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: 
My company has provided current meters up to 15kA for plating baths. They just used [shunts](http://www.lumel.com.pl/en/our_offer/measuring_instruments/boczniki_pomiarowe/art34,b4-shunts-1a-15ka-nominal-current-50mv-voltage-drops.html) (50mV or 60mV = 15kA IIRC). 

[![enter image description here](https://i.stack.imgur.com/RYQgb.jpg)](https://i.stack.imgur.com/RYQgb.jpg)

If your current has much high frequency component you may need to take special precautions- it doesn't take much inductance to cause problems. 

Also note that 10kA \* 50mV drop is 500W so they will dissipate a fair bit of power at full current. 

Both the above problems can be reduced or avoided by using the LEM sensors suggested by JohnD (+1), however the cost may be higher in cases where a relatively steady DC current is to be measured.
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).