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I’ve read your post Richard but surely the very fact it is the current carrying CAPACITY implies a maximum. And the cables capacity must be above that of the protective device.
It just doesn’t work as a minimum?
You take a protective device of current rating C, the minimum current carrying capacity of a live conductor connected to this protective device is C
Surly if a protective device is C then the CCC of cable has to be above C but as for the minimum, it could be anything you want just so long as the protective device will trip before the maximum is reached.

Maybe we are getting at the same thing and I’m missing your meaning? Maybe it’s time for another glass of red. Now where did I put the other bottle.
 
Whilst the rating of the protective device should be no greater than the CCC of the cable, the tripping current of the device should also not be greater than 1.45 times the CCC of the cable.
 
Ohhh I see so by minimum they are talking what's the minimum that will do the job, the wording is bad it should say calculate the minimum required capacity live conductor current for the circuit.
 
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