Induced Current in Catcher Cavity Calculator

✖Current Arriving at Catcher Cavity Gap is the total current arriving.ⓘ Current Arriving at Catcher Cavity Gap [I_t0]			+10% -10%
✖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%

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

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Formula

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Induced Current in Catcher Cavity

Formula

`"I"_{"2"} = "I"_{"t0"}*"β"_{"i"}`

Example

`"1.7765A"="2.125A"*"0.836"`

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Induced Current in Catcher Cavity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Induced Catcher Current = Current Arriving at Catcher Cavity Gap*Beam Coupling Coefficient
I₂ = I_t0*β_i
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.
Current Arriving at Catcher Cavity Gap - (Measured in Ampere) - Current Arriving at Catcher Cavity Gap is the total current arriving.
Beam Coupling Coefficient - Beam Coupling Coefficient is a measure of the interaction between an electron beam and an electromagnetic wave in a resonant cavity.

STEP 1: Convert Input(s) to Base Unit

Current Arriving at Catcher Cavity Gap: 2.125 Ampere --> 2.125 Ampere No Conversion Required
Beam Coupling Coefficient: 0.836 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I₂ = I_t0*β_i --> 2.125*0.836

Evaluating ... ...

I₂ = 1.7765

STEP 3: Convert Result to Output's Unit

1.7765 Ampere --> No Conversion Required

FINAL ANSWER

1.7765 Ampere <-- Induced Catcher Current

(Calculation completed in 00.004 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 Catcher Cavity Formula

Induced Catcher Current = Current Arriving at Catcher Cavity Gap*Beam Coupling Coefficient
I₂ = I_t0*β_i

What is Catcher Cavity?

Resonators the buncher and the catcher, which serve as reservoirs of electromagnetic oscillations is the accelerating potential and is commonly referred to as the beam voltage. This voltage accelerates the DC electron beam to a high velocity before injecting it into the grids of the buncher cavity.

How to Calculate Induced Current in Catcher Cavity?

Induced Current in Catcher Cavity calculator uses Induced Catcher Current = Current Arriving at Catcher Cavity Gap*Beam Coupling Coefficient to calculate the Induced Catcher Current, The Induced Current in 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 Catcher Cavity using this online calculator? To use this online calculator for Induced Current in Catcher Cavity, enter Current Arriving at Catcher Cavity Gap (I_t0) & Beam Coupling Coefficient (β_i) and hit the calculate button. Here is how the Induced Current in Catcher Cavity calculation can be explained with given input values -> 1.7765 = 2.125*0.836.

FAQ

What is Induced Current in Catcher Cavity?

The Induced Current in 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 = I_t0*β_i or Induced Catcher Current = Current Arriving at Catcher Cavity Gap*Beam Coupling Coefficient. Current Arriving at Catcher Cavity Gap is the total current arriving & Beam Coupling Coefficient is a measure of the interaction between an electron beam and an electromagnetic wave in a resonant cavity.

How to calculate Induced Current in Catcher Cavity?

The Induced Current in 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 = Current Arriving at Catcher Cavity Gap*Beam Coupling Coefficient. To calculate Induced Current in Catcher Cavity, you need Current Arriving at Catcher Cavity Gap (I_t0) & Beam Coupling Coefficient (β_i). With our tool, you need to enter the respective value for Current Arriving at Catcher Cavity Gap & Beam Coupling Coefficient 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 Current Arriving at Catcher Cavity Gap & Beam Coupling Coefficient. We can use 1 other way(s) to calculate the same, which is/are as follows -

Induced Catcher Current = Beam Coupling Coefficient*Direct Current

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