in mcb, the trip characteristics cannot be adjusted whereas in mccb, the trip characteristics can be adjusted in some. the operation principle can be either thermal or thermo-magnetic.
the tripping characteristics can be adjust only in some special type of MCCBs called as ICCB. in them the characteristics can be adjusted but to a limited extent.
Electrically - the rating and the breaking capacity. MCB ratings can be up to a maximum of about 125 Amperes and breaking capacities upto 10kA. MCCB ratings can be upto 3200A and breaking capacities upto 75kA.
Mechanically - not much difference except frame size. MCB can be called a 'miniature moulded case circuit breaker'.
I'll only add that Mechanically, there is a huge difference in construction, hence the higher interrupt capacity of the MCCB. At anything approaching a high current fault, an MCB becomes shrapnel. It just cannot withstand the physical forces involved. And MCCB is designed for that.
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