What is the current in a wire of radius R= 3.7 mm if the magnitude of the current density is given by Ja = Jor/R? What is the current if the current density is given by Jb = Jo(1 – r/R)? In both r is the radial distance and Jo = 5.50 × 10¹ A/m². Which function, Ja or J, maximizes the current density near the wire's surface?

What is the current in a wire of radius R= 3.7 mm if the magnitude of the current density is given by Ja = Jor/R? What is the current if the current density is given by Jb = Jo(1 – r/R)? In both r is the radial distance and Jo = 5.50 × 10¹ A/m². Which function, Ja or J, maximizes the current density near the wire's surface?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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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= 3.7 mm if the magnitude of the current
density is given by Ja Jor/R? What is the current if the current density is given
by Jb = Jo(1 – r/R)? In both r is the radial distance and Jo = 5.50 × 10¹ A/m².
Which function, Ja or Jb, maximizes the current density near the wire's surface?

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Step 1: Introduce the formula of current

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Step 2: Determine the given variables

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Step 3: Determine the current when current density is Ja

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Step 4: Calculate the current when current density is Jb

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Step 5: Determine the density which maximizes at surface

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