Quality Factor of AM Receiver Solution

STEP 0: Pre-Calculation Summary
Formula Used
Quality Factor = 1/(2*pi)*sqrt(Inductance/Capacitance)
Q = 1/(2*pi)*sqrt(L/C)
This formula uses 1 Constants, 1 Functions, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Quality Factor - Quality Factor is a dimensionless parameter that measures the receiver's ability to discriminate between signals at different frequencies.
Inductance - (Measured in Henry) - Inductance is the tendency of an electric conductor to oppose a change in the electric current flowing through it.
Capacitance - (Measured in Farad) - Capacitance is the ratio of the amount of electric charge stored on a conductor to a difference in electric potential.
STEP 1: Convert Input(s) to Base Unit
Inductance: 5.7 Henry --> 5.7 Henry No Conversion Required
Capacitance: 3 Farad --> 3 Farad No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Q = 1/(2*pi)*sqrt(L/C) --> 1/(2*pi)*sqrt(5.7/3)
Evaluating ... ...
Q = 0.219379949471483
STEP 3: Convert Result to Output's Unit
0.219379949471483 --> No Conversion Required
FINAL ANSWER
0.219379949471483 0.21938 <-- Quality Factor
(Calculation completed in 00.004 seconds)

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VIT University (VIT), Chennai
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18 Amplitude Modulation Characteristics Calculators

Pre Detection Signal to Noise Ratio of AM
​ Go Pre Detection SNR of SSB = (Amplitude of Carrier Signal^2*(1+Amplitude Sensitivity of Modulator^2*Total Power))/(2*Noise Density*Transmission Bandwidth)
Post Detection Signal to Noise Ratio of AM
​ Go Post Detection SNR of AM = (Amplitude of Carrier Signal^2*Amplitude Sensitivity of Modulator^2*Total Power)/(2*Noise Density*Transmission Bandwidth)
Coupling Factor of AM Receiver
​ Go Coupling Factor = (Image Frequency/Radio Frequency)-(Radio Frequency/Image Frequency)
Phase Deviation of AM Receiver
​ Go Phase Deviation = Proportionality Constant*Amplitude of Modulating Signal*Modulating Signal Frequency
Quality Factor of AM Receiver
​ Go Quality Factor = 1/(2*pi)*sqrt(Inductance/Capacitance)
Total Current of AM Wave
​ Go Total Current of AM Wave = Carrier Current*sqrt(1+((Modulation Index^2)/2))
Total Power of AM wave
​ Go Total Power = Carrier Power+Upper Sideband Power+Lower Sideband Power
Magnitude of Modulating Signal
​ Go Modulating Signal Magnitude = (Maximum Amplitude of AM Wave-Minimum Amplitude of AM Wave)/2
Maximum Amplitude of AM Wave
​ Go Maximum Amplitude of AM Wave = Amplitude of Carrier Signal*(1+Modulation Index^2)
Minimum Amplitude of AM Wave
​ Go Minimum Amplitude of AM Wave = Amplitude of Carrier Signal*(1-Modulation Index^2)
Amplitude of Each Sideband
​ Go Amplitude of each Sideband = (Modulation Index*Amplitude of Carrier Signal)/2
Image Frequency Bandwidth of AM Receiver
​ Go Image Frequency Bandwidth = Radio Frequency Bandwidth/Bandwidth Improvement
Radio Frequency Bandwidth of AM Receiver
​ Go Radio Frequency Bandwidth = Bandwidth Improvement*Image Frequency Bandwidth
Bandwidth Improvement of AM Receiver
​ Go Bandwidth Improvement = Radio Frequency Bandwidth/Image Frequency Bandwidth
Local Oscillation Frequency of AM Receiver
​ Go Local Oscillation Frequency = Radio Frequency+Intermediate Frequency
Average Total Power of AM Wave
​ Go Total Power = Carrier Power*(1+(Modulation Index^2)/2)
Amplitude Sensitivity of Modulator
​ Go Amplitude Sensitivity of Modulator = 1/Amplitude of Carrier Signal
Bandwidth of AM wave
​ Go Bandwidth of AM Wave = 2*Maximum Frequency

Quality Factor of AM Receiver Formula

Quality Factor = 1/(2*pi)*sqrt(Inductance/Capacitance)
Q = 1/(2*pi)*sqrt(L/C)

Why is Q factor important for AM receivers?

Q factor is important for AM receivers because it affects the selectivity of the receiver. A higher Q factor will result in a more selective receiver, which will be better able to reject unwanted signals.

How to Calculate Quality Factor of AM Receiver?

Quality Factor of AM Receiver calculator uses Quality Factor = 1/(2*pi)*sqrt(Inductance/Capacitance) to calculate the Quality Factor, The Quality Factor of AM Receiver formula is defined as ratio of the energy stored in the tuned circuit to the energy lost in one cycle of oscillation. It is a measure of the selectivity and sensitivity of the receiver. Quality Factor is denoted by Q symbol.

How to calculate Quality Factor of AM Receiver using this online calculator? To use this online calculator for Quality Factor of AM Receiver, enter Inductance (L) & Capacitance (C) and hit the calculate button. Here is how the Quality Factor of AM Receiver calculation can be explained with given input values -> 0.021938 = 1/(2*pi)*sqrt(5.7/3).

FAQ

What is Quality Factor of AM Receiver?
The Quality Factor of AM Receiver formula is defined as ratio of the energy stored in the tuned circuit to the energy lost in one cycle of oscillation. It is a measure of the selectivity and sensitivity of the receiver and is represented as Q = 1/(2*pi)*sqrt(L/C) or Quality Factor = 1/(2*pi)*sqrt(Inductance/Capacitance). Inductance is the tendency of an electric conductor to oppose a change in the electric current flowing through it & Capacitance is the ratio of the amount of electric charge stored on a conductor to a difference in electric potential.
How to calculate Quality Factor of AM Receiver?
The Quality Factor of AM Receiver formula is defined as ratio of the energy stored in the tuned circuit to the energy lost in one cycle of oscillation. It is a measure of the selectivity and sensitivity of the receiver is calculated using Quality Factor = 1/(2*pi)*sqrt(Inductance/Capacitance). To calculate Quality Factor of AM Receiver, you need Inductance (L) & Capacitance (C). With our tool, you need to enter the respective value for Inductance & Capacitance 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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