dB to Power Ratio

This tool calculates the Power Ratio from its deciBel (dB) value.

🔄 Power Ratio to dB

Formula

Power Ratio = 10PdB/10

Example Calculation

A ratio quantifies how many times one number contains another. For instance, a ratio of two powers denoted P1:P2 = 3:1 means the power P1 is three times P2. Conversely P2 is one-third the value of P1. The power ratio is a linear value and has no units.

deciBel or dB expresses the ratio between two numbers on a logarithmic scale. It is useful for representing both large and small numbers.

The calculator on this page converts from a the ratio to its deciBel equivalent.

  • For a PdB value of 100 dB, the Power ratio is 10000000000 = 1010
  • A PdB value of 1 dB gives a linear Power ratio of 1.26

PdB values less than 0 dB have a power ratio between 0 and 1. For instance, PdB = -10 dB gives a ratio of 0.1. The more negative the dB value, the closer to 0 the ratio.

Table of dB to Power Ratio

This table presents linear equivalent over the range -100 dB to +100 dB.

dBLinear
-1001.0000E-10
-991.2589E-10
-981.5849E-10
-971.9953E-10
-962.5119E-10
-953.1623E-10
-943.9811E-10
-935.0119E-10
-926.3096E-10
-917.9433E-10
-901.0000E-09
-891.2589E-09
-881.5849E-09
-871.9953E-09
-862.5119E-09
-853.1623E-09
-843.9811E-09
-835.0119E-09
-826.3096E-09
-817.9433E-09
-801.0000E-08
-791.2589E-08
-781.5849E-08
-771.9953E-08
-762.5119E-08
-753.1623E-08
-743.9811E-08
-735.0119E-08
-726.3096E-08
-717.9433E-08
-701.0000E-07
-691.2589E-07
-681.5849E-07
-671.9953E-07
-662.5119E-07
-653.1623E-07
-643.9811E-07
-635.0119E-07
-626.3096E-07
-617.9433E-07
-601.0000E-06
-591.2589E-06
-581.5849E-06
-571.9953E-06
-562.5119E-06
-553.1623E-06
-543.9811E-06
-535.0119E-06
-526.3096E-06
-517.9433E-06
-501.0000E-05
-491.2589E-05
-481.5849E-05
-471.9953E-05
-462.5119E-05
-453.1623E-05
-443.9811E-05
-435.0119E-05
-426.3096E-05
-417.9433E-05
-401.0000E-04
-391.2589E-04
-381.5849E-04
-371.9953E-04
-362.5119E-04
-353.1623E-04
-343.9811E-04
-335.0119E-04
-326.3096E-04
-317.9433E-04
-301.0000E-03
-291.2589E-03
-281.5849E-03
-271.9953E-03
-262.5119E-03
-253.1623E-03
-243.9811E-03
-235.0119E-03
-226.3096E-03
-217.9433E-03
-201.0000E-02
-191.2589E-02
-181.5849E-02
-171.9953E-02
-162.5119E-02
-153.1623E-02
-143.9811E-02
-135.0119E-02
-126.3096E-02
-117.9433E-02
-101.0000E-01
-91.2589E-01
-81.5849E-01
-71.9953E-01
-62.5119E-01
-53.1623E-01
-43.9811E-01
-35.0119E-01
-26.3096E-01
-17.9433E-01
01.0000E+00
11.2589E+00
21.5849E+00
31.9953E+00
42.5119E+00
53.1623E+00
63.9811E+00
75.0119E+00
86.3096E+00
97.9433E+00
101.0000E+01
111.2589E+01
121.5849E+01
131.9953E+01
142.5119E+01
153.1623E+01
163.9811E+01
175.0119E+01
186.3096E+01
197.9433E+01
201.0000E+02
211.2589E+02
221.5849E+02
231.9953E+02
242.5119E+02
253.1623E+02
263.9811E+02
275.0119E+02
286.3096E+02
297.9433E+02
301.0000E+03
311.2589E+03
321.5849E+03
331.9953E+03
342.5119E+03
353.1623E+03
363.9811E+03
375.0119E+03
386.3096E+03
397.9433E+03
401.0000E+04
411.2589E+04
421.5849E+04
431.9953E+04
442.5119E+04
453.1623E+04
463.9811E+04
475.0119E+04
486.3096E+04
497.9433E+04
501.0000E+05
511.2589E+05
521.5849E+05
531.9953E+05
542.5119E+05
553.1623E+05
563.9811E+05
575.0119E+05
586.3096E+05
597.9433E+05
601.0000E+06
611.2589E+06
621.5849E+06
631.9953E+06
642.5119E+06
653.1623E+06
663.9811E+06
675.0119E+06
686.3096E+06
697.9433E+06
701.0000E+07
711.2589E+07
721.5849E+07
731.9953E+07
742.5119E+07
753.1623E+07
763.9811E+07
775.0119E+07
786.3096E+07
797.9433E+07
801.0000E+08
811.2589E+08
821.5849E+08
831.9953E+08
842.5119E+08
853.1623E+08
863.9811E+08
875.0119E+08
886.3096E+08
897.9433E+08
901.0000E+09
911.2589E+09
921.5849E+09
931.9953E+09
942.5119E+09
953.1623E+09
963.9811E+09
975.0119E+09
986.3096E+09
997.9433E+09
1001.0000E+10

References

  • Ratio on Wikipedia
  • dB on Wikipedia

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dB to Voltage Ratio