Two wires have the same resistance and radius. If the wires are made of iron and gold with resistivities respectively of 10.0 ✕ 10−8 Ω · m and 2.44 ✕ 10−8 Ω · m, determine the ratio of their lengths.

Two wires have the same resistance and radius. If the wires are made of iron and gold with resistivities respectively of 10.0 ✕ 10−8 Ω · m and 2.44 ✕ 10−8 Ω · m, determine the ratio of their lengths.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter21: Current And Direct Current Circuits

Section: Chapter Questions

Problem 14P

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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

Two wires have the same resistance and radius. If the wires are made of iron and gold with resistivities respectively of 10.0 ✕ 10⁻⁸ Ω · m and 2.44 ✕ 10⁻⁸ Ω · m, determine the ratio of their lengths.

L_Fe

L_Au

= ?

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