Average Distance between Cavities Solution

STEP 0: Pre-Calculation Summary
Formula Used
Mean Distance Between the Cavities = (2*pi*Number of Oscillation)/(Phase Constant for N-cavities*Number of Resonant Cavities)
L = (2*pi*M)/(βo*N)
This formula uses 1 Constants, 4 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Mean Distance Between the Cavities - (Measured in Meter) - Mean distance between the cavities is defined as the average distance between the cavity of the resonator.
Number of Oscillation - Number of Oscillation refers to the occurrence of the oscillation.
Phase Constant for N-cavities - Phase Constant for N-cavities is the constant phase in total present.
Number of Resonant Cavities - Number of resonant cavities is defined as structure that supports standing waves at particular resonant frequencies, and can be used in various electromagnetic devices.
STEP 1: Convert Input(s) to Base Unit
Number of Oscillation: 4 --> No Conversion Required
Phase Constant for N-cavities: 6 --> No Conversion Required
Number of Resonant Cavities: 16 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
L = (2*pi*M)/(βo*N) --> (2*pi*4)/(6*16)
Evaluating ... ...
L = 0.261799387799149
STEP 3: Convert Result to Output's Unit
0.261799387799149 Meter -->261.799387799149 Millimeter (Check conversion ​here)
FINAL ANSWER
261.799387799149 261.7994 Millimeter <-- Mean Distance Between the Cavities
(Calculation completed in 00.004 seconds)

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Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat
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Klystron Cavity Calculators

Phase Constant of Fundamental Mode Field
​ LaTeX ​ Go Phase Constant for N-cavities = (2*pi*Number of Oscillation)/(Mean Distance Between the Cavities*Number of Resonant Cavities)
Induced Current in Catcher Cavity
​ LaTeX ​ Go Induced Catcher Current = Current Arriving at Catcher Cavity Gap*Beam Coupling Coefficient
Buncher Cavity Gap
​ LaTeX ​ Go Buncher Cavity Gap = Average Transit Time*Electron Uniform Velocity
Induced Current in Walls of Catcher Cavity
​ LaTeX ​ Go Induced Catcher Current = Beam Coupling Coefficient*Direct Current

Average Distance between Cavities Formula

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

What is Resonant Cavity?

A conducting surface enclosing a space in which an oscillating electromagnetic field can be maintained, the dimensions of the cavity determine the resonant frequency of the oscillation.

How to Calculate Average Distance between Cavities?

Average Distance between Cavities calculator uses Mean Distance Between the Cavities = (2*pi*Number of Oscillation)/(Phase Constant for N-cavities*Number of Resonant Cavities) to calculate the Mean Distance Between the Cavities, The Average Distance between Cavities formula is defined as the average distance between the cavity of the resonator. Mean Distance Between the Cavities is denoted by L symbol.

How to calculate Average Distance between Cavities using this online calculator? To use this online calculator for Average Distance between Cavities, enter Number of Oscillation (M), Phase Constant for N-cavities o) & Number of Resonant Cavities (N) and hit the calculate button. Here is how the Average Distance between Cavities calculation can be explained with given input values -> 261799.4 = (2*pi*4)/(6*16).

FAQ

What is Average Distance between Cavities?
The Average Distance between Cavities formula is defined as the average distance between the cavity of the resonator and is represented as L = (2*pi*M)/(βo*N) or Mean Distance Between the Cavities = (2*pi*Number of Oscillation)/(Phase Constant for N-cavities*Number of Resonant Cavities). Number of Oscillation refers to the occurrence of the oscillation, Phase Constant for N-cavities is the constant phase in total present & Number of resonant cavities is defined as structure that supports standing waves at particular resonant frequencies, and can be used in various electromagnetic devices.
How to calculate Average Distance between Cavities?
The Average Distance between Cavities formula is defined as the average distance between the cavity of the resonator is calculated using Mean Distance Between the Cavities = (2*pi*Number of Oscillation)/(Phase Constant for N-cavities*Number of Resonant Cavities). To calculate Average Distance between Cavities, you need Number of Oscillation (M), Phase Constant for N-cavities o) & Number of Resonant Cavities (N). With our tool, you need to enter the respective value for Number of Oscillation, Phase Constant for N-cavities & Number of Resonant Cavities 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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