Testing & protection / FORMULA-BASED TOOL

Ring final circuit test calculator

Expected readings for the ring final cross-connection test, from the end-to-end resistances r1, rn and r2.

01Your inputs

Example values are prefilled. Replace them with your own.

Ω
Ω
Ω
02The working, shownr/4
r/4

Every result has a reason.

Enter your values and calculate to see the result, formula and working here.

Reading at position a = [a·r1 + (1 − a)·r2] × [(1 − a)·r1 + a·r2] ÷ (r1 + r2); highest at the midpoint = (r1 + r2) ÷ 4

Within this model

A ring of uniform conductors with the ends cross-connected as in the standard test, and readings taken at points on the ring itself. Spurs add their own resistance. Test lead resistance is excluded. This does not assess continuity, polarity or compliance.

UNDERSTAND THE CALCULATION

What the numbers mean.

Cross-connecting the ends makes every socket a meeting point of two parallel paths. When r1 = rn, every point on the ring reads (r1 + rn) ÷ 4; line and neutral of the same size normally measure close to equal. When the conductors differ, as with 2.5 mm² line and 1.5 mm² CPC, the reading peaks at (r1 + r2) ÷ 4 at the midpoint and is slightly lower towards the ends. The highest line–CPC reading is the circuit's R1 + R2.

Formula reference: IET Wiring Matters · Resistance readings for step 3 of the ring final circuit test ↗

A worked example

r1 = 0.52 Ω and r2 = 0.86 Ω: the highest line–CPC reading, at the midpoint, is (0.52 + 0.86) ÷ 4 = 0.345 Ω. Next to the ends it falls to 0.52 × 0.86 ÷ 1.38 ≈ 0.32405797 Ω.

Validation, precision and limitations