Brian8 can you describe how you measure current of working CPU on motherboard ?
Did you measure on HV side current change or power change ? or you monitor current on PSU wide connector 3,3V ,...
Cheap (less then ~10eur) unimer instruments, often have terrible current shunt, and make high voltage/current drop in circuit, which give wrong picture of voltage/current in circuit. Also accuracy of this cheap instruments are ok only on paper specification, in real life this is very very sad, and may lead to wrong conclusion and bad measuring datas.
For measuring currents on wide PSU connector of particular wire-pin use Hall sensor type for measuring, with ferite opening clothespin.
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I suggest you to use CPU-Z software to get detailed informations about your CPU, then try to get CPU datasheet from manufacturer web site.
http://www.cpuid.com/softwares/cpu-z.html
When you get thise manufacturer datas about your CPU then you can measure and compare this data with data in specification given by manufacturer.
You can see some other examples of measuring current with Allegro ACS serie Hall sensor here:
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