A domestic ring final circuit supplying socket outlets in a kitchen, protected by a 32A Type B MCB, installed as flat twin and earth clipped direct (Reference Method C), with an ambient temperature of 30 degrees C and no grouping.
Ca = 1.0 (30 °C is the reference temperature), Cg = 1.0 (not grouped) and the device is an MCB, so Cf does not apply. Table 4D5, Reference Method C, gives 2.5 mm² twin and earth 27 A. That is below the 32 A device, but a ring is not sized like a radial. Regulation 433.1.204 deems a ring of 2.5 mm² copper on a 30 A or 32 A device to meet Regulation 433.1.1 when the cable's current-carrying capacity is at least 20 A. 27 A clears 20 A, so 2.5/1.5 mm² twin and earth is correct.
A three-phase submain to a workshop 45 m away, on an 80 A device with a 75 A design current, in multicore SWA clipped to a wall in a single layer beside two other circuits, at 35 °C. Ca = 0.94 (Table 4B1, 70 °C thermoplastic) and Cg = 0.79 (Table 4C1, item 2, three circuits). It ≥ 80 ÷ (0.94 × 0.79) = 107.7 A. Table 4D4A, Reference Method C, three- or four-core: 25 mm² is 102 A (too small), 35 mm² is 125 A. Volt drop from Table 4D4B: 1.1 mV/A/m × 75 A × 45 m ÷ 1000 = 3.7 V, 0.9% of 400 V, well inside 5%. 35 mm² SWA.
Where the earth fault check changes the answer: a 32 A Type B radial, 30 m of twin and earth clipped direct, on a TN-S supply with Ze 0.80 Ω. Current and volt drop give 4 mm² (37 A, 4.6% drop). But 4/1.5 mm² has (R1 + R2) of 16.71 mΩ/m (On-Site Guide Table I1) × 30 m × 1.20 = 0.60 Ω, so Zs = 1.40 Ω against a 1.37 Ω limit (Table 41.3). It fails. 6/2.5 mm² gives 10.49 × 30 × 1.20 = 0.38 Ω and Zs = 1.18 Ω, which passes, and its 2.5 mm² CPC is well above the 0.54 mm² the adiabatic equation asks for. Enter Ze in the calculator and it makes this step for you.
The calculator above works all of this through: the cable size and the Appendix 4 table it came from, volt drop in volts and per cent, and, when you enter Ze, Zs against Tables 41.2 to 41.4 and the CPC against the adiabatic equation.