Auxiallry Field in a Coaxial Cable

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Homework Help Overview

The problem involves analyzing the magnetic field in a coaxial cable consisting of two cylindrical conductors with a current flowing through them. The task includes finding the magnetic field in the region between the tubes and calculating the magnetization and bound currents.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning, Problem interpretation, Assumption checking

Approaches and Questions Raised

  • Participants discuss the application of Ampere's Law and the evaluation of integrals around circular loops to find the magnetic field. There are questions about the correct setup of the integral and the interpretation of variables involved.

Discussion Status

Some participants have provided guidance on evaluating integrals and clarifying the roles of different variables. There is an ongoing exploration of the relationships between the magnetic field, current, and the geometry of the problem, with no explicit consensus reached yet.

Contextual Notes

Participants are navigating through the implications of cylindrical symmetry and the direction of the magnetic field and current. There is a focus on ensuring clarity in the definitions and relationships of the quantities involved, particularly in the context of the coaxial cable setup.

  • #91
Usually [itex]r=\sqrt{x^2+y^2+z^2}[/itex] which is the distance from the origin to the field point...In this case you want the distance from the z-axis which is usually given as the cylindrical coordinate [itex]s=\sqrt{x^2+y^2}[/itex]...You can call that [itex]r[/itex] if you like, but you need to make sure you state that it is the distance from the axis, not the distance from the origin.
 

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