MATH 14 Lecture Notes - Lecture 17: Electric Flux, Joule
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21 Mar 2019
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Math 14 class lecture 17: flux over. 1-d flux over a circular path: sd, alternative perspective a . A d d d = d d = r. Find the outward flux of the vector field semicircle y = 25 x2. 2-d flux over cylindrical surfaces: ad drd dz, d = r. More like a box as everything shrinks, so a. A d = r d dz d = d. 4 out of 8: outer normal n . Same as polar! n = c in j os i. Since this becomes more and more like a box, = p2 psin cos i + psin sin j + pcos k p. Outer normal n xi + yj + zk. 2 p = x2 + y2 + z2 in sin j in cos i. + c os k e. g. find the solar flux over the hemisphere (in meters) z = r2 x2 y2 where if the overhead sun has i c > 0.