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Average Microwave Voltage in Buncher Gap Formula

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Average microwave voltage is the average volt that the microwave uses. Check FAQs

V avg = V in \cdot β i \cdot \sin (ω \cdot t 0 + (\frac{θ g}{2}))

V_avg - Average Microwave Voltage?V_in - Input Signal Amplitude?β_i - Beam Coupling Coefficient?ω - Angular Frequency?t₀ - Entering Time?θ_g - Average Transient Angle?

Average Microwave Voltage in Buncher Gap Example

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Here is how the Average Microwave Voltage in Buncher Gap equation looks like with Values.

Here is how the Average Microwave Voltage in Buncher Gap equation looks like with Units.

Here is how the Average Microwave Voltage in Buncher Gap equation looks like.

14.7073 = 50 \cdot 0.836 \cdot \sin (7.9E+8 \cdot 0.005 + (\frac{30.38}{2}))

14.7073V = 50V \cdot 0.836 \cdot \sin (7.9E+8rad/s \cdot 0.005s + (\frac{30.38rad}{2}))

14.7073 = 50 \cdot 0.836 \cdot \sin (7.9E+8 \cdot 0.005 + (\frac{30.38}{2}))

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Average Microwave Voltage in Buncher Gap Solution

Follow our step by step solution on how to calculate Average Microwave Voltage in Buncher Gap?

FIRST Step Consider the formula

V avg = V in \cdot β i \cdot \sin (ω \cdot t 0 + (\frac{θ g}{2}))

Next Step Substitute values of Variables

∴

V avg = 50V \cdot 0.836 \cdot \sin (7.9E+8rad/s \cdot 0.005s + (\frac{30.38rad}{2}))

Next Step Prepare to Evaluate

∴

V avg = 50 \cdot 0.836 \cdot \sin (7.9E+8 \cdot 0.005 + (\frac{30.38}{2}))

Next Step Evaluate

∴

V avg = 14.7072773033651V

LAST Step Rounding Answer

∴

V avg = 14.7073V

Average Microwave Voltage in Buncher Gap Formula Elements

Variables

Functions

Average Microwave Voltage

Average microwave voltage is the average volt that the microwave uses.

Symbol: V_avg

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Average Microwave Voltage

Input Signal Amplitude

Input Signal Amplitude is the maximum amplitude or peak value of the input signal, which is usually a sinusoidal signal, and is measured in units of volts or decibels relative to a reference level.

Symbol: V_in

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Input Signal Amplitude

Beam Coupling Coefficient

Beam Coupling Coefficient is a measure of the interaction between an electron beam and an electromagnetic wave in a resonant cavity.

Symbol: β_i

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Beam Coupling Coefficient

Angular Frequency

Angular Frequency of a steadily recurring phenomenon expressed in radians per second.

Symbol: ω

Measurement: Angular FrequencyUnit: rad/s

Note: Value should be greater than 0.

Formulas to find Angular Frequency

Entering Time

Entering Time refers to the instant at which an electron enters into the cavity.

Symbol: t₀

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Entering Time

Average Transient Angle

Average transient angle is Stability of Paralleled Synchronous and Virtual Synchronous Generators in Islanded Microgrids.

Symbol: θ_g

Measurement: AngleUnit: rad

Note: Value can be positive or negative.

Formulas to find Average Transient Angle

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

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 Microwave Voltage in Buncher Gap?

Average Microwave Voltage in Buncher Gap evaluator uses Average Microwave Voltage = Input Signal Amplitude*Beam Coupling Coefficient*sin(Angular Frequency*Entering Time+(Average Transient Angle/2)) to evaluate the Average Microwave Voltage, The Average Microwave Voltage in Buncher Gap formula is defined as a periodic waveform whether it is a sine wave, square wave, or triangular waveform is defined as the quotient of the area under the waveform with respect to time. Average Microwave Voltage is denoted by V_avg symbol.

How to evaluate Average Microwave Voltage in Buncher Gap using this online evaluator? To use this online evaluator for Average Microwave Voltage in Buncher Gap, enter Input Signal Amplitude (V_in), Beam Coupling Coefficient (β_i), Angular Frequency (ω), Entering Time (t₀) & Average Transient Angle (θ_g) and hit the calculate button.

FAQs on Average Microwave Voltage in Buncher Gap

What is the formula to find Average Microwave Voltage in Buncher Gap?

The formula of Average Microwave Voltage in Buncher Gap is expressed as Average Microwave Voltage = Input Signal Amplitude*Beam Coupling Coefficient*sin(Angular Frequency*Entering Time+(Average Transient Angle/2)). Here is an example- 14.70728 = 50*0.836*sin(790000000*0.005+(30.38/2)).

How to calculate Average Microwave Voltage in Buncher Gap?

With Input Signal Amplitude (V_in), Beam Coupling Coefficient (β_i), Angular Frequency (ω), Entering Time (t₀) & Average Transient Angle (θ_g) we can find Average Microwave Voltage in Buncher Gap using the formula - Average Microwave Voltage = Input Signal Amplitude*Beam Coupling Coefficient*sin(Angular Frequency*Entering Time+(Average Transient Angle/2)). This formula also uses Sine (sin) function(s).

Can the Average Microwave Voltage in Buncher Gap be negative?

Yes, the Average Microwave Voltage in Buncher Gap, measured in Electric Potential can be negative.

Which unit is used to measure Average Microwave Voltage in Buncher Gap?

Average Microwave Voltage in Buncher Gap is usually measured using the Volt[V] for Electric Potential. Millivolt[V], Microvolt[V], Nanovolt[V] are the few other units in which Average Microwave Voltage in Buncher Gap can be measured.

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Average Microwave Voltage in Buncher Gap Formula

Average Microwave Voltage in Buncher Gap Example

Average Microwave Voltage in Buncher Gap Solution

Average Microwave Voltage in Buncher Gap Formula Elements

Other formulas in Klystron Cavity category

How to Evaluate Average Microwave Voltage in Buncher Gap?

FAQs on Average Microwave Voltage in Buncher Gap

Variable Name