At the left end. the resistivity is 2.25*10-8 Ω.m and the right side is 4.50*10-8m. (a) What is the resistance of this rod? (b) What is the electric field at half its length if it carries a current of 1.24 A? (c) If we cut the rod into two segments of 25.0 cm, what is the resistance of each half

At the left end. the resistivity is 2.2510-8 Ω.m and the right side is 4.5010-8m. (a) What is the resistance of this rod? (b) What is the electric field at half its length if it carries a current of 1.24 A? (c) If we cut the rod into two segments of 25.0 cm, what is the resistance of each half

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 63P

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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

A 1.50 m cylinder with a radius of 1.10 cm is made of a complex mixture of materials. Its resistivity depends on the distance x from the left end and obeys the formula p(x) = a + bx², where a and b are constants. At the left end. the resistivity is 2.25*10^-8 Ω.m and the right side is 4.50*10^-8m.

(a) What is the resistance of this rod?

(b) What is the electric field at half its length if it carries a current of 1.24 A?

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