Quality Factor of Tuned Circuit Calculator

✖Resonant Frequency is the frequency at which a system vibrates or oscillates in response to an external force.ⓘ Resonant Frequency [ω_r]			+10% -10%
✖Inductance is the tendency of an electric conductor to oppose a change in the electric current flowing through it.ⓘ Inductance [L]			+10% -10%
✖Resistance refers to the opposition to the flow of an alternating current (AC) in a circuit.ⓘ Resistance [R]			+10% -10%

✖Quality Factor of Tuned Circuit is a measure of its efficiency in storing energy in the magnetic field.ⓘ Quality Factor of Tuned Circuit [Q_tc]

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Quality Factor of Tuned Circuit Solution

STEP 0: Pre-Calculation Summary

Formula Used

Quality Factor of Tuned Circuit = (2*pi*Resonant Frequency*Inductance)/Resistance
Q_tc = (2*pi*ω_r*L)/R
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Quality Factor of Tuned Circuit - Quality Factor of Tuned Circuit is a measure of its efficiency in storing energy in the magnetic field.
Resonant Frequency - (Measured in Hertz) - Resonant Frequency is the frequency at which a system vibrates or oscillates in response to an external force.
Inductance - (Measured in Henry) - Inductance is the tendency of an electric conductor to oppose a change in the electric current flowing through it.
Resistance - (Measured in Ohm) - Resistance refers to the opposition to the flow of an alternating current (AC) in a circuit.

STEP 1: Convert Input(s) to Base Unit

Resonant Frequency: 11.8 Hertz --> 11.8 Hertz No Conversion Required
Inductance: 5.7 Henry --> 5.7 Henry No Conversion Required
Resistance: 125.25 Ohm --> 125.25 Ohm No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q_tc = (2*pi*ω_r*L)/R --> (2*pi*11.8*5.7)/125.25

Evaluating ... ...

Q_tc = 3.37410813381955

STEP 3: Convert Result to Output's Unit

3.37410813381955 --> No Conversion Required

FINAL ANSWER

3.37410813381955 ≈ 3.374108 <-- Quality Factor of Tuned Circuit

(Calculation completed in 00.004 seconds)

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< Fundamentals of Analog Communications Calculators

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Image Frequency

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Crest Factor

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Quality Factor of Tuned Circuit Formula

LaTeX Go

Quality Factor of Tuned Circuit = (2*pi*Resonant Frequency*Inductance)/Resistance
Q_tc = (2*pi*ω_r*L)/R

Why is Quality factor important?

The Q or quality factor is a dimensionless number and it describes the damping in the circuit. It also provides an indication of the resonator's bandwidth relative to its centre frequency.

How to Calculate Quality Factor of Tuned Circuit?

Quality Factor of Tuned Circuit calculator uses Quality Factor of Tuned Circuit = (2*pi*Resonant Frequency*Inductance)/Resistance to calculate 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 calculate Quality Factor of Tuned Circuit using this online calculator? To use this online calculator for Quality Factor of Tuned Circuit, enter Resonant Frequency (ω_r), Inductance (L) & Resistance (R) and hit the calculate button. Here is how the Quality Factor of Tuned Circuit calculation can be explained with given input values -> 3.380856 = (2*pi*11.8*5.7)/125.25.

FAQ

What is 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 and is represented as Q_tc = (2*pi*ω_r*L)/R or Quality Factor of Tuned Circuit = (2*pi*Resonant Frequency*Inductance)/Resistance. Resonant Frequency is the frequency at which a system vibrates or oscillates in response to an external force, Inductance is the tendency of an electric conductor to oppose a change in the electric current flowing through it & Resistance refers to the opposition to the flow of an alternating current (AC) in a circuit.

How to calculate 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 is calculated using Quality Factor of Tuned Circuit = (2*pi*Resonant Frequency*Inductance)/Resistance. To calculate Quality Factor of Tuned Circuit, you need Resonant Frequency (ω_r), Inductance (L) & Resistance (R). With our tool, you need to enter the respective value for Resonant Frequency, Inductance & 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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