A BIG spool of copper wire has a resistance of 8 2 as measured from end of the wire to the other. If the wire has a diameter of 3.0 mm and if copper has a resistivity of 1.68x10-8 m, find the length of the wire in meters.

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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter17: Current And Resistance
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19 please need help, keep in mind the 7 basic units and watch the sig figs. Please write in standard form need to see all the numbers in solution thank you so much
A BIG spool of copper wire has a resistance of 8 2 as measured from end of the wire
to the other. If the wire has a diameter of 3.0 mm and if copper has a resistivity of
1.68x10-8 m, find the length of the wire in meters.
Your Answer:
Transcribed Image Text:A BIG spool of copper wire has a resistance of 8 2 as measured from end of the wire to the other. If the wire has a diameter of 3.0 mm and if copper has a resistivity of 1.68x10-8 m, find the length of the wire in meters. Your Answer:
Expert Solution
Concept

Given: Diameter of wire d=3 mm, Radius of wire r=d2=3 mm2=1.5 mm=1.5×10-3 m, Resistivity of wire ρ=1.68×10-8 Ω m, Resistance of wire R=8 Ω.

Required: Length of the wire L.

Resistance of a wire of length L and area of cross section A is given by, R=ρ LA, where ρ is resistivity of wire. 

R=ρ LA=ρ Lπ r2

L=π r2 Rρ

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