Quality Factor Calculator

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✖Angular Frequency is a steadily recurring phenomenon expressed in radians per second.ⓘ Angular Frequency [ω₀]			+10% -10%
✖Maximum Stored Energy refers to significant amounts of potential energy accumulated and confined within a medium, which can have damaging environmental impacts if released suddenly.ⓘ Maximum Stored Energy [E_max]			+10% -10%
✖Average Power Loss are wasteful energy caused by external factors or internal factors, and energy dissipated in the system.ⓘ Average Power Loss [P_avg]			+10% -10%

✖Quality Factor is a dimensionless parameter that describes how underdamped an oscillator or resonator is.ⓘ Quality Factor [Q]

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Formula

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Quality Factor

Formula

`"Q" = ("ω"_{"0"}*"E"_{"max"})/("P"_{"avg"})`

Example

`"6.9"=("5.75rad/s"*"0.48J")/("0.4W")`

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Quality Factor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Quality Factor = (Angular Frequency*Maximum Stored Energy)/(Average Power Loss)
Q = (ω₀*E_max)/(P_avg)
This formula uses 4 Variables

Variables Used

Quality Factor - Quality Factor is a dimensionless parameter that describes how underdamped an oscillator or resonator is.
Angular Frequency - (Measured in Radian per Second) - Angular Frequency is a steadily recurring phenomenon expressed in radians per second.
Maximum Stored Energy - (Measured in Joule) - Maximum Stored Energy refers to significant amounts of potential energy accumulated and confined within a medium, which can have damaging environmental impacts if released suddenly.
Average Power Loss - (Measured in Watt) - Average Power Loss are wasteful energy caused by external factors or internal factors, and energy dissipated in the system.

STEP 1: Convert Input(s) to Base Unit

Angular Frequency: 5.75 Radian per Second --> 5.75 Radian per Second No Conversion Required
Maximum Stored Energy: 0.48 Joule --> 0.48 Joule No Conversion Required
Average Power Loss: 0.4 Watt --> 0.4 Watt No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q = (ω₀*E_max)/(P_avg) --> (5.75*0.48)/(0.4)

Evaluating ... ...

Q = 6.9

STEP 3: Convert Result to Output's Unit

6.9 --> No Conversion Required

FINAL ANSWER

6.9 <-- Quality Factor

(Calculation completed in 00.004 seconds)

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Created by Sai Sudha Vani Priya Lanka

Dayananda Sagar University (DSU), Bengaluru, Karnataka, India-560100

Sai Sudha Vani Priya Lanka has created this Calculator and 10+ more calculators!

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< 17 Microwave Devices Calculators

Propagation Constant

Go Propagation Constant = Angular Frequency*(sqrt(Magnetic Permeability*Dielectric Permittivity))*(sqrt(1-((Cut-off Frequency/Frequency)^2)))

Attenuation for TEmn mode

Go Attenuation for the TEmn mode = (Conductivity*Intrinsic Impedance)/(2*sqrt(1-((Cut-off Frequency)/(Frequency))^2))

Attenuation for TMmn mode

Go Attenuation for the TMmn mode = ((Conductivity*Intrinsic Impedance)/2)*sqrt(1-(Cut-off Frequency/Frequency)^2)

Cut-off Frequency of Rectangular Waveguide

Go Cut-off Frequency = (1/(2*pi*sqrt(Magnetic Permeability*Dielectric Permittivity)))*Cut-off Wave Number

Surface Resistance of Guide Walls

Go Surface Resistance = sqrt((pi*Frequency*Magnetic Permeability)/(Conductivity))

Power Density of Spherical Wave

Go Power Density = (Power Transmitted*Transmitting Gain)/(4*pi*Distance between Antennas)

Wavelength for TEmn Modes

Go Wavelength for TEmn modes = (Wavelength)/(sqrt(1-(Cut-off Frequency/Frequency)^2))

Force Exerted on Particle

Go Force Exerted on Particle = (Charge of a Particle*Velocity of a Charged Particle)*Magnetic Flux Density

