5.28 A uniform current density given by (A/m?) gives rise to a vector magnetic potential A= -i 4od (x² + y²) (Wb/m). (a) Apply the vector Poisson's equation to confirm the above statement. (b) Use the expression for A to find H. (c) Use the expression for J in conjunction with Ampère's law to find H. Compare your result with that obtained in part (b).

5.28 A uniform current density given by (A/m?) gives rise to a vector magnetic potential A= -i 4od (x² + y²) (Wb/m). (a) Apply the vector Poisson's equation to confirm the above statement. (b) Use the expression for A to find H. (c) Use the expression for J in conjunction with Ampère's law to find H. Compare your result with that obtained in part (b).

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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Concept explainers

Electric field

A physical field present around an electrically charged particle that exerts a force on all other charged particles is called an electric field. The charged particles present in the field either repel or attract. From electric charges or time-varying magnetic fields, the electric field originates. One of the manifestations of electromagnetic force which is one of the four fundamental forces present in nature are the electric fields and magnetic fields.

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5.28 A uniform current density given by
J = îJo
(A/m?)
gives rise to a vector magnetic potential
A = -i
4
4oo (x² + y²) (Wb/m).
(a) Apply the vector Poisson's equation to confirm the above
statement.
(b) Use the expression for A to find H.
(c) Use the expression for J in conjunction with Ampère's
law to find H. Compare your result with that obtained in
part (b).

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