# Homework Help: Components of an Electric field due to a dipole

1. Feb 16, 2010

### forensics409

1. The problem statement, all variables and given/known data
The problem is: Show that the components of $$\vec{E}$$ due to a dipole are given at distant points, by Ex=$$\frac{1}{4\pi\epsilon{o}}$$ $$\frac{3pxz}{(x^2+z^2)^{5/2}}$$ and Ez=$$\frac{1}{4\pi\epsilon{o}}$$ $$\frac{p(2z^2-x^2)}{(x^2+z^2)^(5/2)}}$$

http://physweb.bgu.ac.il/COURSES/PHYSICS2_B/2009A/homework/Homework-2_files/image006.jpg [Broken]

2. Relevant equations

E=$$\frac{1}{4\pi\epsilon{o}}$$ $$\frac{Q}{r^2}$$
p=qd

3. The attempt at a solution

I have tried to break the fields of each one into vector components and add the components, however, it got really messy really quickly and after simplifying it a bit i got a ridiculous equation for just the x component, i had no clue where to go and gave up on even try to get the z component.

Ex=$$\frac{q}{4\pi\epsilon{o}}$$ $$\frac{((x^2+(z+[tex]\frac{d}{2}$$)^2)^3/2-((x^2+(z-$$\frac{d}{2}$$)^2)^3/2{((x^2+z^2)^2 +($$\frac{x^2d^2}{2}$$-$$\frac{z^2d^2}{2}$$+$$\frac{d^4}{16})^(3/2)$$}

Last edited by a moderator: May 4, 2017