25.69 A 1.50-m cylinder of radius 1.10 cm is made of a complicated mixture of materials. Its resistivity depends on the distance x from the left end and obeys the formula rho(x) = a + bx2, where a and b are constants. At the left end, the resistivity is 2.25 X 10-8 Ohm-meters, while at the right end it is 8.50 X 10-8 Ohm-meters. (a) What is the resistance of this rod? (b) What is the electric field at its midpoint if it carries a 1.75-A current?

25.69 A 1.50-m cylinder of radius 1.10 cm is made of a complicated mixture of materials. Its resistivity depends on the distance x from the left end and obeys the formula rho(x) = a + bx2, where a and b are constants. At the left end, the resistivity is 2.25 X 10-8 Ohm-meters, while at the right end it is 8.50 X 10-8 Ohm-meters. (a) What is the resistance of this rod? (b) What is the electric field at its midpoint if it carries a 1.75-A current?

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

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.

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25.69 A 1.50-m cylinder of radius 1.10 cm is made of a complicated mixture of materials. Its resistivity depends on the distance x from the left end and obeys the formula rho(x) = a + bx², where a and b are constants. At the left end, the resistivity is 2.25 X 10^-⁸ Ohm-meters, while at the right end it is 8.50 X 10^-⁸ Ohm-meters. (a) What is the resistance of this rod? (b) What is the electric field at its midpoint if it carries a 1.75-A current?

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