Measured 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%
✖Shunt Resistance is a resistor connected in parallel with a component or circuit to divert current and thereby affect the overall current flow or voltage measurement.ⓘ Shunt Resistance [R_sh]			+10% -10%

✖Measured Quality Factor is the value obtained from experimental measurements of a resonant circuit or device.ⓘ Measured Value of Quality Factor [Q_m]

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Formula

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Measured Value of Quality Factor

Formula

`"Q"_{"m"} = ("ω"*"L"_{"T"})/("R"_{"T"}+"R"_{"sh"})`

Example

`"7.737105"=("31rad/s"*"1.5H")/("6Ω"+"0.01Ω")`

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Measured Value of Quality Factor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Measured Quality Factor = (Angular Frequency*Total Inductance)/(Total Resistance+Shunt Resistance)
Q_m = (ω*L_T)/(R_T+R_sh)
This formula uses 5 Variables

Variables Used

Measured Quality Factor - Measured Quality Factor is the value obtained from experimental measurements of a resonant circuit or device.
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.
Shunt Resistance - (Measured in Ohm) - Shunt Resistance is a resistor connected in parallel with a component or circuit to divert current and thereby affect the overall current flow or voltage measurement.

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
Shunt Resistance: 0.01 Ohm --> 0.01 Ohm No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q_m = (ω*L_T)/(R_T+R_sh) --> (31*1.5)/(6+0.01)

Evaluating ... ...

Q_m = 7.73710482529118

STEP 3: Convert Result to Output's Unit

7.73710482529118 --> No Conversion Required

FINAL ANSWER

7.73710482529118 ≈ 7.737105 <-- Measured Quality Factor

(Calculation completed in 00.004 seconds)

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Created by Nikita Suryawanshi

Vellore Institute of Technology (VIT), Vellore

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< 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

Measured Value of Quality Factor Formula

Measured Quality Factor = (Angular Frequency*Total Inductance)/(Total Resistance+Shunt Resistance)
Q_m = (ω*L_T)/(R_T+R_sh)

What is the working principle of the Q meter?

The working principle of the 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 Measured Value of Quality Factor?

Measured Value of Quality Factor calculator uses Measured Quality Factor = (Angular Frequency*Total Inductance)/(Total Resistance+Shunt Resistance) to calculate the Measured Quality Factor, The Measured Value of Quality Factor formula is defined as the value obtained from experimental measurements of a resonant circuit or device, indicating its efficiency in storing and transferring energy compared to the energy dissipated over one cycle of operation. Measured Quality Factor is denoted by Q_m symbol.

How to calculate Measured Value of Quality Factor using this online calculator? To use this online calculator for Measured Value of Quality Factor, enter Angular Frequency (ω), Total Inductance (L_T), Total Resistance (R_T) & Shunt Resistance (R_sh) and hit the calculate button. Here is how the Measured Value of Quality Factor calculation can be explained with given input values -> 18.5259 = (31*1.5)/(6+0.01).

FAQ

What is Measured Value of Quality Factor?

The Measured Value of Quality Factor formula is defined as the value obtained from experimental measurements of a resonant circuit or device, indicating its efficiency in storing and transferring energy compared to the energy dissipated over one cycle of operation and is represented as Q_m = (ω*L_T)/(R_T+R_sh) or Measured Quality Factor = (Angular Frequency*Total Inductance)/(Total Resistance+Shunt 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 & Shunt Resistance is a resistor connected in parallel with a component or circuit to divert current and thereby affect the overall current flow or voltage measurement.

How to calculate Measured Value of Quality Factor?

The Measured Value of Quality Factor formula is defined as the value obtained from experimental measurements of a resonant circuit or device, indicating its efficiency in storing and transferring energy compared to the energy dissipated over one cycle of operation is calculated using Measured Quality Factor = (Angular Frequency*Total Inductance)/(Total Resistance+Shunt Resistance). To calculate Measured Value of Quality Factor, you need Angular Frequency (ω), Total Inductance (L_T), Total Resistance (R_T) & Shunt Resistance (R_sh). With our tool, you need to enter the respective value for Angular Frequency, Total Inductance, Total Resistance & Shunt 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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