American Wire Gauge (AWG): What is the diameter in mils (thousandths of an inch) of 22-AWG copper wire?
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A10.03 mils
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B22.35 mils
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C25.30 mils
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D45.26 mils
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E71.96 mils
Answer
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