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Measured Value of Quality Factor Formula

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Measured Quality Factor is the value obtained from experimental measurements of a resonant circuit or device. Check FAQs

Q m = \frac{ω \cdot L T}{R T + R sh}

Q_m - Measured Quality Factor?ω - Angular Frequency?L_T - Total Inductance?R_T - Total Resistance?R_sh - Shunt Resistance?

Measured Value of Quality Factor Example

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Here is how the Measured Value of Quality Factor equation looks like with Values.

Here is how the Measured Value of Quality Factor equation looks like with Units.

Here is how the Measured Value of Quality Factor equation looks like.

7.7371 = \frac{31 \cdot 1.5}{6 + 0.01}

7.7371 = \frac{31rad/s \cdot 1.5H}{6Ω + 0.01Ω}

7.7371 = \frac{31 \cdot 1.5}{6 + 0.01}

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Measured Value of Quality Factor Solution

Follow our step by step solution on how to calculate Measured Value of Quality Factor?

FIRST Step Consider the formula

Q m = \frac{ω \cdot L T}{R T + R sh}

Next Step Substitute values of Variables

∴

Q m = \frac{31rad/s \cdot 1.5H}{6Ω + 0.01Ω}

Next Step Prepare to Evaluate

∴

Q m = \frac{31 \cdot 1.5}{6 + 0.01}

Next Step Evaluate

∴

Q m = 7.73710482529118

LAST Step Rounding Answer

∴

Q m = 7.7371

Measured Value of Quality Factor Formula Elements

Variables

Measured Quality Factor

Measured Quality Factor is the value obtained from experimental measurements of a resonant circuit or device.

Symbol: Q_m

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Measured Quality Factor

Angular Frequency

Angular Frequency refers to the rate of change of angular displacement of an alternating current or voltage with respect to time.

Symbol: ω

Measurement: Angular FrequencyUnit: rad/s

Note: Value should be greater than 0.

Formulas to find Angular Frequency

Total Inductance

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.

Symbol: L_T

Measurement: InductanceUnit: H

Note: Value should be greater than 0.

Formulas to find Total Inductance

Total Resistance

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.

Symbol: R_T

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Formulas to find Total Resistance

Shunt Resistance

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.

Symbol: R_sh

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Formulas to find Shunt Resistance

Other formulas in Q Meter category

Go True Value of Quality factor

Q true = \frac{ω \cdot L T}{R T}

Go Value of Inductance

L T = \frac{1}{4 \cdot π^{2} \cdot {f o}^{2} \cdot C T}

Go Value of Resistance

R T = \frac{ω \cdot L T}{Q m}

Go Value of distributed capacitor

C d = \frac{C 1 - 4 \cdot C 2}{3}

How to Evaluate Measured Value of Quality Factor?

Measured Value of Quality Factor evaluator uses Measured Quality Factor = (Angular Frequency*Total Inductance)/(Total Resistance+Shunt Resistance) to evaluate 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 evaluate Measured Value of Quality Factor using this online evaluator? To use this online evaluator 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.

FAQs on Measured Value of Quality Factor

What is the formula to find Measured Value of Quality Factor?

The formula of Measured Value of Quality Factor is expressed as Measured Quality Factor = (Angular Frequency*Total Inductance)/(Total Resistance+Shunt Resistance). Here is an example- 18.5259 = (31*1.5)/(6+0.01).

How to calculate Measured Value of Quality Factor?

With Angular Frequency (ω), Total Inductance (L_T), Total Resistance (R_T) & Shunt Resistance (R_sh) we can find Measured Value of Quality Factor using the formula - Measured Quality Factor = (Angular Frequency*Total Inductance)/(Total Resistance+Shunt Resistance).

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Measured Value of Quality Factor Formula

Measured Value of Quality Factor Example

Measured Value of Quality Factor Solution

Measured Value of Quality Factor Formula Elements

Other formulas in Q Meter category

How to Evaluate Measured Value of Quality Factor?

FAQs on Measured Value of Quality Factor

Variable Name