Question: The surface S' is a hemispherical surface of radius A created by the circular loop C. The hemisphere S' lies entirely in the volume of
The surface S' is a hemispherical surface of radius A created by the circular loop C. The hemisphere S' lies entirely in the volume of negative z.
(a) Write down the vector in Cartesian coordinate of a tiny portion of surface on S'which has an area da near the location (-A, 0, 0)?
(b) Calculate the surface integral over this open surface
is a spherical coordinate function of
. In this question, please use the convention of ? to be the polar angle (from 0 to ?), while ? to be the azimuthal angle (from ? to 2?).
S' -ds if (r,0,0) = / (/r-rcos 00)
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