What is the current in a wire of radius R = 4.48 mm if the magnitude of the current density is given by (a) Ja = J0r/R and (b) Jb = J0(1 - r/R) in which r is the radial distance and J0 = 7.93 × 104 A/m2? (c) Which function maximizes the current density near the wire’s surface?

What is the current in a wire of radius R = 4.48 mm if the magnitude of the current density is given by (a) Ja = J0r/R and (b) Jb = J0(1 - r/R) in which r is the radial distance and J0 = 7.93 × 104 A/m2? (c) Which function maximizes the current density near the wire’s surface?

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter9: Current And Resistance

Section: Chapter Questions

Problem 31P: Consider a wire of a circular cross-section with a radius of R = 3.00mm. The magnitude of the...

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Concept explainers

Microscopic view of current

In physics, the term current is expressed as the rate of flow of electric charges across the area per unit time (I=q/t). It propagates along in the direction of the motion of positive charges. When the current is caused by the motion of electrons, the direction of the current is opposite to the flow.

Question

What is the current in a wire of radius R = 4.48 mm if the magnitude of the current density is given by (a) J_a = J₀r/R and (b) J_b = J₀(1 - r/R) in which r is the radial distance and J₀ = 7.93 × 10⁴ A/m²? (c) Which function maximizes the current
density near the wire’s surface?

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