Phase Constant of Fundamental Mode Field Calculator

✖Number of Oscillation refers to the occurrence of the oscillation.ⓘ Number of Oscillation [M]			+10% -10%
✖Mean distance between the cavities is defined as the average distance between the cavity of the resonator.ⓘ Mean Distance Between the Cavities [L]			+10% -10%
✖Number of resonant cavities is defined as structure that supports standing waves at particular resonant frequencies, and can be used in various electromagnetic devices.ⓘ Number of Resonant Cavities [N]			+10% -10%

✖Phase Constant for N-cavities is the constant phase in total present.ⓘ Phase Constant of Fundamental Mode Field [β_o]

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Phase Constant of Fundamental Mode Field Solution

STEP 0: Pre-Calculation Summary

Formula Used

Phase Constant for N-cavities = (2*pi*Number of Oscillation)/(Mean Distance Between the Cavities*Number of Resonant Cavities)
β_o = (2*pi*M)/(L*N)
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Phase Constant for N-cavities - Phase Constant for N-cavities is the constant phase in total present.
Number of Oscillation - Number of Oscillation refers to the occurrence of the oscillation.
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 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
Mean Distance Between the Cavities: 261.7 Millimeter --> 0.2617 Meter (Check conversion here)
Number of Resonant Cavities: 16 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

β_o = (2*pi*M)/(L*N) --> (2*pi*4)/(0.2617*16)

Evaluating ... ...

β_o = 6.00227866562819

STEP 3: Convert Result to Output's Unit

6.00227866562819 --> No Conversion Required

FINAL ANSWER

6.00227866562819 ≈ 6.002279 <-- Phase Constant for N-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)

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Induced Current in Walls of Catcher Cavity

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Phase Constant of Fundamental Mode Field Formula

LaTeX Go

Phase Constant for N-cavities = (2*pi*Number of Oscillation)/(Mean Distance Between the Cavities*Number of Resonant Cavities)
β_o = (2*pi*M)/(L*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 Phase Constant of Fundamental Mode Field?

Phase Constant of Fundamental Mode Field calculator uses Phase Constant for N-cavities = (2*pi*Number of Oscillation)/(Mean Distance Between the Cavities*Number of Resonant Cavities) to calculate the Phase Constant for N-cavities, Phase Constant of Fundamental Mode Field refers to the phase shift experienced by the electric field of the mode as it propagates through a transmission line or waveguide. Phase Constant for N-cavities is denoted by β_o symbol.

How to calculate Phase Constant of Fundamental Mode Field using this online calculator? To use this online calculator for Phase Constant of Fundamental Mode Field, enter Number of Oscillation (M), Mean Distance Between the Cavities (L) & Number of Resonant Cavities (N) and hit the calculate button. Here is how the Phase Constant of Fundamental Mode Field calculation can be explained with given input values -> 6.002279 = (2*pi*4)/(0.2617*16).

FAQ

What is Phase Constant of Fundamental Mode Field?

Phase Constant of Fundamental Mode Field refers to the phase shift experienced by the electric field of the mode as it propagates through a transmission line or waveguide and is represented as β_o = (2*pi*M)/(L*N) or Phase Constant for N-cavities = (2*pi*Number of Oscillation)/(Mean Distance Between the Cavities*Number of Resonant Cavities). Number of Oscillation refers to the occurrence of the oscillation, Mean distance between the cavities is defined as the average distance between the cavity of the resonator & 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 Phase Constant of Fundamental Mode Field?

Phase Constant of Fundamental Mode Field refers to the phase shift experienced by the electric field of the mode as it propagates through a transmission line or waveguide is calculated using Phase Constant for N-cavities = (2*pi*Number of Oscillation)/(Mean Distance Between the Cavities*Number of Resonant Cavities). To calculate Phase Constant of Fundamental Mode Field, you need Number of Oscillation (M), Mean Distance Between the Cavities (L) & Number of Resonant Cavities (N). With our tool, you need to enter the respective value for Number of Oscillation, Mean Distance Between the 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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