Beam Coupling Coefficient in Two Cavity Klystron Calculator

✖Average transient angle is Stability of Paralleled Synchronous and Virtual Synchronous Generators in Islanded Microgrids.ⓘ Average Transient Angle [θ_g]

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✖Beam Coupling Coefficient is a measure of the interaction between an electron beam and an electromagnetic wave in a resonant cavity.ⓘ Beam Coupling Coefficient in Two Cavity Klystron [β_i]

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Beam Coupling Coefficient in Two Cavity Klystron Solution

STEP 0: Pre-Calculation Summary

Formula Used

Beam Coupling Coefficient = sin(Average Transient Angle/2)/(Average Transient Angle/2)
β_i = sin(θ_g/2)/(θ_g/2)
This formula uses 1 Functions, 2 Variables

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)

Variables Used

Beam Coupling Coefficient - Beam Coupling Coefficient is a measure of the interaction between an electron beam and an electromagnetic wave in a resonant cavity.
Average Transient Angle - (Measured in Radian) - Average transient angle is Stability of Paralleled Synchronous and Virtual Synchronous Generators in Islanded Microgrids.

STEP 1: Convert Input(s) to Base Unit

Average Transient Angle: 30.38 Radian --> 30.38 Radian No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

β_i = sin(θ_g/2)/(θ_g/2) --> sin(30.38/2)/(30.38/2)

Evaluating ... ...

β_i = 0.0325945749394359

STEP 3: Convert Result to Output's Unit

0.0325945749394359 --> No Conversion Required

FINAL ANSWER

0.0325945749394359 ≈ 0.032595 <-- Beam Coupling Coefficient

(Calculation completed in 00.004 seconds)

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Beam Coupling Coefficient in Two Cavity Klystron Formula

LaTeX Go

Beam Coupling Coefficient = sin(Average Transient Angle/2)/(Average Transient Angle/2)
β_i = sin(θ_g/2)/(θ_g/2)

What is the concept of velocity modulation?

Velocity modulation is then 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.

How to Calculate Beam Coupling Coefficient in Two Cavity Klystron?

Beam Coupling Coefficient in Two Cavity Klystron calculator uses Beam Coupling Coefficient = sin(Average Transient Angle/2)/(Average Transient Angle/2) to calculate the Beam Coupling Coefficient, The Beam Coupling Coefficient in Two Cavity Klystron formula is defined as the degree to which the electrons undergo the process of velocity modulation. It is quite similar to the modulation index which determines the degree to which the carrier is modulated with respect to the message signal. Beam Coupling Coefficient is denoted by β_i symbol.

How to calculate Beam Coupling Coefficient in Two Cavity Klystron using this online calculator? To use this online calculator for Beam Coupling Coefficient in Two Cavity Klystron, enter Average Transient Angle (θ_g) and hit the calculate button. Here is how the Beam Coupling Coefficient in Two Cavity Klystron calculation can be explained with given input values -> 0.032595 = sin(30.38/2)/(30.38/2).

FAQ

What is Beam Coupling Coefficient in Two Cavity Klystron?

The Beam Coupling Coefficient in Two Cavity Klystron formula is defined as the degree to which the electrons undergo the process of velocity modulation. It is quite similar to the modulation index which determines the degree to which the carrier is modulated with respect to the message signal and is represented as β_i = sin(θ_g/2)/(θ_g/2) or Beam Coupling Coefficient = sin(Average Transient Angle/2)/(Average Transient Angle/2). Average transient angle is Stability of Paralleled Synchronous and Virtual Synchronous Generators in Islanded Microgrids.

How to calculate Beam Coupling Coefficient in Two Cavity Klystron?

The Beam Coupling Coefficient in Two Cavity Klystron formula is defined as the degree to which the electrons undergo the process of velocity modulation. It is quite similar to the modulation index which determines the degree to which the carrier is modulated with respect to the message signal is calculated using Beam Coupling Coefficient = sin(Average Transient Angle/2)/(Average Transient Angle/2). To calculate Beam Coupling Coefficient in Two Cavity Klystron, you need Average Transient Angle (θ_g). With our tool, you need to enter the respective value for Average Transient Angle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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