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4 December, 17:23

A power ratio of 9000000:1 corresponds to ... dB?

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  1. 4 December, 17:36
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    69.54

    Explanation:

    A power ratio of 9000000:1 corresponds to 69.54 dB.

    The calculation is presented below:

    Formula for calculating Power ratio (db) = 10 * log [P (out) / P (in) ]

    Since the given ratio is 9000000:1, substituting in the formula gives us 10 * log (9000000/1)

    Note that log 9000000 = 6.954

    Therefore, 10 * log (9000000/1) = 69.54

    Hence the required power ratio in db is 69.54 db.
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