Total Power of AM wave Solution

STEP 0: Pre-Calculation Summary
Formula Used
Total Power = Carrier Power+Upper Sideband Power+Lower Sideband Power
Pt = Pc+Pusb+Plsb
This formula uses 4 Variables
Variables Used
Total Power - (Measured in Watt) - Total Power is the amount of energy liberated per second in an analog signal.
Carrier Power - (Measured in Watt) - Carrier Power is the power dissipated by a carrier modulating wave.
Upper Sideband Power - (Measured in Watt) - Upper Sideband Power is a type of radio communication in which the carrier frequency is placed above audio frequency, allowing for higher data transmission rates.
Lower Sideband Power - (Measured in Watt) - Lower sideband power is the power which is lower than the carrier power during the modulation process.
STEP 1: Convert Input(s) to Base Unit
Carrier Power: 1.156 Watt --> 1.156 Watt No Conversion Required
Upper Sideband Power: 0.037 Watt --> 0.037 Watt No Conversion Required
Lower Sideband Power: 0.37454 Watt --> 0.37454 Watt No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Pt = Pc+Pusb+Plsb --> 1.156+0.037+0.37454
Evaluating ... ...
Pt = 1.56754
STEP 3: Convert Result to Output's Unit
1.56754 Watt --> No Conversion Required
FINAL ANSWER
1.56754 Watt <-- Total Power
(Calculation completed in 00.004 seconds)

Credits

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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

Total Power of AM wave Formula

Total Power = Carrier Power+Upper Sideband Power+Lower Sideband Power
Pt = Pc+Pusb+Plsb

What can be observe from the power relation of AM wave?

We can observe from the expression of AM wave that the carrier component of the amplitude modulated wave has the same amplitude as unmodulated carrier.
In addition to carrier component , the modulated wave consists of two sideband components. It means that the modulated wave contains more power than the unmodulated carrier.
However, since the amplitudes of two sidebands depend upon the modulation index, it may be anticipated that the total power of the amplitude modulated wave would depend upon the modulation index also. In this section, we shall find the power contents of the carrier and the sidebands.

How to Calculate Total Power of AM wave?

Total Power of AM wave calculator uses Total Power = Carrier Power+Upper Sideband Power+Lower Sideband Power to calculate the Total Power, Total Power of AM wave is equal to the sum of power of the carrier and powers in the two sidebands, i.e upper sideband, and lower sideband frequency components. Total Power is denoted by Pt symbol.

How to calculate Total Power of AM wave using this online calculator? To use this online calculator for Total Power of AM wave, enter Carrier Power (Pc), Upper Sideband Power (Pusb) & Lower Sideband Power (Plsb) and hit the calculate button. Here is how the Total Power of AM wave calculation can be explained with given input values -> 1.56754 = 1.156+0.037+0.37454.

FAQ

What is Total Power of AM wave?
Total Power of AM wave is equal to the sum of power of the carrier and powers in the two sidebands, i.e upper sideband, and lower sideband frequency components and is represented as Pt = Pc+Pusb+Plsb or Total Power = Carrier Power+Upper Sideband Power+Lower Sideband Power. Carrier Power is the power dissipated by a carrier modulating wave, Upper Sideband Power is a type of radio communication in which the carrier frequency is placed above audio frequency, allowing for higher data transmission rates & Lower sideband power is the power which is lower than the carrier power during the modulation process.
How to calculate Total Power of AM wave?
Total Power of AM wave is equal to the sum of power of the carrier and powers in the two sidebands, i.e upper sideband, and lower sideband frequency components is calculated using Total Power = Carrier Power+Upper Sideband Power+Lower Sideband Power. To calculate Total Power of AM wave, you need Carrier Power (Pc), Upper Sideband Power (Pusb) & Lower Sideband Power (Plsb). With our tool, you need to enter the respective value for Carrier Power, Upper Sideband Power & Lower Sideband Power 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 Total Power?
In this formula, Total Power uses Carrier Power, Upper Sideband Power & Lower Sideband Power. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Total Power = Carrier Power*(1+(Modulation Index^2)/2)
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