Answered: How long is a wire made from 100 cm³ of…

How long is a wire made from 100 cm³ of copper if its resistance is 4.00 ohms? The resistivity of copper is 1.70 × 10 8 Q:m.

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter9: Current And Resistance

Section: Chapter Questions

Problem 47P: (a) Of what material is a wire made, if it is 25.0 m long with a diameter of 0.100 mm and has a...

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Concept explainers

Temperature Variance of Resistance

Electrical resistance or simply resistance is the property of a material that opposes the free flow of electrons through it. The total amount of resistance to the flow of charges (or current) is affected by many factors like the length of the conducting material, its cross-sectional area, resistivity, and temperature.

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Expert Solution

Step 1

Given data:

The volume of the wire is $V = 100 c m^{3}$
The resistance is R=4.00 ohm
The resistivity of copper is $ρ = 1.70 \times 10^{- 8} Ω m$

The expression for the resistivity is:

$ρ = \frac{R A}{L} ρ = \frac{R A \times L}{L \times L} ρ = \frac{R V}{L^{2}}$

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