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Microwave Voltage in Buncher Gap Formula

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Microwave Voltage in the Buncher Gap refers to the RF (radio frequency) voltage applied across the buncher gap in a microwave device. Check FAQs

V s = (\frac{V 1}{ω v \cdot τ}) \cdot (\cos (ω v \cdot t 0) - \cos (ω o + \frac{ω v \cdot d}{v o}))

V_s - Microwave Voltage in the Buncher Gap?V₁ - Amplitude of Signal?ω_v - Angular Frequency of Microwave Voltage?τ - Average Transit Time?t₀ - Entering Time?ω_o - Resonant Angular Frequency?d - Buncher Gap Distance?v_o - Velocity of Electron?

Microwave Voltage in Buncher Gap Example

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

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

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

4.2E+7 = (\frac{5.5}{5.6 \cdot 3.8E-8}) \cdot (\cos (5.6 \cdot 0.005) - \cos (4.3 + \frac{5.6 \cdot 7}{9.3}))

4.2E+7V = (\frac{5.5V}{5.6rad/s \cdot 3.8E-8s}) \cdot (\cos (5.6rad/s \cdot 0.005s) - \cos (4.3Hz + \frac{5.6rad/s \cdot 7m}{9.3m/s}))

4.2E+7 = (\frac{5.5}{5.6 \cdot 3.8E-8}) \cdot (\cos (5.6 \cdot 0.005) - \cos (4.3 + \frac{5.6 \cdot 7}{9.3}))

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Microwave Voltage in Buncher Gap Solution

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

FIRST Step Consider the formula

V s = (\frac{V 1}{ω v \cdot τ}) \cdot (\cos (ω v \cdot t 0) - \cos (ω o + \frac{ω v \cdot d}{v o}))

Next Step Substitute values of Variables

∴

V s = (\frac{5.5V}{5.6rad/s \cdot 3.8E-8s}) \cdot (\cos (5.6rad/s \cdot 0.005s) - \cos (4.3Hz + \frac{5.6rad/s \cdot 7m}{9.3m/s}))

Next Step Prepare to Evaluate

∴

V s = (\frac{5.5}{5.6 \cdot 3.8E-8}) \cdot (\cos (5.6 \cdot 0.005) - \cos (4.3 + \frac{5.6 \cdot 7}{9.3}))

Next Step Evaluate

∴

V s = 41704150.5848926V

LAST Step Rounding Answer

∴

V s = 4.2E+7V

Microwave Voltage in Buncher Gap Formula Elements

Variables

Functions

Microwave Voltage in the Buncher Gap

Microwave Voltage in the Buncher Gap refers to the RF (radio frequency) voltage applied across the buncher gap in a microwave device.

Symbol: V_s

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Microwave Voltage in the Buncher Gap

Amplitude of Signal

Amplitude of Signal which is entered into the O microwave tube.

Symbol: V₁

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Amplitude of Signal

Angular Frequency of Microwave Voltage

Angular Frequency of Microwave Voltage denote the angular frequency of the microwave voltage applied across the gap.

Symbol: ω_v

Measurement: Angular FrequencyUnit: rad/s

Note: Value can be positive or negative.

Formulas to find Angular Frequency of Microwave Voltage

Average Transit Time

Average Transit Time is the average time passed in the transient state.

Symbol: τ

Measurement: TimeUnit: s

Note: Value can be positive or negative.

Formulas to find Average Transit Time

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

Resonant Angular Frequency

Resonant Angular Frequency of the electromagnetic fields within a resonant cavity, such as the buncher gap.

Symbol: ω_o

Measurement: FrequencyUnit: Hz

Note: Value can be positive or negative.

Formulas to find Resonant Angular Frequency

Buncher Gap Distance

Buncher Gap Distance refers to the physical separation between the electrodes or structures that form the buncher cavity in a microwave device.

Symbol: d

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Buncher Gap Distance

Velocity of Electron

Velocity of Electron is the rate of electron travels in the beam tube.

Symbol: v_o

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Velocity of Electron

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

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Go Power Generated in Anode Circuit

P gen = P dc \cdot η e

How to Evaluate Microwave Voltage in Buncher Gap?

Microwave Voltage in Buncher Gap evaluator uses Microwave Voltage in the Buncher Gap = (Amplitude of Signal/(Angular Frequency of Microwave Voltage*Average Transit Time))*(cos(Angular Frequency of Microwave Voltage*Entering Time)-cos(Resonant Angular Frequency+(Angular Frequency of Microwave Voltage*Buncher Gap Distance)/Velocity of Electron)) to evaluate the Microwave Voltage in the Buncher Gap, The Microwave Voltage in Buncher Gap formula refers to the RF (radio frequency) voltage applied across the buncher gap in a microwave device such as a klystron or a traveling wave tube (TWT). Microwave Voltage in the Buncher Gap is denoted by V_s symbol.

How to evaluate Microwave Voltage in Buncher Gap using this online evaluator? To use this online evaluator for Microwave Voltage in Buncher Gap, enter Amplitude of Signal (V₁), Angular Frequency of Microwave Voltage (ω_v), Average Transit Time (τ), Entering Time (t₀), Resonant Angular Frequency (ω_o), Buncher Gap Distance (d) & Velocity of Electron (v_o) and hit the calculate button.

FAQs on Microwave Voltage in Buncher Gap

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

The formula of Microwave Voltage in Buncher Gap is expressed as Microwave Voltage in the Buncher Gap = (Amplitude of Signal/(Angular Frequency of Microwave Voltage*Average Transit Time))*(cos(Angular Frequency of Microwave Voltage*Entering Time)-cos(Resonant Angular Frequency+(Angular Frequency of Microwave Voltage*Buncher Gap Distance)/Velocity of Electron)). Here is an example- 4.2E+7 = (5.5/(5.6*3.8E-08))*(cos(5.6*0.005)-cos(4.3+(5.6*7)/9.3)).

How to calculate Microwave Voltage in Buncher Gap?

With Amplitude of Signal (V₁), Angular Frequency of Microwave Voltage (ω_v), Average Transit Time (τ), Entering Time (t₀), Resonant Angular Frequency (ω_o), Buncher Gap Distance (d) & Velocity of Electron (v_o) we can find Microwave Voltage in Buncher Gap using the formula - Microwave Voltage in the Buncher Gap = (Amplitude of Signal/(Angular Frequency of Microwave Voltage*Average Transit Time))*(cos(Angular Frequency of Microwave Voltage*Entering Time)-cos(Resonant Angular Frequency+(Angular Frequency of Microwave Voltage*Buncher Gap Distance)/Velocity of Electron)). This formula also uses Cosine (cos) function(s).

Can the Microwave Voltage in Buncher Gap be negative?

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

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

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 Microwave Voltage in Buncher Gap can be measured.

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Microwave Voltage in Buncher Gap Formula

Microwave Voltage in Buncher Gap Example

Microwave Voltage in Buncher Gap Solution

Microwave Voltage in Buncher Gap Formula Elements

Other formulas in Beam Tube category

How to Evaluate Microwave Voltage in Buncher Gap?

FAQs on Microwave Voltage in Buncher Gap

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