Unloaded Q-factor Calculator

✖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.ⓘ Capacitance at Vane Tips [C_v]			+10% -10%
✖Angular Frequency of a steadily recurring phenomenon expressed in radians per second.ⓘ Angular Frequency [ω]			+10% -10%
✖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%

✖Unloaded Q-factor is defined as a dimensionless parameter that describes how underdamped an oscillator or resonator is.ⓘ Unloaded Q-factor [Q_un]

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Unloaded Q-factor Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Q_un = C_v*ω/G --> 2.5E-12*790000000/1.4E-05

Evaluating ... ...

Q_un = 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)

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Created by Shobhit Dimri

Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

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Quality Factor of Cavity Resonator

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Unloaded Q-factor Formula

LaTeX Go

Unloaded Q-factor = Capacitance at Vane Tips*Angular Frequency/Conductance of Cavity
Q_un = C_v*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 Q_un 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 (C_v), 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 Q_un = C_v*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 (C_v), 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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