2007-02-02 03:03:52 · 5 answers · asked by ikram c 1 in Science & Mathematics ➔ Physics
Watt is the unit of power.
Suppose we have a standard power of W0 e.g. 12 watt.
Another power source has W1, e.g. 1200 watt
The ratio of W1/W0 is in our example is 100 and it has no unit being a ratio.
The logarithm of this ratio to the base 10 is log W1/W0.
This is also equal to log W1- log W0.
In our example, this is equal to log 100 to the base 10 .
Or log 10^2 to the base 10
or simply 2 BEL
Hence instead of saying that one power is hundred times more than the standard, it is enough we say that the BEL is 2 meaning that one is 100 times more than the other.
Usually instead of saying that the power ratio is 2 BEL, we say that the power ratio is 20 deci Bel.
We know that “deci” means (1/10).
Therefore Deci Bel means 1/10 of Bel.
If the power ratio is 10,000 times more than the standard, then the power ratio is said to be 40 decibel.
We can check it as follows.
40 decibel means 4 bel.
4 bel = log 10^4 to the base 10.
Log 10^4 implies log 10,000.
Hence correct and W1/W0 = 10,000.
2007-02-02 05:02:35 · answer #1 · answered by Pearlsawme 7 · 0⤊ 0⤋
Watt is a unit of power -- Joules per second
deciBels (dB) is a ratio of 2 powers (in the strictest sense of the definition). It is dimensionless.
2007-02-02 03:13:03 · answer #2 · answered by tlbs101 7 · 0⤊ 0⤋
Db scale is in logarithmic proportion to the energy of the sound. Watt's is linear.
2007-02-02 03:15:37 · answer #3 · answered by tbolling2 4 · 0⤊ 0⤋
Wattage is power used, DB is Decibels, or a rating of the level of sound.
2007-02-02 03:11:07 · answer #4 · answered by Marvinator 7 · 0⤊ 0⤋
db is decibels , the level of sound output
watt is the level of power input.
2007-02-02 03:11:30 · answer #5 · answered by Vincent W 3 · 0⤊ 0⤋