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Modulation Index with respect to Power Formula

GoModulation Index Formula

GoModulation Index with respect to Amplitude Sensitivity Formula

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Modulation Index states the level of modulation that a carrier wave undergoes. Check FAQs

μ = \sqrt{2 \cdot ((\frac{P T}{P c(avg)}) - 1)}

μ - Modulation Index?P_T - Average Total Power of AM Wave?P_c(avg) - Average Carrier Power of AM Wave?

Modulation Index with respect to Power Example

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Here is how the Modulation Index with respect to Power equation looks like with Values.

Here is how the Modulation Index with respect to Power equation looks like with Units.

Here is how the Modulation Index with respect to Power equation looks like.

0.3675 = \sqrt{2 \cdot ((\frac{4.9}{4.59}) - 1)}

0.3675 = \sqrt{2 \cdot ((\frac{4.9W}{4.59W}) - 1)}

0.3675 = \sqrt{2 \cdot ((\frac{4.9}{4.59}) - 1)}

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Modulation Index with respect to Power Solution

Follow our step by step solution on how to calculate Modulation Index with respect to Power?

FIRST Step Consider the formula

μ = \sqrt{2 \cdot ((\frac{P T}{P c(avg)}) - 1)}

Next Step Substitute values of Variables

∴

μ = \sqrt{2 \cdot ((\frac{4.9W}{4.59W}) - 1)}

Next Step Prepare to Evaluate

∴

μ = \sqrt{2 \cdot ((\frac{4.9}{4.59}) - 1)}

Next Step Evaluate

∴

μ = 0.367527213581949

LAST Step Rounding Answer

∴

μ = 0.3675

Modulation Index with respect to Power Formula Elements

Variables

Functions

Modulation Index

Modulation Index states the level of modulation that a carrier wave undergoes.

Symbol: μ

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Modulation Index

Average Total Power of AM Wave

The Average Total Power of AM Wave is the sum of the carrier power and sideband power.

Symbol: P_T

Measurement: PowerUnit: W

Note: Value should be greater than 0.

Formulas to find Average Total Power of AM Wave

Average Carrier Power of AM Wave

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.

Symbol: P_c(avg)

Measurement: PowerUnit: W

Note: Value should be greater than 0.

Formulas to find Average Carrier Power of AM Wave

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.

Syntax: sqrt(Number)

Other Formulas to find Modulation Index

Go Modulation Index

μ = \frac{A m}{A c}

Go Modulation Index with respect to Amplitude Sensitivity

μ = K a \cdot A m

Go Modulation Index with respect to Maximum and Minimum Amplitude

μ = \frac{A max - A min}{A max + A min}

Other formulas in Fundamentals of Analog Communications category

Go Crest Factor

CF = \frac{X peak}{X rms}

Go Transmission Efficiency with respect to Modulation Index

η am = \frac{μ^{2}}{2 + μ^{2}}

Go Intermediate Frequency

f im = (f lo - F RF)

Go Image Frequency

f img = F RF + (2 \cdot f im)

How to Evaluate Modulation Index with respect to Power?

Modulation Index with respect to Power evaluator uses Modulation Index = sqrt(2*((Average Total Power of AM Wave/Average Carrier Power of AM Wave)-1)) to evaluate 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 evaluate Modulation Index with respect to Power using this online evaluator? To use this online evaluator for Modulation Index with respect to Power, enter Average Total Power of AM Wave (P_T) & Average Carrier Power of AM Wave (P_c(avg)) and hit the calculate button.

FAQs on Modulation Index with respect to Power

What is the formula to find Modulation Index with respect to Power?

The formula of Modulation Index with respect to Power is expressed as Modulation Index = sqrt(2*((Average Total Power of AM Wave/Average Carrier Power of AM Wave)-1)). Here is an example- 0.367527 = sqrt(2*((4.9/4.59)-1)).

How to calculate Modulation Index with respect to Power?

With Average Total Power of AM Wave (P_T) & Average Carrier Power of AM Wave (P_c(avg)) we can find Modulation Index with respect to Power using the formula - Modulation Index = sqrt(2*((Average Total Power of AM Wave/Average Carrier Power of AM Wave)-1)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Modulation Index?

Here are the different ways to Calculate Modulation Index-

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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Modulation Index with respect to Power Formula

​GoModulation Index Formula

​GoModulation Index with respect to Amplitude Sensitivity Formula

Modulation Index with respect to Power Example

Modulation Index with respect to Power Solution

Modulation Index with respect to Power Formula Elements

Other Formulas to find Modulation Index

Other formulas in Fundamentals of Analog Communications category

How to Evaluate Modulation Index with respect to Power?

FAQs on Modulation Index with respect to Power

Variable Name

GoModulation Index Formula

GoModulation Index with respect to Amplitude Sensitivity Formula