A wire of nonmagnetic material, with radius R, carries

Chapter 32, Problem 77

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QUESTION:

A wire of nonmagnetic material, with radius R, carries current uniformly distributed over its cross section. The total current carried by the wire is I. Show that the magnetic energy per unit length inside the wire is .

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QUESTION:

A wire of nonmagnetic material, with radius R, carries current uniformly distributed over its cross section. The total current carried by the wire is I. Show that the magnetic energy per unit length inside the wire is .

ANSWER:

Step 1 of 2

The current density can be given as,

                                                                 

Applying the Ampere’s law, the magnetic field at a particular distance of  can be given as,

                                                 

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