External 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%
✖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%
✖Loaded Conductance is a measure of the ease with which a load, such as a circuit or a device, can conduct an electric current.ⓘ Loaded Conductance [G_L]			+10% -10%

✖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.ⓘ External Q-Factor [Q_ext]

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External Q-Factor Solution

STEP 0: Pre-Calculation Summary

Formula Used

External Q-Factor = (Capacitance at Vane Tips*Resonant Angular Frequency)/Loaded Conductance
Q_ext = (C_v*ω_o)/G_L
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

Q_ext = (C_v*ω_o)/G_L --> (2.5E-12*55000000000)/2.5E-05

Evaluating ... ...

Q_ext = 5500

STEP 3: Convert Result to Output's Unit

5500 --> No Conversion Required

FINAL ANSWER

5500 <-- External Q-Factor

(Calculation completed in 00.006 seconds)

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Created by Shobhit Dimri

Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

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< Q Factor Calculators

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Quality Factor of Cavity Resonator

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External Q-Factor Formula

LaTeX Go

External Q-Factor = (Capacitance at Vane Tips*Resonant Angular Frequency)/Loaded Conductance
Q_ext = (C_v*ω_o)/G_L

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 Q_ext 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 (C_v), Resonant Angular Frequency (ω_o) & Loaded Conductance (G_L) 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 Q_ext = (C_v*ω_o)/G_L 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 (C_v), Resonant Angular Frequency (ω_o) & Loaded Conductance (G_L). 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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