Minimum Amplitude of AM Wave Solution

STEP 0: Pre-Calculation Summary
Formula Used
Minimum Amplitude of AM Wave = Amplitude of Carrier Signal*(1-Modulation Index^2)
Amin = Ac*(1-μ^2)
This formula uses 3 Variables
Variables Used
Minimum Amplitude of AM Wave - (Measured in Volt) - Minimum Amplitude Of AM Wave is the minimum amount of displacement of a particle on the medium from its rest position.
Amplitude of Carrier Signal - (Measured in Volt) - Amplitude of Carrier Signal is varied in accordance with the instantaneous amplitude of the modulating signal. The modulating signal is the signal that contains the information to be transmitted.
Modulation Index - Modulation Index states the level of modulation that a carrier wave undergoes.
STEP 1: Convert Input(s) to Base Unit
Amplitude of Carrier Signal: 17 Volt --> 17 Volt No Conversion Required
Modulation Index: 0.36 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Amin = Ac*(1-μ^2) --> 17*(1-0.36^2)
Evaluating ... ...
Amin = 14.7968
STEP 3: Convert Result to Output's Unit
14.7968 Volt --> No Conversion Required
FINAL ANSWER
14.7968 Volt <-- Minimum Amplitude of AM Wave
(Calculation completed in 00.004 seconds)

Credits

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Created by Rachita C
BMS College Of Engineering (BMSCE), Banglore
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Verified by Saiju Shah
Jayawantrao Sawant College of Engineering (JSCOE), Pune
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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

Minimum Amplitude of AM Wave Formula

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

How to calculate Minimum Amplitude when Maximum Amplitude and Modulation Index values are given?

In case when Maximum Amplitude and Modulation Index values are given we can obtain Minimum Amplitude by rearranging the given formula below;
μ = Amax​+Amin​ / Amax​−Amin​​
This gives the value of Minimum Amplitude of AM Wave(Amin).

How to Calculate Minimum Amplitude of AM Wave?

Minimum Amplitude of AM Wave calculator uses Minimum Amplitude of AM Wave = Amplitude of Carrier Signal*(1-Modulation Index^2) to calculate the Minimum Amplitude of AM Wave, The Minimum Amplitude of AM Wave is the minimum amount of displacement of a particle on the medium from its rest position. Minimum Amplitude of AM Wave is denoted by Amin symbol.

How to calculate Minimum Amplitude of AM Wave using this online calculator? To use this online calculator for Minimum Amplitude of AM Wave, enter Amplitude of Carrier Signal (Ac) & Modulation Index (μ) and hit the calculate button. Here is how the Minimum Amplitude of AM Wave calculation can be explained with given input values -> 14.7968 = 17*(1-0.36^2).

FAQ

What is Minimum Amplitude of AM Wave?
The Minimum Amplitude of AM Wave is the minimum amount of displacement of a particle on the medium from its rest position and is represented as Amin = Ac*(1-μ^2) or Minimum Amplitude of AM Wave = Amplitude of Carrier Signal*(1-Modulation Index^2). Amplitude of Carrier Signal is varied in accordance with the instantaneous amplitude of the modulating signal. The modulating signal is the signal that contains the information to be transmitted & Modulation Index states the level of modulation that a carrier wave undergoes.
How to calculate Minimum Amplitude of AM Wave?
The Minimum Amplitude of AM Wave is the minimum amount of displacement of a particle on the medium from its rest position is calculated using Minimum Amplitude of AM Wave = Amplitude of Carrier Signal*(1-Modulation Index^2). To calculate Minimum Amplitude of AM Wave, you need Amplitude of Carrier Signal (Ac) & Modulation Index (μ). With our tool, you need to enter the respective value for Amplitude of Carrier Signal & Modulation Index 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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