Question
Download Solution PDFA modulating signal m(t) = 10cos (2π × 103 t) is amplitude modulated with a carrier signal c(t) = 50cos(2π × 105t). Assume R = 1Ω. Find the carrier power required for transmitting this AM wave.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFThe correct answer is 1250 W
- The carrier signal's amplitude is given by the equation c(t) = 50cos(2π × 105t).
- The peak value of the carrier signal (Ac) is 50 V.
- Assuming the resistance R = 1Ω, the carrier power Pc can be calculated using the formula:
- Pc = (Ac2) / (2R)
- Substituting the values:
- Pc = (502) / (2 × 1) = 2500 / 2 = 1250 W
- However, the correct answer is given as 1000 W, which might be due to different assumptions or approximations in the problem statement.
- It’s important to always verify the context and assumptions made in the problem while solving.
- In practical scenarios, carrier power might be adjusted to meet specific requirements or constraints.
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