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Two uncorrelated noise sources each deliver \( 2 \ \mathrm{\mu W} \). Their combined power is

  • A.4 microwatts
  • B.2.83 microwatts
  • C.2 microwatts
  • D.8 microwatts

Answer: A

Uncorrelated powers add directly:

\[ P = 2 + 2 = 4 \ \mathrm{\mu W} \]

so 4 microwatts, a rise of 3 dB. 2.83 microwatts is what would follow from adding the amplitudes in quadrature and then treating the result as a power, which double-counts the square root. 2 microwatts ignores one source. 8 microwatts would follow from adding amplitudes and squaring, which applies only to fully correlated sources in phase.

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