Induced Current in Walls of Catcher Cavity Calculator

✖Beam Coupling Coefficient is a measure of the interaction between an electron beam and an electromagnetic wave in a resonant cavity.ⓘ Beam Coupling Coefficient [β_i]			+10% -10%
✖Direct Current refers to the current which is unidirectional and has constant magnitude.ⓘ Direct Current [I_o]			+10% -10%

✖Induced Catcher current in the walls of catcher cavity is the induced form current in catcher's cavity.ⓘ Induced Current in Walls of Catcher Cavity [I₂]

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Formula

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Induced Current in Walls of Catcher Cavity

Formula

`"I"_{"2"} = "β"_{"i"}*"I"_{"o"}`

Example

`"10.7008A"="0.836"*"12.80A"`

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Induced Current in Walls of Catcher Cavity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Induced Catcher Current = Beam Coupling Coefficient*Direct Current
I₂ = β_i*I_o
This formula uses 3 Variables

Variables Used

Induced Catcher Current - (Measured in Ampere) - Induced Catcher current in the walls of catcher cavity is the induced form current in catcher's cavity.
Beam Coupling Coefficient - Beam Coupling Coefficient is a measure of the interaction between an electron beam and an electromagnetic wave in a resonant cavity.
Direct Current - (Measured in Ampere) - Direct Current refers to the current which is unidirectional and has constant magnitude.

STEP 1: Convert Input(s) to Base Unit

Beam Coupling Coefficient: 0.836 --> No Conversion Required
Direct Current: 12.8 Ampere --> 12.8 Ampere No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I₂ = β_i*I_o --> 0.836*12.8

Evaluating ... ...

I₂ = 10.7008

STEP 3: Convert Result to Output's Unit

10.7008 Ampere --> No Conversion Required

FINAL ANSWER

10.7008 Ampere <-- Induced Catcher Current

(Calculation completed in 00.020 seconds)

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Created by Shobhit Dimri

Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

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< 14 Klystron Cavity Calculators

Average Microwave Voltage in Buncher Gap

Go Average Microwave Voltage = Input Signal Amplitude*Beam Coupling Coefficient*sin(Angular Frequency*Entering Time+(Average Transient Angle/2))

Maximum Input Voltage in Two Cavity Klystron

Go Maximum Input Voltage in Two Cavity Klystron = (2*Reflex Klystron Voltage*Bunching Parameter)/(Beam Coupling Coefficient*Average Transient Angle)

Phase Constant of Fundamental Mode Field

Go Phase Constant for N-cavities = (2*pi*Number of Oscillation)/(Mean Distance Between the Cavities*Number of Resonant Cavities)

Average Distance between Cavities

Go Mean Distance Between the Cavities = (2*pi*Number of Oscillation)/(Phase Constant for N-cavities*Number of Resonant Cavities)

Magnitude of Microwave Signal at Input Cavity

Go Magnitude of Microwave Signal = (2*Cathode Buncher Voltage*Bunching Parameter)/(Beam Coupling Coefficient*Angular Variation)

Velocity Modulation of Electrons in Klystron Cavity

Go Velocity Modulation = sqrt((2*[Charge-e]*High DC Voltage)/[Mass-e])

Beam Coupling Coefficient in Two Cavity Klystron

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

Conductance of Resonator

Go Conductance of Cavity = (Capacitance at Vane Tips*Angular Frequency)/Unloaded Q-factor

Number of Resonant Cavities

Go Number of Resonant Cavities = (2*pi*Number of Oscillation)/Phase Shift in Magnetron

Induced Current in Catcher Cavity

Go Induced Catcher Current = Current Arriving at Catcher Cavity Gap*Beam Coupling Coefficient

Buncher Cavity Gap

Go Buncher Cavity Gap = Average Transit Time*Electron Uniform Velocity

Induced Current in Walls of Catcher Cavity

Go Induced Catcher Current = Beam Coupling Coefficient*Direct Current

Average Transit Angle

Go Average Transient Angle = Angular Frequency*Average Transit Time

Average Transit Time

Go Average Transit Time = Buncher Cavity Gap/Velocity Modulation

Induced Current in Walls of Catcher Cavity Formula

Induced Catcher Current = Beam Coupling Coefficient*Direct Current
I₂ = β_i*I_o

What is Klystron?

Klystrons are high power microwave vacuum tubes. They are velocity-modulated tubes that are used in radars as amplifiers or oscillators. A klystron uses the kinetic energy of an electron beam for the amplification of a high-frequency signal.

How to Calculate Induced Current in Walls of Catcher Cavity?

Induced Current in Walls of Catcher Cavity calculator uses Induced Catcher Current = Beam Coupling Coefficient*Direct Current to calculate the Induced Catcher Current, The Induced Current in Walls of Catcher Cavity formula is defined as Current produce in a conductor due to change in magnetic flux through the region. Induced Catcher Current is denoted by I₂ symbol.

How to calculate Induced Current in Walls of Catcher Cavity using this online calculator? To use this online calculator for Induced Current in Walls of Catcher Cavity, enter Beam Coupling Coefficient (β_i) & Direct Current (I_o) and hit the calculate button. Here is how the Induced Current in Walls of Catcher Cavity calculation can be explained with given input values -> 10.7008 = 0.836*12.8.

FAQ

What is Induced Current in Walls of Catcher Cavity?

The Induced Current in Walls of Catcher Cavity formula is defined as Current produce in a conductor due to change in magnetic flux through the region and is represented as I₂ = β_i*I_o or Induced Catcher Current = Beam Coupling Coefficient*Direct Current. Beam Coupling Coefficient is a measure of the interaction between an electron beam and an electromagnetic wave in a resonant cavity & Direct Current refers to the current which is unidirectional and has constant magnitude.

How to calculate Induced Current in Walls of Catcher Cavity?

The Induced Current in Walls of Catcher Cavity formula is defined as Current produce in a conductor due to change in magnetic flux through the region is calculated using Induced Catcher Current = Beam Coupling Coefficient*Direct Current. To calculate Induced Current in Walls of Catcher Cavity, you need Beam Coupling Coefficient (β_i) & Direct Current (I_o). With our tool, you need to enter the respective value for Beam Coupling Coefficient & Direct Current and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Induced Catcher Current?

In this formula, Induced Catcher Current uses Beam Coupling Coefficient & Direct Current. We can use 1 other way(s) to calculate the same, which is/are as follows -

Induced Catcher Current = Current Arriving at Catcher Cavity Gap*Beam Coupling Coefficient

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