When sizing cables is it a requirement to rate the cable for the full rated current setting of the MCCB, or is the cable sized to the adjusted setting?

If you wish, it may be the adjusted setting - see 433.1.1 (i) as an example of where the adjusted setting may be used in the cable sizing exercise.

It depends on what setting you are "adjusting" as to the relevant circuit parameters you decide - so for example you may reduce the current carrying capacity of a cable required based on adjusting the overload long time pick up to use a smaller cable - but you may need to increase the size if you put in longer short time pick up (say under short circuit) as an aid to discrimination.

In summary - whatever permitations of settings you pick - then you design against those and pas the setting informatopn on to the installer.

Just be careful that the settings can't be adfjusted after you complete the installation however (ar at least have a warning in place of the implications of doing so) - adjustments that need a key or tool to initiate are the usual solution.

Regards

OMS

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Failure is always an option