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Earthing System Calculator — BS 7671

Calculate earth electrode resistance using the BS 7430 rod formula for TN-S, TN-C-S (PME), and TT earthing systems, and check it against the BS 7671 acceptance criteria. Determine rod length and number needed from soil resistivity.

Standard sections: 1.2m, 2.4m, 3.6m

Parallel rods reduce resistance

Safety notice

Electrical work in dwellings can be notifiable under Part P of the Building Regulations. Treat these figures as planning guidance only: circuits must be designed, installed and certified to BS 7671 by a competent person, normally a registered electrician.

How We Calculate This

This calculator estimates earth electrode resistance using the single vertical rod formula from BS 7430:2011+A1:2015 (the UK code of practice for protective earthing). BS 7671 sets the acceptance criteria for the result, not the resistance formula itself.

Single rod formula (BS 7430)

R = (ρ ÷ 2πL) × [ln(8L ÷ d) − 1]

Where ρ = soil resistivity (Ω·m), L = rod length (m), d = rod diameter (m).

Multiple rods in parallel (BS 7430)

R = R₁ × (1 + λa) ÷ n, where a = ρ ÷ (2π · R₁ · S)

R₁ = single-rod resistance, n = number of rods, S = spacing between rods (m), and λ is the BS 7430 Table 2 arrangement factor for rods in a line (1.0 for 2 rods, 1.66 for 3, 2.15 for 4…). Mutual coupling means the combined resistance is always higherthan R₁÷n — never a perfect halving. Space rods at least twice their driven length apart for the best benefit.

Typical Ze Values

  • TN-S: 0.35–0.8Ω (cable sheath earth)
  • TN-C-S (PME): 0.2–0.35Ω (combined neutral-earth)
  • TT: Depends on electrode — typically 20–200Ω

Working figures for this are collected in our Earth Electrode Resistance reference table.

Frequently Asked Questions

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Last updated: March 2026

Verified against UK standards · estimates only, confirm with your supplier.