Question

Calculate the magnetic flux density for the current distribution in free space to be A = (3x^2y + yz)ax + (xy^2 - xz^3)ay - (7xyz - 3x^2y^2)az Wb/m. (a) ax(-7xz + 6x^2y + 3xz^2) + az(-3x^2 - z) (b) ax(-7xz + 6x^2y + 3xz^2) - ay(-7yz + 6xy^2 - y) + az(y^3 - z^3 - 3x^2 - z) (c) ay(-7yz + -y) + az(y^3 - z^3 - 3x^2 - z) (d) az(y^3 - z^3 - 3x^2 - z)

          Calculate the magnetic flux density for the current distribution in free space to be A = (3x^2y + yz)ax + (xy^2 - xz^3)ay - (7xyz - 3x^2y^2)az Wb/m.

(a) ax(-7xz + 6x^2y + 3xz^2) + az(-3x^2 - z)
(b) ax(-7xz + 6x^2y + 3xz^2) - ay(-7yz + 6xy^2 - y) + az(y^3 - z^3 - 3x^2 - z)
(c) ay(-7yz + -y) + az(y^3 - z^3 - 3x^2 - z)
(d) az(y^3 - z^3 - 3x^2 - z)

Calculate the magnetic flux density for the current distribution in free space to be A = (3x^2y + yz)ax + (xy^2 - xz^3)ay - (7xyz - 3x^2y^2)az Wb/m.

(a) ax(-7xz + 6x^2y + 3xz^2) + az(-3x^2 - z)
(b) ax(-7xz + 6x^2y + 3xz^2) - ay(-7yz + 6xy^2 - y) + az(y^3 - z^3 - 3x^2 - z)
(c) ay(-7yz + -y) + az(y^3 - z^3 - 3x^2 - z)
(d) az(y^3 - z^3 - 3x^2 - z)

Added by William T.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Hemraj Kumawat

04/27/2022

Step 1

The given current distribution is A = (3xy + y)a + (xy x" Jay (Txyz - 3ry Jaz Wblm ~Zxz + 61y + 3r - ) + a (-3r?_=) a, (-Jx + 6ry + 3x") - a, (-Jy + 61 _y)ta(y-?-31-:) a, (-Tyt-y)tal(y_-3x_:) ~-3x?_. To find the current density vector J, we need to take the curl Show more…

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Calculate the magnetic flux density for the current distribution in free space to be A = (3x^2y + yz)ax + (xy^2 - xz^3)ay - (7xyz - 3x^2y^2)az Wb/m. (a) ax(-7xz + 6x^2y + 3xz^2) + az(-3x^2 - z) (b) ax(-7xz + 6x^2y + 3xz^2) - ay(-7yz + 6xy^2 - y) + az(y^3 - z^3 - 3x^2 - z) (c) ay(-7yz + -y) + az(y^3 - z^3 - 3x^2 - z) (d) az(y^3 - z^3 - 3x^2 - z)