A long, straight conducting wire with radius R is carrying cur-rent. The current density is non-uniform and increases withdistance from the central axis according to J (r) = JoVR:where J, is a constant. Derive an expression for the magnitudeof the magnetic field B(r) for all points outside the wire (r > R).Hint: finding the total current in a cross section of the wire willrequire an integral.

Ampere's circuital law states that the line integral of magnetic field induction B→ around any…

A long, straight conducting wire with radius R is carrying cur- rent. The current density is non-uniform and increases with distance from the central axis according to J(r) = JoVR where Jo is a constant. Derive an expression for the magnitude of the magnetic field B(r) for all points outside the wire (r > R). Hint: finding the total current in a cross section of the wire will require an integral.

A long, straight conducting wire with radius R is carrying cur- rent. The current density is non-uniform and increases with distance from the central axis according to J(r) = JoVR where Jo is a constant. Derive an expression for the magnitude of the magnetic field B(r) for all points outside the wire (r > R). Hint: finding the total current in a cross section of the wire will require an integral.

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter12: Sources Of Magnetic Fields

Section: Chapter Questions

Problem 81AP: A long, straight, cylindrical conductor contains a cylindrical cavity whose axis is displaced by n...

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