Consider the vector ficld Co sin A(r,8, 6) – r2 which (although irrelevant to solving this problem) corresponds to the magnetic vec- tor potential outside of a spherical solid object of uniform charge...


Consider the vector ficld<br>Co sin<br>A(r,8, 6) –<br>r2<br>which (although irrelevant to solving this problem) corresponds to the magnetic vec-<br>tor potential outside of a spherical solid object of uniform charge density spinning at<br>a constant angular velocity and centered at the origin. Calculate the flux of the curl<br>of A upwards through a flat disk of radius so and height zo above the origin (sce the<br>figure below).<br>(a) by computing the surface integral of V x A through the disk dircctly.<br>(b) by using Stokcs' theorem to convert the surface integral into a line integral around the<br>disk boundary, and then solving for that instead.<br>N°<br>

Extracted text: Consider the vector ficld Co sin A(r,8, 6) – r2 which (although irrelevant to solving this problem) corresponds to the magnetic vec- tor potential outside of a spherical solid object of uniform charge density spinning at a constant angular velocity and centered at the origin. Calculate the flux of the curl of A upwards through a flat disk of radius so and height zo above the origin (sce the figure below). (a) by computing the surface integral of V x A through the disk dircctly. (b) by using Stokcs' theorem to convert the surface integral into a line integral around the disk boundary, and then solving for that instead. N°

Jun 10, 2022
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