Quality Factor of Tuned Circuit Calculator

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Fundamentals of Analog Communications

Amplitude Modulation Characteristics

Analog Noise and Power Analysis

DSBSC Modulation

Frequency Modulation

Sideband and Frequency Modulation

✖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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Formula

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Quality Factor of Tuned Circuit

Formula

`"Q"_{"tc"} = (2*pi*"ω"_{"r"}*"L")/"R"`

Example

`"3.374108"=(2*pi*"11.8Hz"*"5.7H")/"125.25Ω"`

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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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< 24 Fundamentals of Analog Communications Calculators

Modulation Index with respect to Maximum and Minimum Amplitude

Go Modulation Index = (Maximum Amplitude of AM Wave-Minimum Amplitude of AM Wave)/(Maximum Amplitude of AM Wave+Minimum Amplitude of AM Wave)

Image Rejection Ratio

Go Image Rejection Ratio = (Image Frequency/Received Signal Frequency)-(Received Signal Frequency/Image Frequency)

Phase Constant of Distortion Less Line

Go Phase Constant of Distortion Less Line = Angular Velocity*sqrt(Inductance*Capacitance)

Quality Factor of Tuned Circuit

Go Quality Factor of Tuned Circuit = (2*pi*Resonant Frequency*Inductance)/Resistance

Modulation Index with respect to Power

Go Modulation Index = sqrt(2*((Average Total Power of AM Wave/Average Carrier Power of AM Wave)-1))

Cyclic Frequency of Superheterodyne Receiver

Go Cyclic Frequency = 1/(2*pi*sqrt(Inductance*Capacitance))

Rejection Ratio

Go Rejection Ratio = sqrt(1+(Quality Factor of Tuned Circuit^2*Image Rejection Ratio^2))

Image Frequency Rejection Ratio of Superheterodyne Receiver

Go Image Frequency Rejection Ratio = sqrt(1+(Quality Factor)^2*(Coupling Factor)^2)

Phase Velocity of Distortion Less Line

Go Phase Velocity of Distortion Less Line = 1/sqrt(Inductance*Capacitance)

Amplitude of Carrier Signal

Go Amplitude of Carrier Signal = (Maximum Amplitude of AM Wave+Minimum Amplitude of AM Wave)/2

Modulation Index with respect to Amplitude Sensitivity

Go Modulation Index = Amplitude Sensitivity of Modulator*Amplitude of Modulating Signal

Maximum Amplitude

Go Maximum Amplitude of AM Wave = Amplitude of Carrier Signal*(1+Modulation Index^2)

Minimum Amplitude

Go Minimum Amplitude of AM Wave = Amplitude of Carrier Signal*(1-Modulation Index^2)

Intermediate Frequency

Go Intermediate Frequency = (Local Oscillation Frequency-Received Signal Frequency)

Transmission Efficiency with respect to Modulation Index

Go Transmission Efficiency of AM Wave = Modulation Index^2/(2+Modulation Index^2)

Modulation Index

Go Modulation Index = Amplitude of Modulating Signal/Amplitude of Carrier Signal

Bandwidth of Tuned Circuit

Go Tuned Circuit Bandwidth = Resonant Frequency/Quality Factor of Tuned Circuit

Deviation Ratio

Go Deviation Ratio = Maximum Frequency Deviation/Maximum Modulating Frequency

Image Frequency

Go Image Frequency = Received Signal Frequency+(2*Intermediate Frequency)

Carrier Frequency

Go Carrier Frequency = Angular Frequency of Modulating Signal/(2*pi)

Carrier Power

Go Carrier Power = (Amplitude of Carrier Signal^2)/(2*Resistance)

Crest Factor

Go Crest Factor = Peak Value of Signal/RMS Value of Signal

Figure of Merit of Superheterodyne Receiver

Go Figure of Merit = 1/Noise Figure

Noise Figure of Superheterodyne Receiver

Go Noise Figure = 1/Figure of Merit

Quality Factor of Tuned Circuit Formula

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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