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Phase Constant of Fundamental Mode Field Formula

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Phase Constant for N-cavities is the constant phase in total present. Check FAQs

β o = \frac{2 \cdot π \cdot M}{L \cdot N}

β_o - Phase Constant for N-cavities?M - Number of Oscillation?L - Mean Distance Between the Cavities?N - Number of Resonant Cavities?π - Archimedes' constant?

Phase Constant of Fundamental Mode Field Example

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Here is how the Phase Constant of Fundamental Mode Field equation looks like with Values.

Here is how the Phase Constant of Fundamental Mode Field equation looks like with Units.

Here is how the Phase Constant of Fundamental Mode Field equation looks like.

6.0023 = \frac{2 \cdot 3.1416 \cdot 4}{261.7 \cdot 16}

6.0023 = \frac{2 \cdot 3.1416 \cdot 4}{261.7mm \cdot 16}

6.0023 = \frac{2 \cdot 3.1416 \cdot 4}{261.7 \cdot 16}

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Phase Constant of Fundamental Mode Field Solution

Follow our step by step solution on how to calculate Phase Constant of Fundamental Mode Field?

FIRST Step Consider the formula

β o = \frac{2 \cdot π \cdot M}{L \cdot N}

Next Step Substitute values of Variables

∴

β o = \frac{2 \cdot π \cdot 4}{261.7mm \cdot 16}

Next Step Substitute values of Constants

∴

β o = \frac{2 \cdot 3.1416 \cdot 4}{261.7mm \cdot 16}

Next Step Convert Units

∴

β o = \frac{2 \cdot 3.1416 \cdot 4}{0.2617m \cdot 16}

Next Step Prepare to Evaluate

∴

β o = \frac{2 \cdot 3.1416 \cdot 4}{0.2617 \cdot 16}

Next Step Evaluate

∴

β o = 6.00227866562819

LAST Step Rounding Answer

∴

β o = 6.0023

Phase Constant of Fundamental Mode Field Formula Elements

Variables

Constants

Phase Constant for N-cavities

Phase Constant for N-cavities is the constant phase in total present.

Symbol: β_o

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Phase Constant for N-cavities

Number of Oscillation

Number of Oscillation refers to the occurrence of the oscillation.

Symbol: M

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Oscillation

Mean Distance Between the Cavities

Mean distance between the cavities is defined as the average distance between the cavity of the resonator.

Symbol: L

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Mean Distance Between the Cavities

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.

Symbol: N

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Number of Resonant Cavities

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other formulas in Klystron Cavity category

Go Induced Current in Catcher Cavity

I 2 = I t0 \cdot β i

Go Buncher Cavity Gap

d = τ \cdot E vo

Go Induced Current in Walls of Catcher Cavity

I 2 = β i \cdot I o

Go Number of Resonant Cavities

N = \frac{2 \cdot π \cdot M}{Φ n}

How to Evaluate Phase Constant of Fundamental Mode Field?

Phase Constant of Fundamental Mode Field evaluator uses Phase Constant for N-cavities = (2*pi*Number of Oscillation)/(Mean Distance Between the Cavities*Number of Resonant Cavities) to evaluate 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 evaluate Phase Constant of Fundamental Mode Field using this online evaluator? To use this online evaluator 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.

FAQs on Phase Constant of Fundamental Mode Field

What is the formula to find Phase Constant of Fundamental Mode Field?

The formula of Phase Constant of Fundamental Mode Field is expressed as Phase Constant for N-cavities = (2*pi*Number of Oscillation)/(Mean Distance Between the Cavities*Number of Resonant Cavities). Here is an example- 6.002279 = (2*pi*4)/(0.2617*16).

How to calculate Phase Constant of Fundamental Mode Field?

With Number of Oscillation (M), Mean Distance Between the Cavities (L) & Number of Resonant Cavities (N) we can find Phase Constant of Fundamental Mode Field using the formula - Phase Constant for N-cavities = (2*pi*Number of Oscillation)/(Mean Distance Between the Cavities*Number of Resonant Cavities). This formula also uses Archimedes' constant .

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Phase Constant of Fundamental Mode Field Formula

Phase Constant of Fundamental Mode Field Example

Phase Constant of Fundamental Mode Field Solution

Phase Constant of Fundamental Mode Field Formula Elements

Other formulas in Klystron Cavity category

How to Evaluate Phase Constant of Fundamental Mode Field?

FAQs on Phase Constant of Fundamental Mode Field

Variable Name