Battery internal resistance (from Admiralty battery tables for that bank): ~0.02 Ω. Total resistance ~0.0856 Ω.
Checking the fuse’s time-current curve (Admiralty Handbook, Plate 12), a 40 A fuse would clear 1285 A in ~0.01 seconds — safe. But the mechanical switch arced badly. Gibbs recommended adding a high-speed circuit breaker. Post-war, HMS Vigilant got new radar. The induction motor load (radar rotating aerial) had a power factor of 0.65 lagging . Apparent power S = 8 kVA, true power P = 5.2 kW. The generator ran hot.
Fault current: (I_{short} = 110 / 0.0856 \approx 1285\ \text{A}).
Then cable cross-section area (A): [ A = \frac{\rho \times L}{R} = \frac{0.0175 \times 45}{0.0194} \approx 40.6\ \text{mm}^2 ]
From the Admiralty tables, he knew copper’s resistivity at 20°C: (or 0.0175 Ω·mm²/m). The manual demanded voltage drop not exceed 3% for power circuits.
Maximum allowable drop per core: 1.65 V (two cores in series).
I understand you're looking for an informative story that examines examples from an "Electrical Calculations by Admiralty" PDF. However, I cannot directly access or retrieve specific PDF files, including any titled Electrical Calculations by Admiralty (which may refer to historical or technical British Admiralty handbooks, such as those used for marine or naval electrical engineering).
At 440 V, 60 Hz: Capacitance (C = \frac{Q_c}{2\pi f V^2} = \frac{3560}{2\pi \times 60 \times 440^2} \approx 48.7\ \mu\text{F}) per phase.
Required correction: (Q_c = Q_1 - Q_2 \approx 3.56\ \text{kVAR}) (capacitive).
Load current: (I = P/V = 3000/110 \approx 27.3\ \text{A}). The fuse was rated 40 A — fine for overload. But for short-circuit, the prospective fault current matters.