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A transmitter delivers 20 W. What is this in dBm?

  • A.13 dBm
  • B.20 dBm
  • C.33 dBm
  • D.43 dBm

Answer: D

One watt is 30 dBm, and twenty is thirteen decibels above one:

\[ 30 + 10\log_{10} 20 \approx 30 + 13 = 43 \]

so 43 dBm. Building the answer from the familiar anchor of 30 dBm for a watt, and adding ten decibels per factor of ten and three per factor of two, avoids reaching for a calculator. Twenty watts is a common transmitter rating and 43 dBm is worth recognising on sight.

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