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Mutual Conductance of Klystron Amplifier Formula

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Mutual conductance of Klystron Amplifier is defined as the ratio of the change in anode current ΔIa to the change in grid voltage ΔVg, with anode voltage held constant. Check FAQs

G m = \frac{2 \cdot I o \cdot β i \cdot JX}{V in}

G_m - Mutual Conductance of Klystron Amplifier?I_o - Cathode Buncher Current?β_i - Beam Coupling Coefficient?JX - First Order Bessel Function?V_in - Input Signal Amplitude?

Mutual Conductance of Klystron Amplifier Example

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Here is how the Mutual Conductance of Klystron Amplifier equation looks like with Values.

Here is how the Mutual Conductance of Klystron Amplifier equation looks like with Units.

Here is how the Mutual Conductance of Klystron Amplifier equation looks like.

0.0281 = \frac{2 \cdot 1.56 \cdot 0.836 \cdot 0.538}{50}

0.0281S = \frac{2 \cdot 1.56A \cdot 0.836 \cdot 0.538}{50V}

0.0281 = \frac{2 \cdot 1.56 \cdot 0.836 \cdot 0.538}{50}

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Mutual Conductance of Klystron Amplifier Solution

Follow our step by step solution on how to calculate Mutual Conductance of Klystron Amplifier?

FIRST Step Consider the formula

G m = \frac{2 \cdot I o \cdot β i \cdot JX}{V in}

Next Step Substitute values of Variables

∴

G m = \frac{2 \cdot 1.56A \cdot 0.836 \cdot 0.538}{50V}

Next Step Prepare to Evaluate

∴

G m = \frac{2 \cdot 1.56 \cdot 0.836 \cdot 0.538}{50}

Next Step Evaluate

∴

G m = 0.0280655232S

LAST Step Rounding Answer

∴

G m = 0.0281S

Mutual Conductance of Klystron Amplifier Formula Elements

Variables

Mutual Conductance of Klystron Amplifier

Mutual conductance of Klystron Amplifier is defined as the ratio of the change in anode current ΔIa to the change in grid voltage ΔVg, with anode voltage held constant.

Symbol: G_m

Measurement: Electric ConductanceUnit: S

Note: Value should be greater than 0.

Formulas to find Mutual Conductance of Klystron Amplifier

Cathode Buncher Current

Cathode Buncher Current refers to the current that flows through the cathode buncher circuit of a klystron or other microwave vacuum tube.

Symbol: I_o

Measurement: Electric CurrentUnit: A

Note: Value should be greater than 0.

Formulas to find Cathode Buncher Current

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 should be greater than 0.

Formulas to find Beam Coupling Coefficient

First Order Bessel Function

First Order Bessel Function has zeros at certain values of x, known as the Bessel zeros, which have important applications in signal processing and antenna theory.

Symbol: JX

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find First Order Bessel Function

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

Other formulas in Klystron category

Go Beam Loading Conductance

G b = G - (G L + G cu)

Go Copper Loss of Cavity

G cu = G - (G b + G L)

Go Cavity Conductance

G = G L + G cu + G b

Go Bunching Parameter of Klystron

X = \frac{β i \cdot V in \cdot θ o}{2 \cdot V o}

How to Evaluate Mutual Conductance of Klystron Amplifier?

Mutual Conductance of Klystron Amplifier evaluator uses Mutual Conductance of Klystron Amplifier = (2*Cathode Buncher Current*Beam Coupling Coefficient*First Order Bessel Function)/Input Signal Amplitude to evaluate the Mutual Conductance of Klystron Amplifier, The Mutual Conductance of Klystron Amplifier formula is defined as the ratio of the change in anode current ΔIa to the change in grid voltage ΔVg, with anode voltage held constant. Mutual Conductance of Klystron Amplifier is denoted by G_m symbol.

How to evaluate Mutual Conductance of Klystron Amplifier using this online evaluator? To use this online evaluator for Mutual Conductance of Klystron Amplifier, enter Cathode Buncher Current (I_o), Beam Coupling Coefficient (β_i), First Order Bessel Function (JX) & Input Signal Amplitude (V_in) and hit the calculate button.

FAQs on Mutual Conductance of Klystron Amplifier

What is the formula to find Mutual Conductance of Klystron Amplifier?

The formula of Mutual Conductance of Klystron Amplifier is expressed as Mutual Conductance of Klystron Amplifier = (2*Cathode Buncher Current*Beam Coupling Coefficient*First Order Bessel Function)/Input Signal Amplitude. Here is an example- 0.028066 = (2*1.56*0.836*0.538)/50.

How to calculate Mutual Conductance of Klystron Amplifier?

With Cathode Buncher Current (I_o), Beam Coupling Coefficient (β_i), First Order Bessel Function (JX) & Input Signal Amplitude (V_in) we can find Mutual Conductance of Klystron Amplifier using the formula - Mutual Conductance of Klystron Amplifier = (2*Cathode Buncher Current*Beam Coupling Coefficient*First Order Bessel Function)/Input Signal Amplitude.

Can the Mutual Conductance of Klystron Amplifier be negative?

No, the Mutual Conductance of Klystron Amplifier, measured in Electric Conductance cannot be negative.

Which unit is used to measure Mutual Conductance of Klystron Amplifier?

Mutual Conductance of Klystron Amplifier is usually measured using the Siemens[S] for Electric Conductance. Megasiemens[S], Millisiemens[S], Mho[S] are the few other units in which Mutual Conductance of Klystron Amplifier can be measured.

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Mutual Conductance of Klystron Amplifier Formula

Mutual Conductance of Klystron Amplifier Example

Mutual Conductance of Klystron Amplifier Solution

Mutual Conductance of Klystron Amplifier Formula Elements

Other formulas in Klystron category

How to Evaluate Mutual Conductance of Klystron Amplifier?

FAQs on Mutual Conductance of Klystron Amplifier

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