11.Electrostatics (Electric field due to uniformly charged rod)
A uniformly charged rod of length LL and total charge QQ lies along the xx axis as shown in in the figure. (Use the following as necessary: QQ, LL, dd, and keke.) Find the components of the electric field at the point PP on the yy axis a distance dd from the origin. Ex=?Ex=?, Ey=?Ey=? I think I am getting close to a solution (maybe) but I keep getting turned around and confused. This is what I have so far. So, I know that I need λ=Q/Lλ=Q/L and r=d2+L2−−−−−−√r=d2+L2. My first thought was that the formula I need is E=∫L0λkex2dxE=∫0Lλkex2dx but then it becomes a problem when I integrate and have to evaluate −λkex−λkex at x=0x=0. So then I tried
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