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Calculations with household circuit wire The maximum recommended current in a 12-gauge (r = 1.03 mm) copper wire used in household circuits is 20A (a) What is the resistance of a 1-meter long section of that 12-gauge wire? (b) What is the potential difference across that section when the current is 20 A?

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Answer #1

(a) The resistance will be

1.72 × 10-8 × 1 3.14 × (1.03×10-3)2 = 5.16 × 10-312 TI.2 -

(b) The potential difference is

V = IR = 20\times5.16\times10^{-3} = 0.1V

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