EMC for Product Designers, Fourth Edition

Appendix D: Useful Tables and Formulae

D.1 The deciBel

The deciBel (dB) represents a logarithmic ratio between two quantities. Of itself it is unitless. If the ratio is referred to a specific quantity (P 2, V 2 or I 2 below) this is indicated by a suffix, e.g. dB V is referred to 1 V, dBm is referred to 1mW.

Common suffixes

suffix

refers to

dBV

1 volt

dBmV

1 millivolt

dB V

1 microvolt

dBV/m

1 volt per metre

dB V/m

1 microvolt per metre

dBA

1 amp

dB A

1 microamp

dB A/m

1 microamp per metre

dBW

1 watt

dBm

1 milliwatt

dB W

1 microwatt

Originally the dB was conceived as a power ratio, hence it is given by:


Power is proportional to voltage squared, hence the ratio of voltages or currents across a constant impedance is given by:


Conversion between voltage in dB V and power in dBm for a given impedance Z ohms is:


dB V versus dBm for Z = 50 ?

dB V

V

dBm

pW

dB V

mV

dBm

nW

20

0.1

127

0.0002

30

0.03162

77

0.02

10

0.316

117

0.002

40

0.10

67

0.2

50

0.3162

57

2.0

0

1.0

107

0.02

60

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