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Determine the power contained in the carrier and in each band sides, for an AM signal with a percentage modulation of 80% and a total power of 2500W.

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Answer to a math question Determine the power contained in the carrier and in each band sides, for an AM signal with a percentage modulation of 80% and a total power of 2500W.

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Timmothy
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To determine the power contained in the carrier and in each sideband for an AM signal with a percentage modulation of 80% and a total power of 2500 W, we can use the following formulas:

1. Total Power,
2. Percentage Modulation,
3. Power in Carrier, P_{Total}=P_c\times\left(1+\frac{m^2}{2}\right)
m = 80\% = 0.8

Now, we can calculate the power in the carrier and each sideband:

1. Power in Carrier:
2500=P_c\times\left(1+\frac{0.8^2}{2}\right)



P_c=1893.94\,\text{W}

2. Power in Each Sideband:
P_{\text{sideband}}=\frac{Pt-Pc}{2}
P_{\text{sideband}}=\frac{2500-1893.94}{2}
P_{\text{sideband}}=303.03\,\text{W}


\boxed{P_c=1893.94\,\text{W}}

\boxed{P_{\text{sideband}}=303.03\,\text{W}}

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