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G8MNY  > TECH     14.07.03 15:12l 49 Lines 2516 Bytes #999 (0) @ WW
BID : 5566_GB7CIP
Read: DB0FHN GUEST OE7FMI
Subj: dBW & dB Levels
Path: DB0FHN<DB0RGB<OK0PPL<DB0RES<ON0AR<WB0TAX<IK1ZNW<GB7CRV<GB7CIP
Sent: 030713/2209Z @:GB7CIP.#32.GBR.EU #:5566 [Caterham] $:5566_GB7CIP
From: G8MNY@GB7CIP.#32.GBR.EU
To  : TECH@WW

dBWs
The Formulae for POWER is 10log POut/1WATT, which gives this easy to remember
1dB step table based only on +/- 3, 6 & 10dB.
Note, dBW is "0" referenced to 1W.

 +3dB is doubling the power,  -3dB is only a half.
 +6dB is Quadrupling power,   -6dB is only a quarter.
+10dB is 10 fold the power,  -10dB is only a tenth.

mW     dBW       Watts  dBW      Watts  dBW       Watts   dBW      Watts   dBW
10     -20       0.1    -10       1      0        10      10       100      20
12.5   -19       0.125   -9       1.25   1        12.5    11       125      21
15.65  -18       0.1565  -8       1.565  2        15.65   12       156.5    22
20     -17       0.2     -7       2      3        20      13       200      23
25     -16       0.25    -6       2.5    4        25      14       250      24
31.25  -15       0.3125  -5       3.125  5        31.25   15       312.5    25
40     -14       0.4     -4       4      6        40      16       400      26
50     -13       0.5     -3       5      7        50      17       500      27
62.5   -13       0.625   -2       6.25   8        62.5    18       625      28
80     -11       0.8     -1       8      9        80      19       800      29


For Voltage and Currents the formulae is 20log in/out, which gives this easy to
remember 2dB step table based only on +/- 6, 12 & 20dB.

 +6dB is doubling the level,  -6dB is only a half.
+12dB is Quadrupling level,  -12dB is only a quarter.
+20dB is 10 fold the level,  -20dB is only a tenth.

NB +1dB  is about +11% (111%), & -1dB is about -9% (91%) of level.

Ratio    dB      Ratio   dB       Ratio   dB       Ratio    dB       Ratio   dB
0.01    -40      0.1    -20        1      +0        10     +20       100    +40
0.0125  -38      0.125  -18        1.25   +2        12.5   +22       125    +42
0.01565 -36      0.1565 -16        1.565  +4        15.65  +24       156.5  +44
0.02    -34      0.2    -14        2      +6        20     +26       200    +46
0.025   -32      0.25   -12        2.5    +8        25     +28       250    +48
0.03125 -20      0.3125 -10        3.125 +10        31.25  +30       312.5  +50
0.04    -28      0.4     -8        4     +12        40     +32       400    +52
0.05    -26      0.5     -6        5     +14        50     +34       500    +54
0.0625  -24      0.625   -4        6.25  +16        62.5   +36       625    +56
0.08    -22      0.8     -2        8     +18        80     +38       800    +58

/QSL
73 De John, G8MNY @ GB7CIP


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