Modulation Index with respect to Power Solution

STEP 0: Pre-Calculation Summary
Formula Used
Modulation Index = sqrt(2*((Average Total Power of AM Wave/Average Carrier Power of AM Wave)-1))
μ = sqrt(2*((PT/Pc(avg))-1))
This formula uses 1 Functions, 3 Variables
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
Modulation Index - Modulation Index states the level of modulation that a carrier wave undergoes.
Average Total Power of AM Wave - (Measured in Watt) - The Average Total Power of AM Wave is the sum of the carrier power and sideband power.
Average Carrier Power of AM Wave - (Measured in Watt) - Average Carrier Power of AM Wave is the average power supplied to the antenna transmission line by a transmitter during one radio frequency cycle under conditions of no modulation.
STEP 1: Convert Input(s) to Base Unit
Average Total Power of AM Wave: 4.9 Watt --> 4.9 Watt No Conversion Required
Average Carrier Power of AM Wave: 4.59 Watt --> 4.59 Watt No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
μ = sqrt(2*((PT/Pc(avg))-1)) --> sqrt(2*((4.9/4.59)-1))
Evaluating ... ...
μ = 0.367527213581949
STEP 3: Convert Result to Output's Unit
0.367527213581949 --> No Conversion Required
FINAL ANSWER
0.367527213581949 0.367527 <-- Modulation Index
(Calculation completed in 00.020 seconds)

Credits

Created by Rachita C
BMS College Of Engineering (BMSCE), Banglore
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BMS College of Engineering (BMSCE), Bangalore
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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

Modulation Index with respect to Power Formula

Modulation Index = sqrt(2*((Average Total Power of AM Wave/Average Carrier Power of AM Wave)-1))
μ = sqrt(2*((PT/Pc(avg))-1))

What is significance of Modulation Index?

The modulation index in amplitude modulation (AM) is significant as it governs the degree of variation in the carrier signal's amplitude in response to the modulating signal. It directly influences signal quality, bandwidth occupancy, and power efficiency.

How to Calculate Modulation Index with respect to Power?

Modulation Index with respect to Power calculator uses Modulation Index = sqrt(2*((Average Total Power of AM Wave/Average Carrier Power of AM Wave)-1)) to calculate the Modulation Index, The Modulation Index with respect to Power formula is given by square root of twice the difference of the ratio of total power to the carrier power and 1. Modulation Index is denoted by μ symbol.

How to calculate Modulation Index with respect to Power using this online calculator? To use this online calculator for Modulation Index with respect to Power, enter Average Total Power of AM Wave (PT) & Average Carrier Power of AM Wave (Pc(avg)) and hit the calculate button. Here is how the Modulation Index with respect to Power calculation can be explained with given input values -> 0.367527 = sqrt(2*((4.9/4.59)-1)).

FAQ

What is Modulation Index with respect to Power?
The Modulation Index with respect to Power formula is given by square root of twice the difference of the ratio of total power to the carrier power and 1 and is represented as μ = sqrt(2*((PT/Pc(avg))-1)) or Modulation Index = sqrt(2*((Average Total Power of AM Wave/Average Carrier Power of AM Wave)-1)). The Average Total Power of AM Wave is the sum of the carrier power and sideband power & Average Carrier Power of AM Wave is the average power supplied to the antenna transmission line by a transmitter during one radio frequency cycle under conditions of no modulation.
How to calculate Modulation Index with respect to Power?
The Modulation Index with respect to Power formula is given by square root of twice the difference of the ratio of total power to the carrier power and 1 is calculated using Modulation Index = sqrt(2*((Average Total Power of AM Wave/Average Carrier Power of AM Wave)-1)). To calculate Modulation Index with respect to Power, you need Average Total Power of AM Wave (PT) & Average Carrier Power of AM Wave (Pc(avg)). With our tool, you need to enter the respective value for Average Total Power of AM Wave & Average Carrier Power of AM Wave and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Modulation Index?
In this formula, Modulation Index uses Average Total Power of AM Wave & Average Carrier Power of AM Wave. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Modulation Index = Amplitude of Modulating Signal/Amplitude of Carrier Signal
  • Modulation Index = Amplitude Sensitivity of Modulator*Amplitude of Modulating Signal
  • Modulation Index = (Maximum Amplitude of AM Wave-Minimum Amplitude of AM Wave)/(Maximum Amplitude of AM Wave+Minimum Amplitude of AM Wave)
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