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Quality Factor of Tuned Circuit Formula

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Quality Factor of Tuned Circuit is a measure of its efficiency in storing energy in the magnetic field. Check FAQs

Q tc = \frac{2 \cdot π \cdot ω r \cdot L}{R}

Q_tc - Quality Factor of Tuned Circuit?ω_r - Resonant Frequency?L - Inductance?R - Resistance?π - Archimedes' constant?

Quality Factor of Tuned Circuit Example

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Here is how the Quality Factor of Tuned Circuit equation looks like with Values.

Here is how the Quality Factor of Tuned Circuit equation looks like with Units.

Here is how the Quality Factor of Tuned Circuit equation looks like.

3.3741 = \frac{2 \cdot 3.1416 \cdot 11.8 \cdot 5.7}{125.25}

3.3741 = \frac{2 \cdot 3.1416 \cdot 11.8Hz \cdot 5.7H}{125.25Ω}

3.3741 = \frac{2 \cdot 3.1416 \cdot 11.8 \cdot 5.7}{125.25}

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Quality Factor of Tuned Circuit Solution

Follow our step by step solution on how to calculate Quality Factor of Tuned Circuit?

FIRST Step Consider the formula

Q tc = \frac{2 \cdot π \cdot ω r \cdot L}{R}

Next Step Substitute values of Variables

∴

Q tc = \frac{2 \cdot π \cdot 11.8Hz \cdot 5.7H}{125.25Ω}

Next Step Substitute values of Constants

∴

Q tc = \frac{2 \cdot 3.1416 \cdot 11.8Hz \cdot 5.7H}{125.25Ω}

Next Step Prepare to Evaluate

∴

Q tc = \frac{2 \cdot 3.1416 \cdot 11.8 \cdot 5.7}{125.25}

Next Step Evaluate

∴

Q tc = 3.37410813381955

LAST Step Rounding Answer

∴

Q tc = 3.3741

Quality Factor of Tuned Circuit Formula Elements

Variables

Constants

Quality Factor of Tuned Circuit

Quality Factor of Tuned Circuit is a measure of its efficiency in storing energy in the magnetic field.

Symbol: Q_tc

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Quality Factor of Tuned Circuit

Resonant Frequency

Resonant Frequency is the frequency at which a system vibrates or oscillates in response to an external force.

Symbol: ω_r

Measurement: FrequencyUnit: Hz

Note: Value should be greater than 0.

Formulas to find Resonant Frequency

Inductance

Inductance is the tendency of an electric conductor to oppose a change in the electric current flowing through it.

Symbol: L

Measurement: InductanceUnit: H

Note: Value should be greater than 0.

Formulas to find Inductance

Resistance

Resistance refers to the opposition to the flow of an alternating current (AC) in a circuit.

Symbol: R

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Formulas to find Resistance

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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How to Evaluate Quality Factor of Tuned Circuit?

Quality Factor of Tuned Circuit evaluator uses Quality Factor of Tuned Circuit = (2*pi*Resonant Frequency*Inductance)/Resistance to evaluate the Quality Factor of Tuned Circuit, Quality Factor of Tuned Circuit relates the maximum or peak energy stored in the circuit (the reactance) to the energy dissipated (the resistance) during each cycle of oscillation. Quality Factor of Tuned Circuit is denoted by Q_tc symbol.

How to evaluate Quality Factor of Tuned Circuit using this online evaluator? To use this online evaluator for Quality Factor of Tuned Circuit, enter Resonant Frequency (ω_r), Inductance (L) & Resistance (R) and hit the calculate button.

FAQs on Quality Factor of Tuned Circuit

What is the formula to find Quality Factor of Tuned Circuit?

The formula of Quality Factor of Tuned Circuit is expressed as Quality Factor of Tuned Circuit = (2*pi*Resonant Frequency*Inductance)/Resistance. Here is an example- 3.380856 = (2*pi*11.8*5.7)/125.25.

How to calculate Quality Factor of Tuned Circuit?

With Resonant Frequency (ω_r), Inductance (L) & Resistance (R) we can find Quality Factor of Tuned Circuit using the formula - Quality Factor of Tuned Circuit = (2*pi*Resonant Frequency*Inductance)/Resistance. This formula also uses Archimedes' constant .

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Quality Factor of Tuned Circuit Formula

Quality Factor of Tuned Circuit Example

Quality Factor of Tuned Circuit Solution

Quality Factor of Tuned Circuit Formula Elements

Other formulas in Fundamentals of Analog Communications category

How to Evaluate Quality Factor of Tuned Circuit?

FAQs on Quality Factor of Tuned Circuit

Variable Name