Appendix D
CONVERSION FROM POWER OR VOLTAGE RATIOS TO DECIBELS
Voltage or Pressure Ratio |
Power or Intensity Ratio |
<--- - dB + ---> |
Voltage or Pressure Ratio |
Power or Intensity Ratio |
1.000 |
1.000 |
0 |
1.000 |
1.000 |
0.989 |
0.977 |
0.1 |
1.012 |
1.023 |
0.977 |
0.955 |
0.2 |
1.023 |
1.047 |
0.966 |
0.933 |
0.3 |
1.035 |
1.072 |
0.955 |
0.912 |
0.4 |
1.047 |
1.096 |
0.944 |
0.891 |
0.5 |
1.059 |
1.122 |
0.933 |
0.871 |
0.6 |
1.072 |
1.148 |
0.923 |
0.851 |
0.7 |
1.084 |
1.175 |
0.912 |
0.832 |
0.8 |
1.096 |
1.202 |
0.902 |
0.813 |
0.9 |
1.109 |
1.230 |
0.891 |
0.794 |
1.0 |
1.122 |
1.259 |
0.841 |
0.708 |
1.5 |
1.189 |
1.413 |
0.794 |
0.631 |
2.0 |
1.259 |
1.585 |
0.750 |
0.562 |
2.5 |
1.334 |
1.778 |
0.708 |
0.501 |
3.0 |
1.413 |
1.995 |
0.668 |
0.447 |
3.5 |
1.496 |
2.239 |
0.631 |
0.398 |
4.0 |
1.585 |
2.512 |
0.596 |
0.355 |
4.5 |
1.679 |
2.818 |
0.562 |
0.316 |
5.0 |
1.778 |
3.162 |
0.531 |
0.282 |
5.5 |
1.884 |
3.548 |
0.501 |
0.251 |
6.0 |
1.995 |
3.981 |
0.473 |
0.224 |
6.5 |
2.113 |
4.467 |
0.447 |
0.200 |
7.0 |
2.239 |
5.012 |
0.422 |
0.178 |
7.5 |
2.371 |
5.623 |
0.398 |
0.159 |
8.0 |
2.512 |
6.310 |
0.376 |
0.141 |
8.5 |
2.661 |
7.079 |
0.355 |
0.126 |
9.0 |
2.818 |
7.943 |
0.335 |
0.112 |
9.5 |
2.985 |
8.913 |
0.316 |
0.100 |
10 |
3.162 |
10.00 |
0.282 |
0.0794 |
11 |
3.55 |
12.6 |
0.251 |
0.0631 |
12 |
3.98 |
15.9 |
0.224 |
0.0501 |
13 |
4.47 |
20.0 |
0.200 |
0.0398 |
14 |
5.01 |
25.1 |
0.178 |
0.0316 |
15 |
5.62 |
31.6 |
0.159 |
0.0251 |
16 |
6.31 |
39.8 |
0.141 |
0.0200 |
17 |
7.08 |
50.1 |
0.126 |
0.0159 |
18 |
7.94 |
63.1 |
0.112 |
0.0126 |
19 |
8.91 |
79.4 |
0.100 |
0.0100 |
20 |
10.0 |
100.0 |
3.16 x 10-2 |
10-3 |
30 |
3.16 x 10 |
103 |
10-2 |
10-4 |
40 |
102 |
104 |
3.16 x 10-3 |
10-5 |
50 |
3.16 x 102 |
105 |
10-3 |
10-6 |
60 |
103 |
106 |
3.16 x 10-4 |
10-7 |
70 |
3.16 x 103 |
107 |
10-4 |
10-8 |
80 |
104 |
108 |
3.16 x 10-5 |
10-9 |
90 |
3.16 x 104 |
109 |
10-5 |
10-10 |
100 |
105 |
1010 |
3.16 x 10-6 |
10-11 |
110 |
3.16 x 105 |
1011 |
10-6 |
10-12 |
120 |
106 |
1012 |