**Problem:**A certain metal wire has a cross-sectional area of \(1.0 \, \text{cm}^2\) and a resistivity of \(1.7 \times 10^{-8} \, \Omega \cdot \text{m}\). What should be the length of the wire to have a resistance of \(1.0 \, \Omega\)?**Options:**- \(5.9 \times 10^6 \, \text{m}\)- \(5.9 \, \text{m}\)- \(5900 \, \text{m}\)- \(590 \, \text{m}\)- \(59 \, \text{m}\)

Given data: Area (A) = 1.0 cm2 = 1.0×10-4 m2 Resistivity (ρ) = 1.7×10-8 Ω.m Resistance (R) = 1.0 Ω…

A certain metal wire has a cross-sectional area of 1.0 cm² and a resistivity of 1.7 x 10-8. m. What should be the length of the wire to have a resistance of 1.0 ? O 5.9 × 106 m O 5.9 m O 5900 m 590 m O 59 m

A certain metal wire has a cross-sectional area of 1.0 cm² and a resistivity of 1.7 x 10-8. m. What should be the length of the wire to have a resistance of 1.0 ? O 5.9 × 106 m O 5.9 m O 5900 m 590 m O 59 m

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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Concept explainers

Resistivity

Resistivity is a characteristic property of the conductor’s material that measures the extent to which the material opposes the flow of current. It is denoted by the Greek letter “rho”. Electrical resistivity, also known as specific resistance, depends on the nature of the material of the conductor and is unaffected by its dimensions.

Question

**Problem:**

A certain metal wire has a cross-sectional area of \(1.0 \, \text{cm}^2\) and a resistivity of \(1.7 \times 10^{-8} \, \Omega \cdot \text{m}\). What should be the length of the wire to have a resistance of \(1.0 \, \Omega\)?

**Options:**

- \(5.9 \times 10^6 \, \text{m}\)
- \(5.9 \, \text{m}\)
- \(5900 \, \text{m}\)
- \(590 \, \text{m}\)
- \(59 \, \text{m}\)

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