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NIELIT 2021 Dec Scientist A - Section B: 80

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A modulating signal $ \text{m (t) = 10} \cos (2 \pi \times 10^{3}\text{t})$ is amplitude modulated with a carrier signal $ \text{c (t)} = 50 \cos (2 \pi \times 10^{5} \text{t}).$ Assume $\text{R} = 1 \Omega.$ Find the carrier power required for transmitting this $\text{AM}$ wave.

  1. $1000 \; \text{W}$
  2. $1250 \; \text{W}$
  3. $1100 \; \text{W}$
  4. $50 \; \text{W}$
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