A numerical example may help to illustrate the geometry involved in Stokes’ theorem. Consider the portion of a sphere shown in Figure 7.17. The surface is specified by r = 4, 0 < 0 < 0.17,0 < ¢ < 0.37, and the closed path forming its perimeter is com- posed of three circular arcs. We are given the field H = 6r sin øa, +18r sin 0 cos pa, and are asked to evaluate each side of Stokes' theorem.

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A numerical example may help to illustrate the geometry involved in Stokes' theorem.
Consider the portion of a sphere shown in Figure 7.17. The surface is specified by r =
4, 0 < 0 < 0.17 , 0 < ¢ < 0.37, and the closed path forming its perimeter is com-
posed of three circular arcs. We are given the field H = 6r sin øa, + 18r sin 0 cos pas
and are asked to evaluate each side of Stokes' theorem.
Transcribed Image Text:A numerical example may help to illustrate the geometry involved in Stokes' theorem. Consider the portion of a sphere shown in Figure 7.17. The surface is specified by r = 4, 0 < 0 < 0.17 , 0 < ¢ < 0.37, and the closed path forming its perimeter is com- posed of three circular arcs. We are given the field H = 6r sin øa, + 18r sin 0 cos pas and are asked to evaluate each side of Stokes' theorem.
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