Measuring voltage from a current transformer

[Darrel Taylor]

Loads will be anything that can be plugged into a 120v plug.
Most common will be lights, heaters, computers, other electronics, etc.

Refrigerators, Sump Pumps, Compressors, Fans ...

They can all be plugged into a 120V outlet. And they would all be considered "Inductive Loads".
So you can forget about the Precision Rectifier.

Check out the datasheet for the LTC1966
At the bottom of the sheet in the "Typical Applications" | Single Supply RMS Current Measurement
Shows exactly what you need.

Added: Although you might want to increase the "Burden" resistor. 4mv/amp is hard to read with a PIC's A/D.
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