dB chart voltage power sound pressure sound intensity dB Decibel level ratio table - sengpielaudio
dB chart table conversion dbs dBA dBm calculations computation calculate calculation convert conversion factor ratio voltage power reference value level acoustic velocity sound distance chart charts table tables electrical resistance decibel ratio table energy power loudness sound pressure audio calculation table tables sound studio techniques acoustics volts volt watts watt dBu dB sound chart table 10 dB's dBs 20 percent device trial and error duty under test DUT dB measurements acoustic measurement sound pressure intensity sengpielaudio Sengpiel Berlin
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Relative level - dB  chart (decibel)

The dB calculator - a valuable tool

Conversion of voltage or power  ratios to decibels dB
Table and chart - volts, watts, and pascals, W/m2

Voltage or sound pressure ratio Power or intensity ratio  ← – dB + → Voltage or sound 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
0.707 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 0.250 6.0 1.995 4.000
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 15.8
0.224 0.0501 13 4.47 20.0
0.199 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
3.16×10-2 10-3 30 3.16×10 103
10-2 10-4 40 102 104
3.16×10-3 10-5 50 3.16×102 105
10-3 10-6 60 103 106
3.16×10-4 10-7 70 3.16×103 107
10-4 10-8 80 104 108
3.16×10-5 10-9 90 3.16×104 109
10-5 10-10 100 105 1010
3.16×10-6 10-11 110 3.16×105 1011
10-6 10-12 120 106 1012

Voltage Ratio and Voltage Level - sengpielaudio
Power Ratio and Power Level - sengpielaudio
Level of Field Quantities
Formula Voltage Level - sengpielaudio
 Level of Energy Quantities
Formel Leistungspegel - Sengpielaudio

 

In the sound studio technology we use mostly ratios of the linear units
sound pressure, particle velocity and voltage, that are field quantities.
Voltage level is: LV = 20 · log (V1/V0)     Reference voltageV0 = 1 Volt.
Voltage: V1 = V0 · 10(LV / 20)

sound field quantities   :-)
Sound pressure, sound velocity, particle displacement, voltage, current, electric resistance.
Linear distance law 1/r		 Sound energy quantities   :-(
Sound intensity, sound energy density, sound power, electric power.
 
Squared distance law 1/r2

dB-Scale for linear field quantities, like volts and sound pressures

dB-Ratio voltage - sengpielaudio

ratio

Absolute level - dB chart

referred to 0.7746 volt in dBu and to 1 volt in dBV

Conversion of decibel to voltage re 0.7746 volt and re 1 volt

Voltage re
0.7746 volt

Voltage re
1 volt

  ← – dB + → Voltage re
0.7746 volt		 Voltage re
1 volt
0.775 1.000 0 0.775 1.000
0.766 0.989 0.1 0.784 1.012
0.757 0.977 0.2 0.793 1.023
0.748 0.966 0.3 0.802 1.035
0.740 0.955 0.4 0.811 1.047
0.731 0.944 0.5 0.820 1.059
0.723 0.933 0.6 0.830 1.072
0.715 0.923 0.7 0.840 1.084
0.706 0.912 0.8 0.849 1.096
0.698 0.902 0.9 0.859 1.109
0.690 0.891 1.0 0.869 1.122
0.652 0.841 1.5 0.921 1.189
0.615 0.794 2.0 0.975 1.259
0.581 0.750 2.5 1.033 1.334
0.548 0.707 3.0 1.095 1.414
0.518 0.668 3.5 1.159 1.496
0.489 0.631 4.0 1.228 1.585
0.461 0.596 4.5 1.300 1.679
0.436 0.562 5.0 1.377 1.778
0.411 0.531 5.5 1.459 1.884
0.388 0.501 6.0 1.549 1.995
0.367 0.473 6.5 1.637 2.113
0.346 0.447 7.0 1.734 2.239
0.327 0.422 7.5 1.837 2.371
0.308 0.398 8.0 1.946 2.512
0.291 0.376 8.5 2.061 2.661
0.275 0.355 9.0 2.183 2.818
0.259 0.335 9.5 2.312 2.985
0.245 0.316 10 2.449 3.162
0.218 0.282 11 2.748 3.548
0.195 0.250 12 3.084 3.981
0.173 0.224 13 3.460 4.467
0.155 0.199 14 3.882 5.012
0.138 0.178 15 4.356 5.623
0.123 0.159 16 4.887 6.310
0.109 0.141 17 5.484 7.079
0.097 0.129 18 6.153 7.943
0.086 0.112 19 6.904 8.912
0.077 0.100 20 7.746 10.000
2.450×10-2 3.162×10-2 30 24.50 31.62
7.746×10-3 10-2 40 77.46 102
2.450×10-3 3.162×10-3 50 2.450×102 3.162×102
7.746×10-4 10-3 60 7.746×102 103
2.450×10-4 3.162×10-4 70 2.450×103 3.162×103
7.746×10-5 10-4 80 7.746×103 104
2.450×10-5 3.162×10-5 90 2.450×104 3.162×104
7.746×10-6 10-5 100 7.746 · 104 105
2.450×10-6 3.162×10-6 110 2.450×105 3.162×105
7.746×10-7 10-6 120 7.746×105 106

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