It does rather depend on the order of magnitude of the current, which is, surprisingly, missing from the original post.
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I work with substations and wind farm AC to DC electronically switched power factor correction, is 40,000A high?
What we are trying to get at here is that the actual value of the word 'high' varies greatly depending on the persons industry and point of view.
As many solutions relate only to certain ranges of 'high' it is important to at least know the range of currents and the industry so that we can offer a viable solution rather than just a theoretical one that may or may not be practical for your application.