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How do you convert 15W to dB?

Updated: 9/17/2023
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Physiko

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13y ago

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"dB" expresses a ratio between two different power levels.

15W can't be expressed in dB. It can only be expressed as some number of dB

more or less than some other power.

If the reference level is 1 watt, then 15W is written as " +17 dBW ".

That means " 17 dB more power than 1 watt ".

In most of electronics and telecommunications, the reference level is usually 1 milliwatt.

Using that common reference level, 15W is written as " +47 dBm ".

That means " 47 dB more power than 1 milliwatt ".

=========================================================

The question starts from 15 watts.

Using 1 watt as the reference level ...

(15 watts) divided by (1 watt) = 15.

10 log(15) = +11.76 dBW (11.76 dB more power than 1 watt)

Using 1 milliwatt as the reference level ...

(15 watts) divided by (0.001 watt) = 15,000

10log(15,000) = +41.76 dBm (41.76 dB more power than 1 milliwatt)

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