Question

A solid conductor with radius $a$ is supported by insulating disks on the axis of a conducting tube with inner radius $b$ and outer radius c ($\textbf{Fig. E28.43}$). The central conductor and tube carry equal currents $I$ in opposite directions. The currents are distributed uniformly over the cross sections of each conductor. Derive an expression for the magnitude of the magnetic field (a) at points outside the central, solid conductor but inside the tube (a < r < b) and (b) at points outside the tube 1(r > c).

Name: Problem 43, Chapter 28: University Physics with Modern Physics
Uploaded: 2021-03-22T07:53:39-08:00
Duration: 3 min 36 s
Channel: Sheh Lit Chang

   A solid conductor with radius $a$ is supported by insulating disks on the axis of a conducting tube with inner radius $b$ and outer radius c ($\textbf{Fig. E28.43}$). The central conductor and tube carry equal currents $I$ in opposite directions. The currents are distributed uniformly over the cross sections of each conductor. Derive an expression for the magnitude of the magnetic field (a) at points outside the central, solid conductor but inside the tube (a < r < b) and (b) at points outside the tube 1(r > c).

University Physics with Modern Physics

Hugh D. Young 14th Edition

Chapter 28, Problem 43

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Solved by Expert Sheh Lit Chang

03/22/2021

Step 1

The central conductor and tube carry equal currents $I$ in opposite directions. The currents are distributed uniformly over the cross sections of each conductor. We are asked to find the magnetic field at points outside the central, solid conductor but inside the Show more…

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A solid conductor with radius $a$ is supported by insulating disks on the axis of a conducting tube with inner radius $b$ and outer radius c ($\textbf{Fig. E28.43}$). The central conductor and tube carry equal currents $I$ in opposite directions. The currents are distributed uniformly over the cross sections of each conductor. Derive an expression for the magnitude of the magnetic field (a) at points outside the central, solid conductor but inside the tube (a < r < b) and (b) at points outside the tube 1(r > c).