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APPENDIX E
DECIBELS GAIN OR LOSS VS. VOLTAGE AND CURRENT RATIO AND POWER RATIO*
Decibelsb
Power ratiob
Voltage
and current
ratiob
Decibels
Power ratio
Voltage
and current
ratio
0.1
1.0233
1.0116
13.0
19.953
4.4668
0.2
1.0471
1.0233
14.0
25.119
5.0119
0.3
1.0715
1.0351
15.0
31.623
5.6234
0.4
1.0965
1.0471
16.0
39.811
6.3096
0.5
1.1220
1.0593
17.0
50.119
7.0795
0.6
1.1482
1.0715
18.0
63.096
7.9433
0.7
1.1749
1.0839
19.0
79.433
8.9125
0.8
1.2023
1.0965
20.0
100.00
10.0000
0.9 1.0
1.2303 1.2589
1.1092 1.1220
22.0 24.0
158.49 251.19
12.589 15.849
1.2
1.3183
1.1482
26.0
398.11
19.953
1.4
1.3804
1.1749
28.0
630.96
25.119
1.6
1.4454
1.2023
30.0
1000.0
31.623
1.8 2.0 2.2 2.4 2.6 2.8
1.5136 1.5849 1.6595 1.7378 1.8197 1.9055
1.2303 1.2589 1.2882 1.3183 1.3490 1.3804
32.0 34.0 36.0 38.0 40.0
1584.9 2511.9 3981.1 6309.6 10*
39.811 50.119 63.096 79.433 100.000
3.0 3.5 4.0 4.5 5.0 5.5
1.9953
2.2387 2.5119 2.8184 3.1623 3.5481
1.4125 1.4962 1.5849
1.6788 1.7783 1.8836
42.0 44.0 46.0 48.0 50.0
10* X 1.5849 10* x 2.5119 10* x 3.9811 10* x 6.3096 105
125.89 158.49 199.53 251.19 316.23
6.0
3.9811
1.9953
52.0
105x 1.5849
398.11
7.0
5.0119
2.2387
54.0
105x 2.5119
501.19
8.0
6.3096
2.5119
56.0
105x 3.9811
630.96
9.0
7.9433
2.8184
58.0
103x 6.3096
794.33
10.0
10.0000
3.1623
60.0
106
1,000.00
11.0 12.0
12.589 15.849
3.5481 3.9811
70.0 80.0 90.0
107 10s 109
3,162.3 10,000.0 31,623
100.0
]010
100,000
a To convert
Decibels to nepers multiply by 0.1151
Nepers to decibels multiply by 8.686
Where the power ratio is less than unity, invert the fraction
and express the result as a decibel loss.
T\
L
T\
b Db = 20 x log10 — = 20 log10 T = 10 log10 —
Va
?,
561