5.28 A uniform current density given by J = îJ, (A/m?) gives rise to a vector magnetic potential A =-2 4oJo 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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5.28 A uniform current density given by
J = îJ,
(A/m?)
gives rise to a vector magnetic potential
A = -î 40d
2(x² + y²) (Wb/m).
4
(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).
Transcribed Image Text:5.28 A uniform current density given by J = îJ, (A/m?) gives rise to a vector magnetic potential A = -î 40d 2(x² + y²) (Wb/m). 4 (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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