Earth Rod Resistance Calculator

See whether one rod meets your earthing target, or how many you need.

How it is calculated

The resistance of one vertical rod follows the Dwight (IEEE 142) formula: R = ρ / (2π L) × (ln(8L / d) − 1). Here ρ is soil resistivity in Ω·m, L is the driven length in metres and d is the rod diameter, entered in millimetres and converted to metres. The tool then divides by your target: rods = ceil(R / target), never fewer than 1, and shows R / rods as the resistance of that many rods. That last figure is an ideal parallel value that assumes the rods are at least one rod length apart; closer rods do worse. A blank target defaults to 5 Ω. Because the formula only holds for slender rods, the tool gives no result when length ÷ diameter is below 10 (a 3 m rod must be at most 300 mm thick), or when any value is zero or negative. Resistivity changes with moisture and season, so a measurement on site is the final check.

Worked example

Soil resistivity 100 Ω·m, a 3 m rod of 16 mm diameter, target 5 Ω. The diameter is 0.016 m. 8L/d = 24 / 0.016 = 1500, and ln(1500) ≈ 7.313, minus 1 gives 6.313. The factor ρ / (2πL) = 100 / 18.85 ≈ 5.305. R = 5.305 × 6.313 ≈ 33.49 Ω for one rod. Rods needed = ceil(33.49 / 5) = ceil(6.7) = 7. With 7 rods, 33.49 / 7 = 4.78 Ω, under the 5 Ω target.

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Common mistakes

  • Entering the diameter in centimetres or metres. It is in millimetres: a 16 mm rod is 16. Typing 1600 for a 1.6 m figure would be rejected as a rod far too fat for its length.
  • Using a resistivity from a wet spell for a year-round design. The value changes with moisture and soil type, so use a figure that fits the driest likely conditions.
  • Expecting a fatter rod to fix a high result. Diameter sits inside a logarithm and has little effect; more length or more rods lowers the resistance far more.
  • Reading the multi-rod figure as a guarantee. It is the ideal parallel value; rods driven closer than about one rod length apart share the same soil, and the real result is higher.
  • Putting an ohm value in the resistivity field. That field is soil resistivity in Ω·m, and the target in Ω is a different box. A target of 0 or less gives no result.

About this calculator

The Dwight formula calculates the electrical resistance to earth of a single driven earth (ground) rod as a function of the soil's resistivity (how strongly the surrounding earth resists current flow, measured in ohm-metres and highly dependent on soil moisture and composition), the rod's driven length, and its diameter — resistance decreases as the rod is driven deeper (with diminishing returns) but is far less sensitive to the rod's diameter, which is why adding length or adding parallel rods is the standard way to lower resistance, not switching to a fatter rod.

Electricians and electrical engineers calculate this when designing an earthing (grounding) system for a building, because most electrical codes specify a target maximum earth resistance (for example 25 ohms or lower for many installations, tighter for sensitive equipment or lightning protection systems) that a single rod often can't meet in dry, sandy, or rocky soil — meaning the calculation tells you whether one rod suffices or how many parallel rods, spaced appropriately, are needed to hit the target.

This calculator takes your soil resistivity (ohm-metres), rod length (metres), rod diameter (millimetres) and a target resistance (5 ohms if left blank), and returns the resistance of a single rod using the Dwight formula, the number of rods needed to reach the target and the ideal resulting parallel resistance, assuming the rods are spaced at least one rod length apart. The formula only holds for slender rods, so a rod whose length is less than 10 times its diameter gives no result.

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