Cut-off Frequency of Circular Waveguide in Transverse Electric 11 Mode

Go Cut-off Frequency Circular Waveguide TE11 = ([c]*1.841)/(2*pi*Radius of Circular Waveguide)

Cut-off Frequency of Circular Waveguide in Transverse Magnetic 01 Mode

Go Cut-off Frequency Circular Waveguide TM01 = ([c]*2.405)/(2*pi*Radius of Circular Waveguide)

Characteristic Wave Impedance

Go Characteristic Wave Impedance = (Angular Frequency*Magnetic Permeability)/(Phase Constant)

Quality Factor

Go Quality Factor = (Angular Frequency*Maximum Stored Energy)/(Average Power Loss)

Maximum Stored Energy

Go Maximum Stored Energy = (Quality Factor*Average Power Loss)/Angular Frequency

Power Received by Antenna

Go Power Received by Antenna = Power Density of Antenna*Effective Area Antenna

Power Losses for TEM Mode

Go Power Losses for the TEM Mode = 2*Attenuation Constant*Transmitting Power

Critical Frequency for Vertical Incidence

Go Critical Frequency = 9*sqrt(Maximum Electron Density)

Phase Velocity of Rectangular Waveguide

Go Phase Velocity = Angular Frequency/Phase Constant

Quality Factor Formula

Quality Factor = (Angular Frequency*Maximum Stored Energy)/(Average Power Loss)
Q = (ω₀*E_max)/(P_avg)

What types of cavities are used for Q factor calculations?

There are two classes of cavities for Q factor calculations, low Q cavities and high Q cavities. A system with low quality factor (Q < 1⁄2) is said to be overdamped. Such a system doesn't oscillate at all, but when displaced from its equilibrium steady-state output it returns to it by exponential decay, approaching the steady state value asymptotically. A system with high quality factor (Q > 1⁄2) is said to be underdamped. Underdamped systems combine oscillation at a specific frequency with a decay of the amplitude of the signal.

How to Calculate Quality Factor?

Quality Factor calculator uses Quality Factor = (Angular Frequency*Maximum Stored Energy)/(Average Power Loss) to calculate the Quality Factor, Quality Factor is a dimensionless parameter that describes how underdamped an oscillator or resonator is. In summary, it is the ratio of the peak energy stored in the resonator during a period of oscillation to the energy lost per radian of the period or cycle. Quality Factor is denoted by Q symbol.

How to calculate Quality Factor using this online calculator? To use this online calculator for Quality Factor, enter Angular Frequency (ω₀), Maximum Stored Energy (E_max) & Average Power Loss (P_avg) and hit the calculate button. Here is how the Quality Factor calculation can be explained with given input values -> 6.9 = (5.75*0.48)/(0.4).

FAQ

What is Quality Factor?

Quality Factor is a dimensionless parameter that describes how underdamped an oscillator or resonator is. In summary, it is the ratio of the peak energy stored in the resonator during a period of oscillation to the energy lost per radian of the period or cycle and is represented as Q = (ω₀*E_max)/(P_avg) or Quality Factor = (Angular Frequency*Maximum Stored Energy)/(Average Power Loss). Angular Frequency is a steadily recurring phenomenon expressed in radians per second, Maximum Stored Energy refers to significant amounts of potential energy accumulated and confined within a medium, which can have damaging environmental impacts if released suddenly & Average Power Loss are wasteful energy caused by external factors or internal factors, and energy dissipated in the system.

How to calculate Quality Factor?

Quality Factor is a dimensionless parameter that describes how underdamped an oscillator or resonator is. In summary, it is the ratio of the peak energy stored in the resonator during a period of oscillation to the energy lost per radian of the period or cycle is calculated using Quality Factor = (Angular Frequency*Maximum Stored Energy)/(Average Power Loss). To calculate Quality Factor, you need Angular Frequency (ω₀), Maximum Stored Energy (E_max) & Average Power Loss (P_avg). With our tool, you need to enter the respective value for Angular Frequency, Maximum Stored Energy & Average Power Loss 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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