Question

Convert the following dB to decimal a. -12 b. 3 c. 10 d. 0

Answer 1

for -12db

`(V1)/(V2)=0.251\\\\(P1)/(P2)=0.0631`

for 3db

`(V1)/(V2)=√(2)\\\\(P1)/(P2)=2`

for 10db

`(V1)/(V2)=3.16\\\\(P1)/(P2)=10`

for 0db

`(V1)/(V2)=1\\\\(P1)/(P2)=1`

Step-by-step explanation:

The decibel is a logaritmic value given by:

`db=10*log((P1)/(P2))=20*log((V1)/(V2))`

we use 10 for power values and 20 for other values such voltages or currents.

`(V1)/(V2)=10^{(db)/(10)}\\\\(P1)/(P2)=10^{(db)/(20)}`

for -12db

`(V1)/(V2)=10^{(-12)/(10)}=0.251\\\\(P1)/(P2)=10^{(-12)/(20)}=0.0631`

for 3db

`(V1)/(V2)=10^{(3)/(10)}=√(2)\\\\(P1)/(P2)=10^{(3)/(20)}=2`

for 10db

`(V1)/(V2)=10^{(10)/(10)}=3.16\\\\(P1)/(P2)=10^{(10)/(20)}=10`

for 0db

`(V1)/(V2)=1\\\\(P1)/(P2)=1`