in this completed example, why is r equal to sintheta? Also the integration is dtheta, how do we get there? Example: Find the magnetic field due to wire A'ACC' at O, which is the center of a circular arccarrying current i. Given are: i, R and 0.For the arc segment AC:The magnetic field due to segments AA' and CC' is zero becauseds xf =(ds) (sin0) = 0where is in radians!B =Moi4πR²dB =dB =SoBds =Mo i ds x f4π r2-Ho i ds sin904πR²Moi4πR²ᎾSoºFor a circular wire, 0 = 2π, and the magnetic field at the center of the loop is:μοίμοί4πR2R(2π)Rd0 ==Hoi4πRᎾ .RCiC'

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Answered: Example: Find the magnetic field due to…

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Example: Find the magnetic field due to wire A'ACC' at O, which is the center of a circular arc carrying current i. Given are: i, R and 0.