A 500w carrier is modulated to depth of 80%. calculate total power in AM wave power in each side band, total power in side band
Answer (1)
25th Aug, 2024
Hello,
To calculate the total power in the AM wave and power in each sideband, we can use the following formulas:
1. Total Power (Pt) = Carrier Power (Pc) x [1 + (μ^2)/2]
where μ is the modulation index (80% in this case)
1. Power in each sideband (Ps) = (μ^2/4) x Pc
Given:
Pc = 500 W (carrier power)
μ = 0.8 (modulation index)
Calculations:
1. Total Power (Pt) = 500 x [1 + (0.8^2)/2]
= 500 x [1 + 0.64/2]
= 500 x 1.32
= 660 W
2. Power in each sideband (Ps) = (0.8^2/4) x 500
= (0.64/4) x 500
= 0.16 x 500
= 80 W
So, the total power in the AM wave is 660 W, and the power in each sideband is 80 W.
Hope this helps,
Thank you
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