klystron Efficiency equation looks like with Units.

Here is how the Klystron Efficiency equation looks like.

0.4546 = (0.653 \cdot 0.538) \cdot (\frac{110}{85})

0.4546 = (0.653 \cdot 0.538) \cdot (\frac{110V}{85V})

0.4546 = (0.653 \cdot 0.538) \cdot (\frac{110}{85})

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Klystron Efficiency Solution

Follow our step by step solution on how to calculate Klystron Efficiency?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

η k = (0.653 \cdot 0.538) \cdot (\frac{110V}{85V})

Next Step Prepare to Evaluate

∴

η k = (0.653 \cdot 0.538) \cdot (\frac{110}{85})

Next Step Evaluate

∴

η k = 0.454641647058824

LAST Step Rounding Answer

∴

η k = 0.4546

Klystron Efficiency Formula Elements

Variables

Klystron Efficiency

Klystron Efficiency is the work performed by a machine or in a process to the total energy expended or heat taken in.

Symbol: η_k

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Klystron Efficiency

Beam Complex Coefficient

The Beam Complex coefficient describes the degree to which the electrons undergo the process of velocity modulation.

Symbol: β₀

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Beam Complex Coefficient

First Order Bessel Function

First Order Bessel Function has zeros at certain values of x, known as the Bessel zeros, which have important applications in signal processing and antenna theory.

Symbol: JX

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find First Order Bessel Function

Catcher Gap Voltage

Catcher Gap Voltage is the voltage in the gap between two electrodes.

Symbol: V₂

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Catcher Gap Voltage

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 Bunching Parameter of Klystron

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

How to Evaluate Klystron Efficiency?

Klystron Efficiency evaluator uses Klystron Efficiency = (Beam Complex Coefficient*First Order Bessel Function)*(Catcher Gap Voltage/Cathode Buncher Voltage) to evaluate the Klystron Efficiency, Klystron efficiency is a measure of how effectively a klystron tube converts input power into output power, particularly at the desired radiofrequency (RF).Klystrons are often designed to achieve high efficiency to meet the demands of various applications. Klystron Efficiency is denoted by η_k symbol.

How to evaluate Klystron Efficiency using this online evaluator? To use this online evaluator for Klystron Efficiency, enter Beam Complex Coefficient (β₀), First Order Bessel Function (JX), Catcher Gap Voltage (V₂) & Cathode Buncher Voltage (V_o) and hit the calculate button.

FAQs on Klystron Efficiency

What is the formula to find Klystron Efficiency?

The formula of Klystron Efficiency is expressed as Klystron Efficiency = (Beam Complex Coefficient*First Order Bessel Function)*(Catcher Gap Voltage/Cathode Buncher Voltage). Here is an example- 0.454642 = (0.653*0.538)*(110/85).

How to calculate Klystron Efficiency?

With Beam Complex Coefficient (β₀), First Order Bessel Function (JX), Catcher Gap Voltage (V₂) & Cathode Buncher Voltage (V_o) we can find Klystron Efficiency using the formula - Klystron Efficiency = (Beam Complex Coefficient*First Order Bessel Function)*(Catcher Gap Voltage/Cathode Buncher Voltage).

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Klystron Efficiency Formula

Klystron Efficiency Example

Klystron Efficiency Solution

Klystron Efficiency Formula Elements

Other formulas in Klystron category

How to Evaluate Klystron Efficiency?

FAQs on Klystron Efficiency

Variable Name