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Number of Resonant Cavities Formula

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Number of resonant cavities is defined as structure that supports standing waves at particular resonant frequencies, and can be used in various electromagnetic devices. Check FAQs

N = \frac{2 \cdot π \cdot M}{Φ n}

N - Number of Resonant Cavities?M - Number of Oscillation?Φ_n - Phase Shift in Magnetron?π - Archimedes' constant?

Number of Resonant Cavities Example

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Here is how the Number of Resonant Cavities equation looks like with Values.

Here is how the Number of Resonant Cavities equation looks like with Units.

Here is how the Number of Resonant Cavities equation looks like.

16 = \frac{2 \cdot 3.1416 \cdot 4}{90}

16 = \frac{2 \cdot 3.1416 \cdot 4}{90°}

16 = \frac{2 \cdot 3.1416 \cdot 4}{90}

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Number of Resonant Cavities Solution

Follow our step by step solution on how to calculate Number of Resonant Cavities?

FIRST Step Consider the formula

N = \frac{2 \cdot π \cdot M}{Φ n}

Next Step Substitute values of Variables

∴

N = \frac{2 \cdot π \cdot 4}{90°}

Next Step Substitute values of Constants

∴

N = \frac{2 \cdot 3.1416 \cdot 4}{90°}

Next Step Convert Units

∴

N = \frac{2 \cdot 3.1416 \cdot 4}{1.5708rad}

Next Step Prepare to Evaluate

∴

N = \frac{2 \cdot 3.1416 \cdot 4}{1.5708}

Next Step Evaluate

∴

N = 16.000000000003

LAST Step Rounding Answer

∴

N = 16

Number of Resonant Cavities Formula Elements

Variables

Constants

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

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 Shift in Magnetron

Phase Shift in Magnetron occurs due to the interaction between the electrons and the alternating electromagnetic field in the resonant cavity.

Symbol: Φ_n

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Phase Shift in Magnetron

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 Number of Resonant Cavities?

Number of Resonant Cavities evaluator uses Number of Resonant Cavities = (2*pi*Number of Oscillation)/Phase Shift in Magnetron to evaluate the Number of Resonant Cavities, The Number of Resonant Cavities formula is defined as a structure that supports standing waves at particular resonant frequencies, and can be used in various electromagnetic devices, such as filters, amplifiers, and oscillators. Number of Resonant Cavities is denoted by N symbol.

How to evaluate Number of Resonant Cavities using this online evaluator? To use this online evaluator for Number of Resonant Cavities, enter Number of Oscillation (M) & Phase Shift in Magnetron (Φ_n) and hit the calculate button.

FAQs on Number of Resonant Cavities

What is the formula to find Number of Resonant Cavities?

The formula of Number of Resonant Cavities is expressed as Number of Resonant Cavities = (2*pi*Number of Oscillation)/Phase Shift in Magnetron. Here is an example- 16 = (2*pi*4)/1.5707963267946.

How to calculate Number of Resonant Cavities?

With Number of Oscillation (M) & Phase Shift in Magnetron (Φ_n) we can find Number of Resonant Cavities using the formula - Number of Resonant Cavities = (2*pi*Number of Oscillation)/Phase Shift in Magnetron. This formula also uses Archimedes' constant .

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