Faraday's Law for Cathodic Protection

Faraday's Law connects electric current and time to metal consumption. In cathodic protection study, it supports corrosion-rate reasoning, galvanic anode life estimates, and the relationship between current flow and metal loss.

Formula

Weight loss = K × I × T

SymbolMeaningCommon Unit
KElectrochemical equivalent or consumption ratekg/A-year or lb/A-year
ICurrentamps
TTimeyears

Worked Example 1: Metal Consumption

An anode material has a consumption rate of 4.0 kg/A-year. It discharges 0.25 amps for 10 years. Estimate theoretical consumption.

Weight = K × I × T

Weight = 4.0 × 0.25 × 10

Weight = 10 kg

The theoretical metal consumption is 10 kg before considering utilization and efficiency assumptions.

Worked Example 2: Why Current Direction Matters

Faraday's Law explains why discharge current is dangerous at an anodic area. If metal is discharging current into the electrolyte, metal loss can occur at that location. If the same structure area receives protective current, corrosion rate is reduced rather than increased.

Relation to Anode Life

Anode life calculations are practical applications of Faraday-type reasoning. They estimate whether the installed anode mass and output can support the intended service life after accounting for utilization and efficiency.

Interpretation Notes

  • Current, time, and material type all affect predicted metal consumption.
  • Higher discharge current means greater theoretical metal loss over the same time.
  • Galvanic anode life estimates require realistic output assumptions.
  • Faraday calculations do not replace field measurements or CP criteria.

Common Mistakes

Wrong Time Unit

If K is in per amp-year, time must be in years.

Ignoring Utilization

An installed anode normally cannot be assumed to consume 100 percent of its weight usefully.

Missing Direction

Magnitude alone is not enough. Current pickup and current discharge have different corrosion implications.

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