A cylindrical conductor has resistance of R0 = 120 Ω. It has length L, radius of the cross section r, and resistivity ρ. Part (a) Express the resistance in terms of L, r, ρ. R0 = P L/π r2 This equation is incorrect Part (b) If the resistivity increases by a factor of 5, what would the value of the new resistance be, in ohms? Rρ =600 Part (c) If the resistivity was restored to its original value and instead the length of the conductor decreased by a factor of 5, what would the value of the new resistance be, in ohms? Rl =

A cylindrical conductor has resistance of R0 = 120 Ω. It has length L, radius of the cross section r, and resistivity ρ. Part (a) Express the resistance in terms of L, r, ρ. R0 = P L/π r2 This equation is incorrect Part (b) If the resistivity increases by a factor of 5, what would the value of the new resistance be, in ohms? Rρ =600 Part (c) If the resistivity was restored to its original value and instead the length of the conductor decreased by a factor of 5, what would the value of the new resistance be, in ohms? Rl =

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter9: Current And Resistance

Section: Chapter Questions

Problem 70AP: A 10.00-meter long wire cable that is made of copper has a resistance of 0.051 ohms, (a) What is the...

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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.

Question

A cylindrical conductor has resistance of R₀ = 120 Ω. It has length L, radius of the cross section r, and resistivity ρ.

Part (a) Express the resistance in terms of L, r, ρ.

R₀ =

P L/π r²

This equation is incorrect

Part (b) If the resistivity increases by a factor of 5, what would the value of the new resistance be, in ohms?

R_ρ =600

Part (c) If the resistivity was restored to its original value and instead the length of the conductor decreased by a factor of 5, what would the value of the new resistance be, in ohms?

R_l =

Part (d) If the resistivity and length of the conductor were at their original values and the radius of the conductor increased by a factor of 4, what would be the value of the new resistance, in ohms?

R_r =

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