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Solution
ОглавлениеWe need to find
Since the geometry is circular, it is easier to work with a cylindrical coordinate system, hence we transform vector to cylindrical coordinates as
Figure 1.13 Path for line integral Example 1.1.
In a cylindrical coordinate system, the differential length along the path is defined as
where r = 2 along the path. So
Figure 1.14 Illustration of surface integral.