Im stuck on theorem 5 where the book used chain rule then used product rule then again using the chain rule. How in the world does it work? I don't get product rule used and chain rule used after.
on the first attempt I was tilting axis about 45 degrees so it sine would cancel.
and "line up with axis" on the comment where I separated into components, I tried solving it like the standard problem given
the attached picture on the comment, however, i tried to solve it by moving the all...
So if you do not line up with axis and solve it as it is, how would I have to attack the question from step 1? where you have dE = Kλds / r2
would i have to separate it into components where dE = [(Kλds / r2)(-cosθ)]i + [(Kλds / r2)(sinθ)]j
then change ds to rdθ and integrate it from 90 to 180?
So i don't know if you guys can ready my terrible handwriting but here is what i worked on and at the last step i don't know why i had to multiply sin45 to get to the correct answer.
Yes, I pictured the arc along the axis so the corresponding cos theta would all line up and sin theta would cancel b/c i didnt know how to incorporate cos45 and sin45 into components and calcuate it separately.
Homework Statement
http://www.webassign.net/hrw/W0490-N.jpg
The figure above shows three circular arcs centered on the origin of a coordinate system. On each arc, the uniformly distributed charge is given in terms of Q= 2*10-6C. The radii are given in terms of R = 10cm. What is the magnitude...