External Q-Factor Solution

STEP 0: Pre-Calculation Summary
Formula Used
External Q-Factor = (Capacitance at Vane Tips*Resonant Angular Frequency)/Loaded Conductance
Qext = (Cv*ωo)/GL
This formula uses 4 Variables
Variables Used
External Q-Factor - External Q-factor is a measure of the energy stored per cycle in a resonant circuit or device, relative to the energy lost per cycle due to all forms of dissipation.
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.
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.
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.
STEP 1: Convert Input(s) to Base Unit
Capacitance at Vane Tips: 2.5 Picofarad --> 2.5E-12 Farad (Check conversion here)
Resonant Angular Frequency: 55000000000 Radian per Second --> 55000000000 Radian per Second No Conversion Required
Loaded Conductance: 2.5E-05 Siemens --> 2.5E-05 Siemens No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Qext = (Cvo)/GL --> (2.5E-12*55000000000)/2.5E-05
Evaluating ... ...
Qext = 5500
STEP 3: Convert Result to Output's Unit
5500 --> No Conversion Required
FINAL ANSWER
5500 <-- External 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

External Q-Factor Formula

External Q-Factor = (Capacitance at Vane Tips*Resonant Angular Frequency)/Loaded Conductance
Qext = (Cv*ωo)/GL

What are junctions ?

A microwave circuit consists of several microwave devices connected in some way to achieve the desired transmission of MW signal.

How to Calculate External Q-Factor?

External Q-Factor calculator uses External Q-Factor = (Capacitance at Vane Tips*Resonant Angular Frequency)/Loaded Conductance to calculate the External Q-Factor, External Q-Factor is a measure of the energy stored per cycle in a resonant circuit or device, relative to the energy lost per cycle due to all forms of dissipation, including radiation and coupling to other circuits. External Q-Factor is denoted by Qext symbol.

How to calculate External Q-Factor using this online calculator? To use this online calculator for External Q-Factor, enter Capacitance at Vane Tips (Cv), Resonant Angular Frequency o) & Loaded Conductance (GL) and hit the calculate button. Here is how the External Q-Factor calculation can be explained with given input values -> 5500 = (2.5E-12*55000000000)/2.5E-05.

FAQ

What is External Q-Factor?
External Q-Factor is a measure of the energy stored per cycle in a resonant circuit or device, relative to the energy lost per cycle due to all forms of dissipation, including radiation and coupling to other circuits and is represented as Qext = (Cvo)/GL or External Q-Factor = (Capacitance at Vane Tips*Resonant Angular Frequency)/Loaded Conductance. 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, 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 & Loaded Conductance is a measure of the ease with which a load, such as a circuit or a device, can conduct an electric current.
How to calculate External Q-Factor?
External Q-Factor is a measure of the energy stored per cycle in a resonant circuit or device, relative to the energy lost per cycle due to all forms of dissipation, including radiation and coupling to other circuits is calculated using External Q-Factor = (Capacitance at Vane Tips*Resonant Angular Frequency)/Loaded Conductance. To calculate External Q-Factor, you need Capacitance at Vane Tips (Cv), Resonant Angular Frequency o) & Loaded Conductance (GL). With our tool, you need to enter the respective value for Capacitance at Vane Tips, Resonant Angular Frequency & Loaded 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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