How do I convert between dBA, dBV and RMS values? For example, I have used a current probe (clamp) with a gain of 100mV = 1A to measure a series of currents in dB and I would like to know the equivalent RMS current values.
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I'll assume dBA is for amperes and not the 'A weighted' dB sound pressure level measurement.
Zero dBA will therefore mean 1A RMS and 6dBA will mean 2A RMS. Strictly speaking 2A is closer to 6.021dBA but everyone accepts that if you double the current (or voltage) it increases by 6dB
0dBV is 1V RMS and by the reasons above 2V is 6dBV
RMS values are always implied unless otherwise stated.
Calculating: if your meter read 13.5dBA, divide by 20 to get 0.675 and take the inverse log (base 10) to get 4.732A
Or dBA = 20 log(I)
EDIT - if your meter read 13.5dBV it actually measures 4.732V and if your clamp has a gain of 100mV per amp, the current flowing will be 47.32A. All values RMS.