True Value of Quality factor Calculator

✖Angular Frequency refers to the rate of change of angular displacement of an alternating current or voltage with respect to time.ⓘ Angular Frequency [ω]			+10% -10%
✖Total Inductance refers to the combined inductance of all inductors in a circuit, calculated either in series or in parallel, influencing the overall inductive reactance observed across the circuit.ⓘ Total Inductance [L_T]			+10% -10%
✖Total Resistance refers to the combined resistance of all resistors in a circuit, calculated either in series or in parallel, influencing the overall resistance observed across the circuit.ⓘ Total Resistance [R_T]			+10% -10%

✖Quality Factor True Value is the actual, precise measurement of the quality factor, representing the ratio of energy stored to energy dissipated per cycle in a resonant circuit.ⓘ True Value of Quality factor [Q_true]

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Formula

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True Value of Quality factor

Formula

`"Q"_{"true"} = ("ω"*"L"_{"T"})/"R"_{"T"}`

Example

`"7.75"=("31rad/s"*"1.5H")/"6Ω"`

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True Value of Quality factor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Quality Factor True Value = (Angular Frequency*Total Inductance)/Total Resistance
Q_true = (ω*L_T)/R_T
This formula uses 4 Variables

Variables Used

Quality Factor True Value - Quality Factor True Value is the actual, precise measurement of the quality factor, representing the ratio of energy stored to energy dissipated per cycle in a resonant circuit.
Angular Frequency - (Measured in Radian per Second) - Angular Frequency refers to the rate of change of angular displacement of an alternating current or voltage with respect to time.
Total Inductance - (Measured in Henry) - Total Inductance refers to the combined inductance of all inductors in a circuit, calculated either in series or in parallel, influencing the overall inductive reactance observed across the circuit.
Total Resistance - (Measured in Ohm) - Total Resistance refers to the combined resistance of all resistors in a circuit, calculated either in series or in parallel, influencing the overall resistance observed across the circuit.

STEP 1: Convert Input(s) to Base Unit

Angular Frequency: 31 Radian per Second --> 31 Radian per Second No Conversion Required
Total Inductance: 1.5 Henry --> 1.5 Henry No Conversion Required
Total Resistance: 6 Ohm --> 6 Ohm No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q_true = (ω*L_T)/R_T --> (31*1.5)/6

Evaluating ... ...

Q_true = 7.75

STEP 3: Convert Result to Output's Unit

7.75 --> No Conversion Required

FINAL ANSWER

7.75 <-- Quality Factor True Value

(Calculation completed in 00.004 seconds)

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Credits

Created by Nikita Suryawanshi

Vellore Institute of Technology (VIT), Vellore

Nikita Suryawanshi has created this Calculator and 100+ more calculators!

Verified by Payal Priya

Birsa Institute of Technology (BIT), Sindri

Payal Priya has verified this Calculator and 1900+ more calculators!

< 6 Q Meter Calculators

Measured Value of Quality Factor

Go Measured Quality Factor = (Angular Frequency*Total Inductance)/(Total Resistance+Shunt Resistance)

True Value of Quality factor

Go Quality Factor True Value = (Angular Frequency*Total Inductance)/Total Resistance

Value of Resistance

Go Total Resistance = (Angular Frequency*Total Inductance)/Measured Quality Factor

Value of distributed capacitor

Go Distributed Capacitance = (Tuning Capacitance 1-4*Tuning Capacitance 2)/3

Value of Inductance

Go Total Inductance = 1/(4*pi^2*Resonant Frequency^2*Total Capacitance)

Value of CT

Go Total Capacitance = Tuning Capacitance 1-Tuning Capacitance 2

True Value of Quality factor Formula

Quality Factor True Value = (Angular Frequency*Total Inductance)/Total Resistance
Q_true = (ω*L_T)/R_T

What is the working principle of the Q meter?

The working principle of Q meter is series resonant because the resonant exists within the circuit once the reactance of capacitance & reactance is of the same magnitude. They induce energy to oscillate in between the fields of electric & magnetic of the inductor & capacitor respectively.

How to Calculate True Value of Quality factor?

True Value of Quality factor calculator uses Quality Factor True Value = (Angular Frequency*Total Inductance)/Total Resistance to calculate the Quality Factor True Value, The True Value of Quality factor formula is defined as the actual, precise measurement of the quality factor, representing the ratio of energy stored to energy dissipated per cycle in a resonant circuit. Quality Factor True Value is denoted by Q_true symbol.

How to calculate True Value of Quality factor using this online calculator? To use this online calculator for True Value of Quality factor, enter Angular Frequency (ω), Total Inductance (L_T) & Total Resistance (R_T) and hit the calculate button. Here is how the True Value of Quality factor calculation can be explained with given input values -> 18.6 = (31*1.5)/6.

FAQ

What is True Value of Quality factor?

The True Value of Quality factor formula is defined as the actual, precise measurement of the quality factor, representing the ratio of energy stored to energy dissipated per cycle in a resonant circuit and is represented as Q_true = (ω*L_T)/R_T or Quality Factor True Value = (Angular Frequency*Total Inductance)/Total Resistance. Angular Frequency refers to the rate of change of angular displacement of an alternating current or voltage with respect to time, Total Inductance refers to the combined inductance of all inductors in a circuit, calculated either in series or in parallel, influencing the overall inductive reactance observed across the circuit & Total Resistance refers to the combined resistance of all resistors in a circuit, calculated either in series or in parallel, influencing the overall resistance observed across the circuit.

How to calculate True Value of Quality factor?

The True Value of Quality factor formula is defined as the actual, precise measurement of the quality factor, representing the ratio of energy stored to energy dissipated per cycle in a resonant circuit is calculated using Quality Factor True Value = (Angular Frequency*Total Inductance)/Total Resistance. To calculate True Value of Quality factor, you need Angular Frequency (ω), Total Inductance (L_T) & Total Resistance (R_T). With our tool, you need to enter the respective value for Angular Frequency, Total Inductance & Total Resistance 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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