(adsbygoogle = window.adsbygoogle || []).push({});

I had to find the magnetic field due to each side at point P, a distance h above x-axis and L/2 from z-axis.

In previous parts, summing up all the sides, I came up with a net magnetic field at point P, of:

[tex]B_{net}=\frac{\mu_0I}{4\pi}\left[\left(\frac{L}{h\sqrt{h^2+\frac{L^2}{4}}}+\frac{L^2}{(h^2+L^2)\sqrt{h^2+\frac{5L^2}{4}}}\right)\hat{y}+\left(\frac{2Lh}{(h^2+\frac{L^2}{4})\sqrt{h^2+\frac{5L^2}{4}}}+\frac{Lh}{(h^2+L^2)\sqrt{h^2+\frac{5L^2}{4}}}\right)\hat{z}\right][/tex]

The final part of the problem asks to find the magnetic field at a far away point P(L/2,y_{0},z_{0}) where y_{0}and z_{0}are much larger than L.

How do I tackle this? I know I am not going to have to redo the entire calculation for a different point. Is it safe to just take the limit,

[tex]

\lim_{h\rightarrow \infty} B_{net}

[/tex]

The way I look at it, my equation is for the point P(L/2,0,h). For the far away point, my x isn't changing, but y and z are. So by taking this limit, I get my z very far, but how to do it for a far y as well?

Am I thinking this over right?

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Mag. field of square loop at far away point

**Physics Forums | Science Articles, Homework Help, Discussion**