What is the current in a wire of radius R = 2.83 mm if the magnitude of the current density is given by (a) J, - Jor/R and (b) J, = Jo(1-r/R) in which r is the radial distance and Jo = 7.58 x 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 = 2.83 mm if the magnitude of the current density is given by (a) J, - Jor/R and (b) J, = Jo(1-r/R) in which r is the radial distance and Jo = 7.58 x 104 A/m2? (c) Which function maximizes the current density near the wire's surface?

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter28: Current And Resistance

Section: Chapter Questions

Problem 65PQ

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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 = 2.83 mm if the magnitude of the current density is given by (a) J, - Jor/R and (b) J, = Jo(1-r/R)
in which r is the radial distance and Jo = 7.58 x 104 A/m2? (c) Which function maximizes the current
density near the wire's surface?
(a) Number
i
Units
(b) Number
i
Units
(c)

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