The magnitude J(r) of the current density in a certain cylindrical wire is given as a function of radial distance from the center of the wire’s cross section as J(r) = Br, where r is in meters, J is in amperes per square meter, and B =2.00 * 10^5 A/m3.This function applies out to the wire’s radius of 2.00 mm. How much current is contained within the width of a thin ring concentric with the wire if the ring has a radial width of 10.0 mm and is at a radial distance of 1.20 mm?
The magnitude J(r) of the current density in a certain cylindrical wire is given as a function of radial distance from the center of the wire’s cross section as J(r) = Br, where r is in meters, J is in amperes per square meter, and B =2.00 * 10^5 A/m3.This function applies out to the wire’s radius of 2.00 mm. How much current is contained within the width of a thin ring concentric with the wire if the ring has a radial width of 10.0 mm and is at a radial distance of 1.20 mm?
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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Question
The magnitude J(r) of the current density in a certain cylindrical
wire is given as a function of radial distance from the center
of the wire’s cross section as J(r) = Br, where r is in meters, J is in
amperes per square meter, and B =2.00 * 10^5 A/m3.This function
applies out to the wire’s radius of 2.00 mm. How much current is
contained within the width of a thin ring concentric with the wire if
the ring has a radial width of 10.0 mm and is at a radial distance of
1.20 mm?
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