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What is a decibel of power ratio?

  • A.The square root of the ratio
  • B.Ten times the logarithm of the ratio
  • C.Twenty times the logarithm of the ratio
  • D.The logarithm of the ratio itself

Answer: B

For powers the decibel is ten times the base-ten logarithm of the ratio, while for voltages and other amplitudes it is twenty times. The factor of two between the two conventions comes from power going as the square of amplitude. Getting it wrong squares or square-roots the answer, which is a large error, so establishing whether a quantity is a power or an amplitude is the first step in any decibel calculation.

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