Question

Convert the following decimal numbers dB а. 1 b. 13 C. 0.25 d. 25

Answer 1

a) 0db

b) 11.1db (for power)

22.2db (for field quantities)

c) -6db (for power)

-12db (for field quantities)

d) 14db (for power)

28db (for field quantities)

Step-by-step explanation:

We have to take care of the unit of that decimal numbers because it will affect the procedure.

for power quantities:

`db=10log(X)`

for field quantities (as voltage or pressure):

`db=20log(x)`.

For power

a)
`db=10log(1)=0db`

b)
`db=10log(13)=11.1db`

c)
`db=10log(0.25)=-6db`

d)
`db=10log(25)=14db`

For field quantities:

a)
`db=20log(1)=0db`

b)
`db=20log(13)=22.2db`

c)
`db=20log(.25)=-12db`

d)
`db=20log(25)=28db`