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K = 12.9: Where the Shortcut Comes From

By Murugan Vellaichamy · 2026-03-12 · 5 min read

Ask two electricians to size the same circuit and you may watch two different calculations produce the same wire. One used Table 8 resistance; the other used K = 12.9. Both are right — here is the relationship.

Table 8: the measured route

NEC Chapter 9, Table 8 lists DC resistance per 1000 ft for every conductor at 75 °C. The drop formula uses it directly: Vd = 2 × I × L × R / 1000. It is the more precise method and the one this site's calculator uses — every size carries its own measured value.

K-factor: the field route

K asks: what is the resistance of a conductor 1 foot long and 1 circular mil in area? For copper at 75 °C, K ≈ 12.9 Ω·cmil/ft (21.2 for aluminum). Then Vd = 2 × K × I × L / CM — one constant, one formula, any size, and crucially it inverts cleanly for sizing: CM = 2 × K × I × L / Vd, then round up to the next size in the chart. That algebraic inversion is why exam prep and field work love it.

Why they disagree by 2%

Resistance per cmil is not perfectly constant across sizes — stranding and skin-area effects drift the true value slightly, and 12.9 is a representative rounding. On 12 AWG at 20 A and 100 ft, Table 8 gives 7.72 V; K gives 7.90 V. The discrepancy almost never changes the chosen size, and when a result lands within a few percent of a budget boundary, the honest move is the next size up regardless of method.

Use K when solving by hand for a size; use Table 8 (or this site) when verifying a design. Both beat guessing by a country mile.

Built & maintained by Murugan Vellaichamy · Every calculation verified against NEC Chapter 9 Table 8 & Table 310.16 published values · Informational reference — not engineering advice