Q-Factor of Loaded Resonator Circuit Calculator

✖Resonant Angular Frequency is the frequency at which a resonant system vibrates with maximum amplitude when it is excited by an external force, expressed in radians per second.ⓘ Resonant Angular Frequency [ω_o]			+10% -10%
✖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%
✖Resonator Conductance is the reciprocal of the resonator impedance and is often used to characterize the quality of a resonant cavity.ⓘ Resonator Conductance [G_r]			+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%

✖Q Factor of Loaded Resonator Circuit is a dimensionless parameter that describes how underdamped an oscillator or resonator is.ⓘ Q-Factor of Loaded Resonator Circuit [Q_i]

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Q-Factor of Loaded Resonator Circuit

Formula

`"Q"_{"i"} = ("ω"_{"o"}*"C"_{"v"})/("G"_{"r"}+"G")`

Example

`"642.5234"=("55e9rad/s"*"2.5pF")/("2e-4S"+"1.4e-5S")`

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Q-Factor of Loaded Resonator Circuit Solution

STEP 0: Pre-Calculation Summary

Formula Used

Q Factor of Loaded Resonator Circuit = (Resonant Angular Frequency*Capacitance at Vane Tips)/(Resonator Conductance+Conductance of Cavity)
Q_i = (ω_o*C_v)/(G_r+G)
This formula uses 5 Variables

Variables Used

Q Factor of Loaded Resonator Circuit - Q Factor of Loaded Resonator Circuit is a dimensionless parameter that describes how underdamped an oscillator or resonator is.
Resonant Angular Frequency - (Measured in Radian per Second) - Resonant Angular Frequency is the frequency at which a resonant system vibrates with maximum amplitude when it is excited by an external force, expressed in radians per second.
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.
Resonator Conductance - (Measured in Siemens) - Resonator Conductance is the reciprocal of the resonator impedance and is often used to characterize the quality of a resonant cavity.
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

Resonant Angular Frequency: 55000000000 Radian per Second --> 55000000000 Radian per Second No Conversion Required
Capacitance at Vane Tips: 2.5 Picofarad --> 2.5E-12 Farad (Check conversion here)
Resonator Conductance: 0.0002 Siemens --> 0.0002 Siemens 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_i = (ω_o*C_v)/(G_r+G) --> (55000000000*2.5E-12)/(0.0002+1.4E-05)

Evaluating ... ...

Q_i = 642.523364485981

STEP 3: Convert Result to Output's Unit

642.523364485981 --> No Conversion Required

FINAL ANSWER

642.523364485981 ≈ 642.5234 <-- Q Factor of Loaded Resonator Circuit

(Calculation completed in 00.004 seconds)

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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 Loaded Resonator Circuit Formula

Q Factor of Loaded Resonator Circuit = (Resonant Angular Frequency*Capacitance at Vane Tips)/(Resonator Conductance+Conductance of Cavity)
Q_i = (ω_o*C_v)/(G_r+G)

What is Resonant Circuit?

An electric circuit which has very low impedance at a certain frequency. Resonant circuits are often built using an inductor, such as a coil, connected in parallel to a capacitor.

How to Calculate Q-Factor of Loaded Resonator Circuit?

Q-Factor of Loaded Resonator Circuit calculator uses Q Factor of Loaded Resonator Circuit = (Resonant Angular Frequency*Capacitance at Vane Tips)/(Resonator Conductance+Conductance of Cavity) to calculate the Q Factor of Loaded Resonator Circuit, The Q-factor of loaded resonator circuit formula is defined as the quality factor or Q factor is a dimensionless parameter that describes how underdamped an oscillator or resonator is. Q Factor of Loaded Resonator Circuit is denoted by Q_i symbol.

How to calculate Q-Factor of Loaded Resonator Circuit using this online calculator? To use this online calculator for Q-Factor of Loaded Resonator Circuit, enter Resonant Angular Frequency (ω_o), Capacitance at Vane Tips (C_v), Resonator Conductance (G_r) & Conductance of Cavity (G) and hit the calculate button. Here is how the Q-Factor of Loaded Resonator Circuit calculation can be explained with given input values -> 642.5234 = (55000000000*2.5E-12)/(0.0002+1.4E-05).

FAQ

What is Q-Factor of Loaded Resonator Circuit?

The Q-factor of loaded resonator circuit formula is defined as the quality factor or Q factor is a dimensionless parameter that describes how underdamped an oscillator or resonator is and is represented as Q_i = (ω_o*C_v)/(G_r+G) or Q Factor of Loaded Resonator Circuit = (Resonant Angular Frequency*Capacitance at Vane Tips)/(Resonator Conductance+Conductance of Cavity). Resonant Angular Frequency is the frequency at which a resonant system vibrates with maximum amplitude when it is excited by an external force, expressed in radians per second, 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, Resonator Conductance is the reciprocal of the resonator impedance and is often used to characterize the quality of a resonant cavity & 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 Q-Factor of Loaded Resonator Circuit?

The Q-factor of loaded resonator circuit formula is defined as the quality factor or Q factor is a dimensionless parameter that describes how underdamped an oscillator or resonator is is calculated using Q Factor of Loaded Resonator Circuit = (Resonant Angular Frequency*Capacitance at Vane Tips)/(Resonator Conductance+Conductance of Cavity). To calculate Q-Factor of Loaded Resonator Circuit, you need Resonant Angular Frequency (ω_o), Capacitance at Vane Tips (C_v), Resonator Conductance (G_r) & Conductance of Cavity (G). With our tool, you need to enter the respective value for Resonant Angular Frequency, Capacitance at Vane Tips, Resonator Conductance & 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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