Q-Factor of Beam Loading Calculator

✖Q Factor of Loaded Catcher Cavity is defined as a measure of the strength of the damping of its oscillations.ⓘ Q Factor of Loaded Catcher Cavity [Q_L]			+10% -10%
✖Q Factor of Catcher Wall is defined as a measure of the strength of the damping of its oscillations, or for the relative line width Of Catcher Wall.ⓘ Q Factor of Catcher Wall [Q_o]			+10% -10%
✖Q Factor of External Load is defined as a measure of the strength of the damping of its oscillations, or for the relative linewidth Of External Load.ⓘ Q Factor of External Load [Q_el]			+10% -10%

✖Q Factor of Beam Loading is defined as a measure of the strength of the damping of its oscillations, or for the relative linewidth Of Beam Loading.ⓘ Q-Factor of Beam Loading [Q_b]

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Formula

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Q-Factor of Beam Loading

Formula

`"Q"_{"b"} = 1/("Q"_{"L"}-(1/"Q"_{"o"})-(1/"Q"_{"el"}))`

Example

`"0.800305"=1/("2.24"-(1/"1.25")-(1/"5.25"))`

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Q-Factor of Beam Loading Solution

STEP 0: Pre-Calculation Summary

Formula Used

Q Factor of Beam Loading = 1/(Q Factor of Loaded Catcher Cavity-(1/Q Factor of Catcher Wall)-(1/Q Factor of External Load))
Q_b = 1/(Q_L-(1/Q_o)-(1/Q_el))
This formula uses 4 Variables

Variables Used

Q Factor of Beam Loading - Q Factor of Beam Loading is defined as a measure of the strength of the damping of its oscillations, or for the relative linewidth Of Beam Loading.
Q Factor of Loaded Catcher Cavity - Q Factor of Loaded Catcher Cavity is defined as a measure of the strength of the damping of its oscillations.
Q Factor of Catcher Wall - Q Factor of Catcher Wall is defined as a measure of the strength of the damping of its oscillations, or for the relative line width Of Catcher Wall.
Q Factor of External Load - Q Factor of External Load is defined as a measure of the strength of the damping of its oscillations, or for the relative linewidth Of External Load.

STEP 1: Convert Input(s) to Base Unit

Q Factor of Loaded Catcher Cavity: 2.24 --> No Conversion Required
Q Factor of Catcher Wall: 1.25 --> No Conversion Required
Q Factor of External Load: 5.25 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q_b = 1/(Q_L-(1/Q_o)-(1/Q_el)) --> 1/(2.24-(1/1.25)-(1/5.25))

Evaluating ... ...

Q_b = 0.80030487804878

STEP 3: Convert Result to Output's Unit

0.80030487804878 --> No Conversion Required

FINAL ANSWER

0.80030487804878 ≈ 0.800305 <-- Q Factor of Beam Loading

(Calculation completed in 00.004 seconds)

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Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

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< 14 Q-Factor Calculators

Q-Factor of Loaded Resonator Circuit

Go Q Factor of Loaded Resonator Circuit = (Resonant Angular Frequency*Capacitance at Vane Tips)/(Resonator Conductance+Conductance of Cavity)

Q-Factor of Loaded Catcher Cavity

Go Q Factor of Loaded Catcher Cavity = (1/Q Factor of Catcher Wall)+(1/Q Factor of Beam Loading)+(1/Q Factor of External Load)

Q-Factor of External Load

Go Q Factor of External Load = 1/(Q Factor of Loaded Catcher Cavity-(1/Q Factor of Beam Loading)-(1/Q Factor of Catcher Wall))

Q-Factor of Catcher Wall

Go Q Factor of Catcher Wall = 1/(Q Factor of Loaded Catcher Cavity-(1/Q Factor of Beam Loading)-(1/Q Factor of External Load))

Q-Factor of Beam Loading

Go Q Factor of Beam Loading = 1/(Q Factor of Loaded Catcher Cavity-(1/Q Factor of Catcher Wall)-(1/Q Factor of External Load))

