Unloaded Q-factor Solution

STEP 0: Pre-Calculation Summary
Formula Used
Unloaded Q-factor = Capacitance at Vane Tips*Angular Frequency/Conductance of Cavity
Qun = Cv*ω/G
This formula uses 4 Variables
Variables Used
Unloaded Q-factor - Unloaded Q-factor is defined as a dimensionless parameter that describes how underdamped an oscillator or resonator is.
Capacitance at Vane Tips - (Measured in Farad) - Capacitance at Vane Tips is defined as the ratio of the amount of electric charge stored on a conductor to a difference in electric potential at the vane tips.
Angular Frequency - (Measured in Radian per Second) - Angular Frequency of a steadily recurring phenomenon expressed in radians per second.
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).
STEP 1: Convert Input(s) to Base Unit
Capacitance at Vane Tips: 2.5 Picofarad --> 2.5E-12 Farad (Check conversion here)
Angular Frequency: 790000000 Radian per Second --> 790000000 Radian per Second No Conversion Required
Conductance of Cavity: 1.4E-05 Siemens --> 1.4E-05 Siemens No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Qun = Cv*ω/G --> 2.5E-12*790000000/1.4E-05
Evaluating ... ...
Qun = 141.071428571429
STEP 3: Convert Result to Output's Unit
141.071428571429 --> No Conversion Required
FINAL ANSWER
141.071428571429 141.0714 <-- Unloaded Q-factor
(Calculation completed in 00.004 seconds)

Credits

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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 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 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 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

Unloaded Q-factor Formula

Unloaded Q-factor = Capacitance at Vane Tips*Angular Frequency/Conductance of Cavity
Qun = Cv*ω/G

What is significance of Unloaded Q-factor?

Understanding and controlling the unloaded Q-factor is essential in designing resonant circuits for specific applications. Engineers often optimize the Q-factor based on the requirements of a particular system, balancing considerations such as selectivity, bandwidth, and efficiency.

How to Calculate Unloaded Q-factor?

Unloaded Q-factor calculator uses Unloaded Q-factor = Capacitance at Vane Tips*Angular Frequency/Conductance of Cavity to calculate the Unloaded Q-factor, The Unloaded Q-factor formula is defined as dimensionless parameter that describes how underdamped an oscillator or resonator is. It is approximately defined as the ratio of the initial energy stored in the resonator to the energy lost in one radian of the cycle of oscillation. Unloaded Q-factor is denoted by Qun symbol.

How to calculate Unloaded Q-factor using this online calculator? To use this online calculator for Unloaded Q-factor, enter Capacitance at Vane Tips (Cv), Angular Frequency (ω) & Conductance of Cavity (G) and hit the calculate button. Here is how the Unloaded Q-factor calculation can be explained with given input values -> 141.0714 = 2.5E-12*790000000/1.4E-05 .

FAQ

What is Unloaded Q-factor?
The Unloaded Q-factor formula is defined as dimensionless parameter that describes how underdamped an oscillator or resonator is. It is approximately defined as the ratio of the initial energy stored in the resonator to the energy lost in one radian of the cycle of oscillation and is represented as Qun = Cv*ω/G or Unloaded Q-factor = Capacitance at Vane Tips*Angular Frequency/Conductance of Cavity. Capacitance at Vane Tips is defined as the ratio of the amount of electric charge stored on a conductor to a difference in electric potential at the vane tips, Angular Frequency of a steadily recurring phenomenon expressed in radians per second & 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).
How to calculate Unloaded Q-factor?
The Unloaded Q-factor formula is defined as dimensionless parameter that describes how underdamped an oscillator or resonator is. It is approximately defined as the ratio of the initial energy stored in the resonator to the energy lost in one radian of the cycle of oscillation is calculated using Unloaded Q-factor = Capacitance at Vane Tips*Angular Frequency/Conductance of Cavity. To calculate Unloaded Q-factor, you need Capacitance at Vane Tips (Cv), Angular Frequency (ω) & Conductance of Cavity (G). With our tool, you need to enter the respective value for Capacitance at Vane Tips, Angular Frequency & Conductance of Cavity 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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