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OCW Scholar - Physics II: Electricity and Magnetism 29 Online
OpenStudy (kmazraee):

who know what is this transformation between cos(theta) and y and x? the relation between cos(theta) and x and y? please see this transformation at this URL: http://uplod.ir/v2b9wab6a0x2/01.JPG.htm

OpenStudy (anonymous):

this integration involves two variables (x' and r),this apostrophe means x dash ,so we will substitute each of them with theta and the constant distance y , cos(theta') = y / r ,by squaring, r^2 = y^2 * (sec(theta'))^2 tan(theta') = x' / y ,by differentiating both sides with respect to x', (sec(theta'))^2 d(theta') = (dx')/y , therefore dx' = y * (sec(theta'))^2 * d(theta')

OpenStudy (anonymous):

forgot to mention that theta' is angle between y and r' :)

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