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A long, straight wire has a radius R=0.5cm and carries a current I=10A that is NOT uniformly distributed over the cross-sectional area of the wire. It is found that the current density of the wire j depends linearly on the radius r, that is j(r)= jo r /R. a. Find jo. What physical quantity does it represent? b. Using Ampere's Law, derive the general expression for B as a function of r for rR. Then find the direction and

A long, straight wire has a radius R=0.5cm and carries a current I=10A that is NOT uniformly distributed over the cross-sectional area of the wire. It is found that the current density of the wire j depends linearly on the radius r, that is j(r)= jo r /R. a. Find jo. What physical quantity does it represent? b. Using Ampere's Law, derive the general expression for B as a function of r for rR. Then find the direction and

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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A long, straight wire has a radius R=0.5cm and carries a current I=10A that is NOT uniformly distributed over the cross-sectional area of the wire. It is found that the current density of the wire j depends linearly on the radius r, that is j(r)= jo r /R. a. Find jo. What physical quantity does it represent? b. Using Ampere's Law, derive the general expression for B as a function of r for r<R. Then find the direction and magnitude of magnetic field at r=0.3 cm. c. Derive the general expression for B as a function of r for r>R. Then find the direction and magnitude of the magnetic field at r=0.8 cm.
Transcribed Image Text:A long, straight wire has a radius R=0.5cm and carries a current I=10A that is NOT uniformly distributed over the cross-sectional area of the wire. It is found that the current density of the wire j depends linearly on the radius r, that is j(r)= jo r /R. a. Find jo. What physical quantity does it represent? b. Using Ampere's Law, derive the general expression for B as a function of r for r<R. Then find the direction and magnitude of magnetic field at r=0.3 cm. c. Derive the general expression for B as a function of r for r>R. Then find the direction and magnitude of the magnetic field at r=0.8 cm.
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