(S/N)is measured in dB.The (S/N)ratio of a signal is 1000.What is the corresponding dB value?

Question

(S/N)is measured in dB.The (S/N)ratio of a signal is 1000.What is the corresponding dB value?

Answer 1

30db

shortcut for voltage ratios: just take the number of zeros and add a zero

100 = 20dB

1000 = 30dB

10000 = 40dB

100000 = 50dB

1000000 = 60dB

.

Answer 2

To calculate the Decibel rating of a number, you have to know that:

dB = 10 * log(10) of Value

Because the value here is "simple", namely 1000, you don't even need a calculator to get the answer. To calculate logarithms of 10, you have to answer:

10^x = value

x = ?

in this case, x = 3, because:

10 ^ 3 = 1000

So what you basically have to is:

dB = 10*log(10) 1000

dB = 10 * 3

dB = 30