Measure current in high voltage (10kV)
You could use a transformer to multiply up the current.



The image shows a current transformer working in the normal way for measuring very high currents. The measured current will be 1/N times that in the red cable.  Basically you want to do the opposite. 

Get a large iron ring, and loop your cable through it 10x. Then loop another small wire through the ring and measure the current in that.