Exactly.
If you're pulling 47.69 amps from a 240v line, that's actually 11,445 watts (twice what the display reads). The CT can only detect amps, not volts. You need both to calculate watts/kWh.
I use this system from Efergy.com (see:
Home of Energy Monitoring | Efergy ) It allows you to monitor energy usage on their website or on your phone with an app, as well as recording and graphing usage over time. There are lots of other systems like this, too. I have the "Elite Hub" kit for online access. The display unit is wireless so you can put it on your desk or table to monitor usage anywhere in the house.
elite engage hub system - home energy gateway
The Efergy system allows you to configure the CTs to the exact voltage running through the line, so the watts and power consumption are accurate. For instance, here's my graph from last May tracking my total consumption (dark green) and solar production (light green). I could even drill down to one week or even one day by hour.
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