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 wireto the other. If the wire has a diameter of 3.0 mm and if copper has a resistivity of1.68x10-8 m, find the length of the wire in meters.Your Answer:

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…

Answered: A BIG spool of copper wire has a…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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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:

Expert Solution

Concept

Given: Diameter of wire $d = 3 m m$ , Radius of wire $r = \frac{d}{2} = \frac{3 m m}{2} = 1.5 m m = 1.5 \times 10^{- 3} m$ , Resistivity of wire $ρ = 1.68 \times 10^{- 8} Ω m$ , 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, $R = \frac{ρ L}{A}$ , where $ρ$ is resistivity of wire.

$R = \frac{ρ L}{A} = \frac{ρ L}{π r^{2}}$

$L = \frac{π r^{2} R}{ρ}$

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