I upploaded a picture of the problem...
The part i'm stuck on asks this:
Point L is located a distance d sqrt2 from the midpoint between the two wires. Find the magnitude of the net magnetic field BL created at point L by both wires.
I had already solved that magnetic field produced by ONLY wire 1 at point L,
and found it to be (μI)/(2pid√3)
I realize that the magnetic field from wire 1 would be pointing up and to the right, whereas the magnetic field from wire 2 would point down and to the right. Therefore, I need to find the x component of the magnetic field and multiply by 2....
this is where I'm not understanding...so i took my previous answer, (μI)/(2pid√3), and figured i needed to multiply by cos theta, theta being the angle between the magnetic field and the x axis, in order to get the x component. This would be (d√2)/(d√3)...which doesn't give me the right answer....
I looked up the answer to this problem, and i see that they multiplied my answer by the SIN of theta, or d/(d√3)...but WHY?!
So i think the answer should be (μI√2)/(3dpi), but the correct answer is (μI)/(3dpi)
if anyone can tell me where my logic is wrong, i would greatly appreciate it cuz now i'm really confused! (and really frustrated LOL)
The Attempt at a Solution
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