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= 2.05 x 105 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 11.1 um and is at a radial distance of 1.40 mm? Number i Units +

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter28: Current And Resistance
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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 = 2.05 x 105 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 11.1 μm and is at a radial distance of 1.40 mm?
Number
i
Units
+
Transcribed Image Text: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 = 2.05 x 105 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 11.1 μm and is at a radial distance of 1.40 mm? Number i Units +
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