1 Consider the annulus S in the plane z = 8.3m, defined by a < +y

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1 Consider the annulus S in the plane z = 8.3m, defined by
a? < a' + <®, a = 3.3 m, 6= 4.4 m.
The region surrounding S is filled with a conducting medium, where the current density is given as follows
in spherical coordinates:
J
r sin(0)
a A/m?
Find the net upward current through S.
ANSWER: I = 4pi(4.4^2-3.3^2)
A
Please show all work, and if its correct I will
award a thumbs up, thanks!
Transcribed Image Text:Please show all work, and if its co... 1 Consider the annulus S in the plane z = 8.3m, defined by a? < a' + <®, a = 3.3 m, 6= 4.4 m. The region surrounding S is filled with a conducting medium, where the current density is given as follows in spherical coordinates: J r sin(0) a A/m? Find the net upward current through S. ANSWER: I = 4pi(4.4^2-3.3^2) A Please show all work, and if its correct I will award a thumbs up, thanks!
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