A long cylindrical conductor of radius R carries a current I as shown below left. The current density J, however, is not uniform over the cross section of the conductor but is a function of the radius according to J = br, where b is a constant. Find an expression for the magnetic field B (a) at a distance r₁ < R and (b) at a distance r₂ > R, measured from the axis. 12 R I

University Physics Volume 2
18th Edition
ISBN:9781938168161
Author:OpenStax
Publisher:OpenStax
Chapter12: Sources Of Magnetic Fields
Section: Chapter Questions
Problem 47P: A long, solid, cylindrical conductor of radius 3.0 cm carries a current of 50 A distributed...
icon
Related questions
Question

A long cylindrical conductor of radius R carries a current I as shown below left. The current density J, however, is not uniform over the cross section of the conductor but is a function of the radius according to J = br, where b is a constant. Find an expression for the magnetic field B (a) at a distance r1 < R and (b) at a distance r2 > R, measured from the axis. 

A long cylindrical conductor of radius R carries a current I as shown below left. The current density J, however, is not
uniform over the cross section of the conductor but is a function of the radius according to J = br, where b is a
constant. Find an expression for the magnetic field B (a) at a distance r₁ < R and (b) at a distance r₂ > R, measured
from the axis.
12
R
I
Transcribed Image Text:A long cylindrical conductor of radius R carries a current I as shown below left. The current density J, however, is not uniform over the cross section of the conductor but is a function of the radius according to J = br, where b is a constant. Find an expression for the magnetic field B (a) at a distance r₁ < R and (b) at a distance r₂ > R, measured from the axis. 12 R I
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Magnetic field
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
University Physics Volume 2
University Physics Volume 2
Physics
ISBN:
9781938168161
Author:
OpenStax
Publisher:
OpenStax
Glencoe Physics: Principles and Problems, Student…
Glencoe Physics: Principles and Problems, Student…
Physics
ISBN:
9780078807213
Author:
Paul W. Zitzewitz
Publisher:
Glencoe/McGraw-Hill
Physics for Scientists and Engineers: Foundations…
Physics for Scientists and Engineers: Foundations…
Physics
ISBN:
9781133939146
Author:
Katz, Debora M.
Publisher:
Cengage Learning
Principles of Physics: A Calculus-Based Text
Principles of Physics: A Calculus-Based Text
Physics
ISBN:
9781133104261
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning