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A preliminary Ib ≤ In ≤ Iz breaker relationship check

Ib, In and Iz are a useful first check, but they do not determine breaking capacity, selectivity or fault protection.

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Published 15 September 2026

Low-voltage distribution board fitted with several circuit breakers

What the helper actually checks

The relationship Ib ≤ In ≤ Iz compares three different currents. Ib is the expected design current. In is the protective device’s nominal rating. Iz is the corrected current-carrying capacity of the cable under the assessed installation conditions.

If design current is 20 A and corrected cable capacity is 32 A, a 20 A, 25 A or 32 A nominal rating may satisfy the simple inequality. Which device is appropriate still depends on factors the inequality does not address.

Why a passing rating is not a completed design

A breaker must be able to interrupt the prospective fault current at its installation point. Its time-current behavior must protect conductors and work with downstream and upstream devices. Some circuits need residual-current protection, motor starting accommodation or special load characteristics.

None of those questions can be answered from Ib and Iz alone. The helper intentionally avoids producing a breaking-capacity value or saying that a candidate is compliant.

Keep inputs traceable

Design current should come from the actual load assessment. Corrected cable capacity should come from a reviewed cable-sizing calculation using applicable installation data. A nominal rating series should represent devices genuinely under consideration rather than a generic list copied without context.

Pole count and curve labels are descriptive in this tool. They help record a concept but do not perform coordination or fault-protection calculations.

A useful sequence

  1. Establish the circuit design current.
  2. Determine corrected cable capacity using traceable data.
  3. Identify nominal ratings that satisfy the preliminary relationship.
  4. Complete short-circuit, earth-fault, breaking-capacity, selectivity and product-specific checks.

Used this way, the helper documents one transparent boundary instead of pretending that a single current comparison selects a complete protective device.

Design current, nominal breaker rating and cable capacity shown in order
The basic relation places the nominal breaker rating between design current and corrected cable capacity.

Sources and limits

Preliminary engineering aid only. The helper does not calculate fault current, breaking capacity, earth-fault protection, selectivity, energy let-through or regulatory compliance.

Verify applicable laws, standards, manufacturer data and project conditions with a qualified electrical professional before construction, procurement or regulatory submission.

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