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Electrical formulas: a quick-reference tableUseful calculations, in a minute.

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Every calculation from this masterclass, in the order a designer uses them.

CalculationFormulaUse it when…Where
Design current (single-phase)Ib = P ÷ VYou need the circuit's current from the load. V = the voltage present at the origin of the circuit (usually 230 V).Power triangle
Design current (three-phase)Ib = P ÷ (√3 × VL)Three-phase load. VL = 400 V. Answer is per phase.√3 = 1.73
Tabulated current neededIt ≥ In ÷ (Ca × Cg × Ci …)Sizing a cable. Only use the factors happening at the same time.BS 7671 App 4 · Tables 4B1, 4C1, 2.6
Cable sizetable value ≥ ItRead down your cable's A table, in the column for your method.BS 7671 Appendix 4 cable tables
Voltage dropVD = mV/A/m × Ib × L ÷ 1000Checking there's enough "push" left. Limits 3% / 5%.B tables · Table 4Ab
R1 + R2 (designer)B1 × B3 × L ÷ 1000Designing for an earth fault (conductors at operating temperature).GN3 Tables B1, B3
R1 + R2 (ring)(r1 + r2) ÷ 4Ring final circuits. r = single conductor end to end (the "dash" rows).GN3 Table B1 (+ B3 or B2)
R1 + R2 (inspector)B1 × B2 × L ÷ 1000Correcting a measured value to the ambient temperature on the day. Never in a design.GN3 Table B2 p.175
Earth fault loopZs = Ze + (R1 + R2)Checking ADS. Ze by measurement, enquiry or calculation (or given).Compare with max Zs (Ch 41)
Prospective earth fault currentPEFC = U₀ × Cmin ÷ ZsHow many amps flow in an earth fault. Cmin = 0.95 (218.5 V).Ohm's law, worst case
Ia / disconnection timeread from the curvesHow fast the device operates at that PEFC (more amps = faster).BS 7671 Appendix 3
AdiabaticS = √(I² × t) ÷ kChecking the CPC can carry the fault current until the device operates.k: Chapter 54 (Table 54.3 = 115)

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