Q-Factor of Microstrip Lines given Height and Frequency

Go Q-Factor of Microstrip Lines = 0.63*Height*sqrt(Conductivity*Frequency)

Resonant Angular Frequency given Q-External

Go Resonant Angular Frequency = (Loaded Conductance*External Q-Factor)/Capacitance at Vane Tips

Load Conductance given Q-External

Go Loaded Conductance = (Resonant Angular Frequency*Capacitance at Vane Tips)/External Q-Factor

External Q-Factor

Go External Q-Factor = (Capacitance at Vane Tips*Resonant Angular Frequency)/Loaded Conductance

Unloaded Q-factor

Go Unloaded Q-factor = Capacitance at Vane Tips*Angular Frequency/Conductance of Cavity

Quality Factor of Cavity Resonator

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

Q-Factor for Copper Strip

Go Q-Factor of Copper Strip Lines = 4780*Height*sqrt(Frequency)

Q-Factor of Wide Microstrip Lines

Go Q-Factor of Microstrip Lines = 27.3/Conductor Attenuation Constant

Q-Factor given Dielectric Attenuation Constant

Go Q-Factor = 27.3/Dielectric Attenuation Constant

Q-Factor of Beam Loading Formula

Q Factor of Beam Loading = 1/(Q Factor of Loaded Catcher Cavity-(1/Q Factor of Catcher Wall)-(1/Q Factor of External Load))
Q_b = 1/(Q_L-(1/Q_o)-(1/Q_el))

What is Q-Factor?

The quality factor or Q factor is a dimensionless parameter that describes how underdamped an oscillator or resonator is.

How to Calculate Q-Factor of Beam Loading?

Q-Factor of Beam Loading calculator uses Q Factor of Beam Loading = 1/(Q Factor of Loaded Catcher Cavity-(1/Q Factor of Catcher Wall)-(1/Q Factor of External Load)) to calculate the Q Factor of Beam Loading, The Q-factor of Beam Loading formula is defined as a measure of the strength of the damping of its oscillations, or for the relative linewidth Of Beam Loading. Q Factor of Beam Loading is denoted by Q_b symbol.

How to calculate Q-Factor of Beam Loading using this online calculator? To use this online calculator for Q-Factor of Beam Loading, enter Q Factor of Loaded Catcher Cavity (Q_L), Q Factor of Catcher Wall (Q_o) & Q Factor of External Load (Q_el) and hit the calculate button. Here is how the Q-Factor of Beam Loading calculation can be explained with given input values -> 0.800305 = 1/(2.24-(1/1.25)-(1/5.25)).

FAQ

What is Q-Factor of Beam Loading?

The Q-factor of Beam Loading formula is defined as a measure of the strength of the damping of its oscillations, or for the relative linewidth Of Beam Loading and is represented as Q_b = 1/(Q_L-(1/Q_o)-(1/Q_el)) or Q Factor of Beam Loading = 1/(Q Factor of Loaded Catcher Cavity-(1/Q Factor of Catcher Wall)-(1/Q Factor of External Load)). Q Factor of Loaded Catcher Cavity is defined as a measure of the strength of the damping of its oscillations, Q Factor of Catcher Wall is defined as a measure of the strength of the damping of its oscillations, or for the relative line width Of Catcher Wall & Q Factor of External Load is defined as a measure of the strength of the damping of its oscillations, or for the relative linewidth Of External Load.

How to calculate Q-Factor of Beam Loading?

The Q-factor of Beam Loading formula is defined as a measure of the strength of the damping of its oscillations, or for the relative linewidth Of Beam Loading is calculated using Q Factor of Beam Loading = 1/(Q Factor of Loaded Catcher Cavity-(1/Q Factor of Catcher Wall)-(1/Q Factor of External Load)). To calculate Q-Factor of Beam Loading, you need Q Factor of Loaded Catcher Cavity (Q_L), Q Factor of Catcher Wall (Q_o) & Q Factor of External Load (Q_el). With our tool, you need to enter the respective value for Q Factor of Loaded Catcher Cavity, Q Factor of Catcher Wall & Q Factor of External Load 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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