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Average Distance between Cavities Formula

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

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

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

Average Distance between Cavities Example

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Here is how the Average Distance between Cavities equation looks like with Values.

Here is how the Average Distance between Cavities equation looks like with Units.

Here is how the Average Distance between Cavities equation looks like.

261.7994 = \frac{2 \cdot 3.1416 \cdot 4}{6 \cdot 16}

261.7994mm = \frac{2 \cdot 3.1416 \cdot 4}{6 \cdot 16}

261.7994 = \frac{2 \cdot 3.1416 \cdot 4}{6 \cdot 16}

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Average Distance between Cavities Solution

Follow our step by step solution on how to calculate Average Distance between Cavities?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

L = \frac{2 \cdot π \cdot 4}{6 \cdot 16}

Next Step Substitute values of Constants

∴

L = \frac{2 \cdot 3.1416 \cdot 4}{6 \cdot 16}

Next Step Prepare to Evaluate

∴

L = \frac{2 \cdot 3.1416 \cdot 4}{6 \cdot 16}

Next Step Evaluate

∴

L = 0.261799387799149m

Next Step Convert to Output's Unit

∴

L = 261.799387799149mm

LAST Step Rounding Answer

∴

L = 261.7994mm

Average Distance between Cavities Formula Elements

Variables

Constants

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 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

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 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 Phase Constant of Fundamental Mode Field

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

How to Evaluate Average Distance between Cavities?

Average Distance between Cavities evaluator uses Mean Distance Between the Cavities = (2*pi*Number of Oscillation)/(Phase Constant for N-cavities*Number of Resonant Cavities) to evaluate 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 evaluate Average Distance between Cavities using this online evaluator? To use this online evaluator for Average Distance between Cavities, enter Number of Oscillation (M), Phase Constant for N-cavities (β_o) & Number of Resonant Cavities (N) and hit the calculate button.

FAQs on Average Distance between Cavities

What is the formula to find Average Distance between Cavities?

The formula of Average Distance between Cavities is expressed as Mean Distance Between the Cavities = (2*pi*Number of Oscillation)/(Phase Constant for N-cavities*Number of Resonant Cavities). Here is an example- 261799.4 = (2*pi*4)/(6*16).

How to calculate Average Distance between Cavities?

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

Can the Average Distance between Cavities be negative?

No, the Average Distance between Cavities, measured in Length cannot be negative.

Which unit is used to measure Average Distance between Cavities?

Average Distance between Cavities is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Average Distance between Cavities can be measured.

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Average Distance between Cavities Formula

Average Distance between Cavities Example

Average Distance between Cavities Solution

Average Distance between Cavities Formula Elements

Other formulas in Klystron Cavity category

How to Evaluate Average Distance between Cavities?

FAQs on Average Distance between Cavities

Variable Name