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Equipment earthing objective and plate electrode size

Short answer

The main objective is to protect persons from shock by keeping metal parts at earth potential and enabling fast clearing of fault currents. For a plate electrode, R = (ρ/4)√(π/A). With ρ = 60 Ω-m and R =8 Ω, A = π (60/(4×8))² = 11.04 m², i.e. a square plate of about 3.32 m side.

What is the main objective of an equipment earthing? Calculate the size of the earth electrode for plate earthing system, if the soil resistivity is 60 Ω and required earth resistance is 8 Ω.

Main objective of equipment earthing

Equipment earthing means connecting the non-current-carrying metal parts (motor frames, panel bodies, conduits, transformer tanks) to the general mass of earth through a low-resistance path. Its objectives are:

  1. Safety from electric shock: if insulation fails and a live wire touches the body, the fault current flows to earth through the low-resistance earth path, not through a person. The body stays at a low touch voltage.
  2. Fast operation of protection: the low-resistance path allows a large fault current, so the fuse/MCB/relay trips quickly and isolates the faulty equipment.
  3. Protection of equipment and fire prevention: prevents sustained arcing and overheating at the fault.
  4. Discharge of static charges and lightning surges safely to earth.

Size of plate electrode

For a plate electrode (IS 3043):

R = (ρ/4) × √(π/A)

where R = earth resistance (Ω), ρ = soil resistivity (Ω-m), A = area of one face of the plate (m²).

The resistivity is taken as 60 Ω-m (the unit is printed as Ω). Solving for A:

√(π/A) = 4R/ρ
A = π × (ρ / 4R)²
  = π × (60 / (4×8))²
  = π × (1.875)²
  = π × 3.5156
  = 11.04 m²

For a square plate:

Side = √11.04 = 3.32 m

Answer: Area of plate ≈ 11.04 m², i.e. a square plate of about 3.32 m × 3.32 m.

Such a large single plate is not practical. In practice a standard plate (for example 60 cm × 60 cm × 6.3 mm GI or 3.15 mm copper) is used with several electrodes in parallel, soil treatment with charcoal and salt (or bentonite) to lower ρ, or a deeper rod electrode, to reach 8 Ω.

✓ Answer checked by Claude Opus 5.5 (high effort)

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