Question: What is the standard way to measure a current of about 10,000 A? DC clamp meters seem to have only scales up to 2,000 A.

**Edit**

Some background of this question: 

I am a high school physics teacher and I am trying to improve some classical experiments using high currents from ultra-capacitor discharge. 

In particular I am looking for a good way to measure the discharge current of a ultra capacitor for very short times like in this "jumping ring" experiment:

[A safe and effective modification of Thomson’s jumping ring experiment](http://www.rose-hulman.edu/~moloney/Ph425/0143-0807_33_6_1625JumpingRing.pdf)

The second motivation for this question was just because I just want to know it out of curiosity for my background knowledge of what is the usual way to measure such high currents today.

Answer: 
If there is a way to run the experiment setup at a lower current temporarily, one could pick any two exposed spots on any conductor in the setup, attach a voltmeter, calibrate with a known current, and use that length of conductor as an intrinsic shunt.
Most other answers have assumed you want to measure 10KA **continuously**. However, your referenced use shows that it is only for a **pulse** of around 5 milliseconds. Because of this short time, the only way you can get a measurement is by using a storage scope to capture the waveform.  

You also need a sensor connected to the 'scope. Whether it is a shunt or a clamp, is not very important, as long as it "matches" the 'scope being used.

Proper safety measures should be implemented and followed (as in the referenced experiment).