Mutual Conductance of Klystron Amplifier Calculator

✖Cathode Buncher Current refers to the current that flows through the cathode buncher circuit of a klystron or other microwave vacuum tube.ⓘ Cathode Buncher Current [I_o]			+10% -10%
✖Beam Coupling Coefficient is a measure of the interaction between an electron beam and an electromagnetic wave in a resonant cavity.ⓘ Beam Coupling Coefficient [β_i]			+10% -10%
✖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.ⓘ First Order Bessel Function [JX]			+10% -10%
✖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.ⓘ Input Signal Amplitude [V_in]			+10% -10%

✖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.ⓘ Mutual Conductance of Klystron Amplifier [G_m]

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Formula

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Mutual Conductance of Klystron Amplifier

Formula

`"G"_{"m"} = (2*"I"_{"o"}*"β"_{"i"}*"JX")/"V"_{"in"}`

Example

`"0.028066S"=(2*"1.56A"*"0.836"*"0.538")/"50V"`

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Mutual Conductance of Klystron Amplifier Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mutual Conductance of Klystron Amplifier = (2*Cathode Buncher Current*Beam Coupling Coefficient*First Order Bessel Function)/Input Signal Amplitude
G_m = (2*I_o*β_i*JX)/V_in
This formula uses 5 Variables

Variables Used

Mutual Conductance of Klystron Amplifier - (Measured in Siemens) - 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.
Cathode Buncher Current - (Measured in Ampere) - Cathode Buncher Current refers to the current that flows through the cathode buncher circuit of a klystron or other microwave vacuum tube.
Beam Coupling Coefficient - Beam Coupling Coefficient is a measure of the interaction between an electron beam and an electromagnetic wave in a resonant cavity.
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.
Input Signal Amplitude - (Measured in Volt) - 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.

STEP 1: Convert Input(s) to Base Unit

Cathode Buncher Current: 1.56 Ampere --> 1.56 Ampere No Conversion Required
Beam Coupling Coefficient: 0.836 --> No Conversion Required
First Order Bessel Function: 0.538 --> No Conversion Required
Input Signal Amplitude: 50 Volt --> 50 Volt No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

G_m = (2*I_o*β_i*JX)/V_in --> (2*1.56*0.836*0.538)/50

Evaluating ... ...

G_m = 0.0280655232

STEP 3: Convert Result to Output's Unit

0.0280655232 Siemens --> No Conversion Required

FINAL ANSWER

0.0280655232 ≈ 0.028066 Siemens <-- Mutual Conductance of Klystron Amplifier

(Calculation completed in 00.020 seconds)

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< 13 Klystron Calculators

Width of Depletion Zone

Go Width of Depletion Region = sqrt((([Permitivity-silicon]*2)/([Charge-e]*Doping Density))*(Schottky Potential Barrier-Gate Voltage))

Mutual Conductance of Klystron Amplifier

Go Mutual Conductance of Klystron Amplifier = (2*Cathode Buncher Current*Beam Coupling Coefficient*First Order Bessel Function)/Input Signal Amplitude

Klystron Efficiency

Go Klystron Efficiency = (Beam Complex Coefficient*First Order Bessel Function)*(Catcher Gap Voltage/Cathode Buncher Voltage)

Bunching Parameter of Klystron

Go Bunching Parameter = (Beam Coupling Coefficient*Input Signal Amplitude*Angular Variation)/(2*Cathode Buncher Voltage)

Beam Loading Conductance

Go Beam Loading Conductance = Conductance of Cavity-(Loaded Conductance+Copper Loss Conductance)

Copper Loss of Cavity

Go Copper Loss Conductance = Conductance of Cavity-(Beam Loading Conductance+Loaded Conductance)

Cavity Conductance

Go Conductance of Cavity = Loaded Conductance+Copper Loss Conductance+Beam Loading Conductance

Anode Voltage

Go Anode Voltage = Power Generated in Anode Circuit/(Anode Current*Electronic Efficiency)

Resonant Frequency of Cavity

Go Resonant Frequency = Q factor of Cavity Resonator*(Frequency 2-Frequency 1)

Input Power of Reflex Klystron

Go Reflex Klystron Input Power = Reflex Klystron Voltage*Reflex Klystron Beam Current

DC Transit Time

Go DC Transient Time = Gate Length/Saturation Drift Velocity

Power Loss in Anode Circuit

Go Power Loss = DC Power Supply*(1-Electronic Efficiency)

DC Power Supply

Go DC Power Supply = Power Loss/(1-Electronic Efficiency)

Mutual Conductance of Klystron Amplifier Formula

Mutual Conductance of Klystron Amplifier = (2*Cathode Buncher Current*Beam Coupling Coefficient*First Order Bessel Function)/Input Signal Amplitude
G_m = (2*I_o*β_i*JX)/V_in

What is Klystron?

Klystrons are high power microwave vacuum tubes. They are velocity-modulated tubes that are used in radars as amplifiers or oscillators. A klystron uses the kinetic energy of an electron beam for the amplification of a high-frequency signal.

How to Calculate Mutual Conductance of Klystron Amplifier?

Mutual Conductance of Klystron Amplifier calculator uses Mutual Conductance of Klystron Amplifier = (2*Cathode Buncher Current*Beam Coupling Coefficient*First Order Bessel Function)/Input Signal Amplitude to calculate 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 calculate Mutual Conductance of Klystron Amplifier using this online calculator? To use this online calculator 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. Here is how the Mutual Conductance of Klystron Amplifier calculation can be explained with given input values -> 0.028066 = (2*1.56*0.836*0.538)/50.

FAQ

What is 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 and is represented as G_m = (2*I_o*β_i*JX)/V_in or Mutual Conductance of Klystron Amplifier = (2*Cathode Buncher Current*Beam Coupling Coefficient*First Order Bessel Function)/Input Signal Amplitude. Cathode Buncher Current refers to the current that flows through the cathode buncher circuit of a klystron or other microwave vacuum tube, Beam Coupling Coefficient is a measure of the interaction between an electron beam and an electromagnetic wave in a resonant cavity, 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 & 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.

How to calculate 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 is calculated using Mutual Conductance of Klystron Amplifier = (2*Cathode Buncher Current*Beam Coupling Coefficient*First Order Bessel Function)/Input Signal Amplitude. To calculate Mutual Conductance of Klystron Amplifier, you need Cathode Buncher Current (I_o), Beam Coupling Coefficient (β_i), First Order Bessel Function (JX) & Input Signal Amplitude (V_in). With our tool, you need to enter the respective value for Cathode Buncher Current, Beam Coupling Coefficient, First Order Bessel Function & Input Signal Amplitude and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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