Convert a 1000:1 power ratio to decibels.

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Multiple Choice

Convert a 1000:1 power ratio to decibels.

Explanation:
Converting a power ratio to decibels uses the formula dB = 10 log10(P2/P1). A 1000:1 power ratio means P2/P1 = 1000. Since log10(1000) = 3, multiplying by 10 gives 30 dB. So a 1000:1 power increase is 30 dB. A handy note: each factor of 10 in power adds 10 dB, so 1000 corresponds to 30 dB. If you were dealing with voltage or current ratios instead, you’d use 20 log10, but for power the factor is 10.

Converting a power ratio to decibels uses the formula dB = 10 log10(P2/P1). A 1000:1 power ratio means P2/P1 = 1000. Since log10(1000) = 3, multiplying by 10 gives 30 dB. So a 1000:1 power increase is 30 dB. A handy note: each factor of 10 in power adds 10 dB, so 1000 corresponds to 30 dB. If you were dealing with voltage or current ratios instead, you’d use 20 log10, but for power the factor is 10.

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