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
Electricity for Refrigeration, Heating, and Air Conditioning (MindTap Course List)
10th Edition
ISBN:9781337399128
Author:Russell E. Smith
Publisher:Russell E. Smith
Chapter12: Electronic Control Devices
Section: Chapter Questions
Problem 14RQ
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9de2b0ed-01a2-4a8a-9b30-8cd619de91d2%2Fa324dcf8-5782-4951-b47d-3555a5afb443%2Fthmp79_processed.png&w=3840&q=75)
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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