American Wire Gauge (AWG): What is the diameter in mils (thousandths of an inch) of 22-AWG copper wire?

Difficulty: Medium

Correct Answer: 25.30 mils

Explanation:


Introduction / Context:
Technicians frequently convert between American Wire Gauge (AWG) and physical diameter for connector selection, current-carrying capacity, and estimating resistance per length. Mils (0.001 inch) provide a convenient imperial measure of small diameters.


Given Data / Assumptions:

  • Standard AWG system (Brown & Sharpe).
  • Requested size: 22 AWG copper wire.
  • 1 mil = 0.001 inch.


Concept / Approach:

AWG sizes follow a logarithmic relation: diameter d(n) in inches = 0.005 inch * 92^((36 − n)/39). While this formula is exact, many practitioners memorize common sizes (e.g., 20 AWG ≈ 0.0320 in, 22 AWG ≈ 0.0253 in, 24 AWG ≈ 0.0201 in). Converting inches to mils multiplies by 1000.


Step-by-Step Solution:

Recall diameter for 22 AWG ≈ 0.0253 inch.Convert to mils: 0.0253 inch × 1000 = 25.3 mils.Express to two decimals: 25.30 mils.


Verification / Alternative check:

Use the AWG formula: d(22) = 0.005 × 92^((36 − 22)/39) ≈ 0.0253 in. Tables in handbooks corroborate 22 AWG ≈ 0.0253 in (25.3 mils), cross-sectional area ≈ 642 circular mils.


Why Other Options Are Wrong:

  • 10.03 mils: far too small (closer to ~30 AWG).
  • 22.35 mils: somewhat smaller than true; not the standard value.
  • 45.26 and 71.96 mils: much larger; correspond to far lower gauge numbers (thicker wires).


Common Pitfalls:

  • Confusing circular mil area with diameter in mils; they are different quantities.
  • Mixing SWG (Standard Wire Gauge) with AWG, which yields different diameters.


Final Answer:

25.30 mils

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