Correct coordination between the MCB and the cable is essential for safety. The MCB must protect the cable from both sustained overload and short circuit fault current. For overload protection, the Ib ≤ In ≤ Iz rule ensures the cable is never subjected to a continuous current above its rating.
For short circuit protection, the cable must be able to withstand the thermal effects of the fault current for the time it takes the MCB to disconnect. This is verified using the adiabatic equation from BS 7671 Regulation 434:
S ≥ √(I²t) / k
Where S is the minimum conductor CSA, I²t is the energy let-through of the MCB (from manufacturer data), and k is a constant for the conductor and insulation type (115 for copper/PVC, 143 for copper/XLPE). If the installed cable CSA is greater than or equal to S, the cable is adequately protected.
k = 115 applies to copper conductors incorporated in a PVC cable at 70°C initial temperature (BS 7671 Table 54.3); k = 143 applies to a separately run insulated copper conductor not incorporated in a cable at 30°C initial temperature (BS 7671 Table 54.2).
In practice, for most domestic circuits, the standard cable sizes (1.5mm², 2.5mm², 4mm², 6mm², 10mm²) easily satisfy the adiabatic equation when protected by standard MCB ratings. The check becomes more critical on long cable runs, circuits with high prospective fault current, or where the cable CSA has been minimised. The adiabatic equation calculator in Elec-Mate performs this verification automatically.