Beam Loading Conductance Calculator

✖Conductance of Cavity can be expressed as the ratio of the current flowing through the cavity to the voltage across it. It is typically measured in units of siemens (S).ⓘ Conductance of Cavity [G]			+10% -10%
✖Loaded Conductance is a measure of the ease with which a load, such as a circuit or a device, can conduct an electric current.ⓘ Loaded Conductance [G_L]			+10% -10%
✖Copper Loss Conductance refers to the resistance encountered by electromagnetic waves when they travel through a conductor, such as copper. It is also called Surface Resistance.ⓘ Copper Loss Conductance [G_cu]			+10% -10%

✖Beam Loading Conductance is the measure of the ability of an RF cavity resonator to accept energy from an electron beam passing through it.ⓘ Beam Loading Conductance [G_b]

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Formula

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Beam Loading Conductance

Formula

`"G"_{"b"} = "G"-("G"_{"L"}+"G"_{"cu"})`

Example

`"-0.070011S"="1.4e-5S"-("2.5e-5S"+"0.07S")`

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Beam Loading Conductance Solution

STEP 0: Pre-Calculation Summary

Formula Used

Beam Loading Conductance = Conductance of Cavity-(Loaded Conductance+Copper Loss Conductance)
G_b = G-(G_L+G_cu)
This formula uses 4 Variables

Variables Used

Beam Loading Conductance - (Measured in Siemens) - Beam Loading Conductance is the measure of the ability of an RF cavity resonator to accept energy from an electron beam passing through it.
Conductance of Cavity - (Measured in Siemens) - Conductance of Cavity can be expressed as the ratio of the current flowing through the cavity to the voltage across it. It is typically measured in units of siemens (S).
Loaded Conductance - (Measured in Siemens) - Loaded Conductance is a measure of the ease with which a load, such as a circuit or a device, can conduct an electric current.
Copper Loss Conductance - (Measured in Siemens) - Copper Loss Conductance refers to the resistance encountered by electromagnetic waves when they travel through a conductor, such as copper. It is also called Surface Resistance.

STEP 1: Convert Input(s) to Base Unit

Conductance of Cavity: 1.4E-05 Siemens --> 1.4E-05 Siemens No Conversion Required
Loaded Conductance: 2.5E-05 Siemens --> 2.5E-05 Siemens No Conversion Required
Copper Loss Conductance: 0.07 Siemens --> 0.07 Siemens No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

G_b = G-(G_L+G_cu) --> 1.4E-05-(2.5E-05+0.07)

Evaluating ... ...

G_b = -0.070011

STEP 3: Convert Result to Output's Unit

-0.070011 Siemens --> No Conversion Required

FINAL ANSWER

-0.070011 Siemens <-- Beam Loading Conductance

(Calculation completed in 00.004 seconds)

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Created by Shobhit Dimri

Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

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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)

Beam Loading Conductance Formula

Beam Loading Conductance = Conductance of Cavity-(Loaded Conductance+Copper Loss Conductance)
G_b = G-(G_L+G_cu)

What is Insertion Loss?

It is a measure of the loss of the energy in transmission through a line or device compared to the direct delivery of energy without the line or device.

How to Calculate Beam Loading Conductance?

Beam Loading Conductance calculator uses Beam Loading Conductance = Conductance of Cavity-(Loaded Conductance+Copper Loss Conductance) to calculate the Beam Loading Conductance, The Beam Loading Conductance formula is defined as as the degree to which an object conducts electricity, calculated as the ratio of the current which flows to the potential difference present in Beam Loading. Beam Loading Conductance is denoted by G_b symbol.

How to calculate Beam Loading Conductance using this online calculator? To use this online calculator for Beam Loading Conductance, enter Conductance of Cavity (G), Loaded Conductance (G_L) & Copper Loss Conductance (G_cu) and hit the calculate button. Here is how the Beam Loading Conductance calculation can be explained with given input values -> -0.070011 = 1.4E-05-(2.5E-05+0.07).

FAQ

What is Beam Loading Conductance?

The Beam Loading Conductance formula is defined as as the degree to which an object conducts electricity, calculated as the ratio of the current which flows to the potential difference present in Beam Loading and is represented as G_b = G-(G_L+G_cu) or Beam Loading Conductance = Conductance of Cavity-(Loaded Conductance+Copper Loss Conductance). Conductance of Cavity can be expressed as the ratio of the current flowing through the cavity to the voltage across it. It is typically measured in units of siemens (S), Loaded Conductance is a measure of the ease with which a load, such as a circuit or a device, can conduct an electric current & Copper Loss Conductance refers to the resistance encountered by electromagnetic waves when they travel through a conductor, such as copper. It is also called Surface Resistance.

How to calculate Beam Loading Conductance?

The Beam Loading Conductance formula is defined as as the degree to which an object conducts electricity, calculated as the ratio of the current which flows to the potential difference present in Beam Loading is calculated using Beam Loading Conductance = Conductance of Cavity-(Loaded Conductance+Copper Loss Conductance). To calculate Beam Loading Conductance, you need Conductance of Cavity (G), Loaded Conductance (G_L) & Copper Loss Conductance (G_cu). With our tool, you need to enter the respective value for Conductance of Cavity, Loaded Conductance & Copper Loss Conductance 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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