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

Question

asked Apr 2, 2020 112k views

1 Answer

Ani Alaverdyan · Answer 1 · 2020-04-07T22:10:36+0000

Answer:

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

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