The instructions for an electric lawn mower suggest that a 20-gauge extension cord can be used for distances up to 35 m, but a thicker 16-gauge cord should be used for longer distances, to keep the resistance of the wire as small as possible. The cross-sectional area of 20-gauge wire is 5.2 × 10 -7 m², while that of 16-gauge wire is 13 × 10 -7 m². Determine the resistance of: (a) 35 m of 20-gauge copper wire and

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Author:Raymond A. Serway, John W. Jewett
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Chapter27: Current And Resistance
Section: Chapter Questions
Problem 27.75AP: Review. When a straight wire is warmed, its resistance is given by R = R0,[1 + a(T T0)] according...
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The instructions for an electric lawn mower suggest that a
20-gauge extension cord can be used for distances up to 35 m,
but a thicker 16-gauge cord should be used for longer distances,
to keep the resistance of the wire as small as possible. The
cross-sectional area of 20-gauge wire is 5.2 × 10 -7 m², while
that of 16-gauge wire is 13 x 10 –7 m². Determine the resistance
of:
(a) 35 m of 20-gauge copper wire and
(b) 75 m of 16-gauge copper wire.
Transcribed Image Text:The instructions for an electric lawn mower suggest that a 20-gauge extension cord can be used for distances up to 35 m, but a thicker 16-gauge cord should be used for longer distances, to keep the resistance of the wire as small as possible. The cross-sectional area of 20-gauge wire is 5.2 × 10 -7 m², while that of 16-gauge wire is 13 x 10 –7 m². Determine the resistance of: (a) 35 m of 20-gauge copper wire and (b) 75 m of 16-gauge copper wire.
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