Field due to an electric dipole (Halliday & Resnick, Ch. 27 problem 23)

[Ben2]

Homework Statement

"Show that the components of ##\mathbf{E}## are given, at distant points, by [expressions below], where x and y are [coordinates of a point in the first quadrant...]." Here the dipole has charge q at (0,a) and charge -q are (0,-a).

Relevant Equations

$$E_x=\frac{1}{4\pi\epsilon_0}\frac{3pxy}{\left(x^2+y^2\right)^{(5/2)}}$$
$$E_y=\frac{1}{4\pi\epsilon_0}\frac{p\left(2y^2-x^2\right) }
{\left(x^2+y^2\right)^{(5/2)}}$$

Using either H&R's Chapter 27 Example 3 or Problem 590 of the ##\mathbf{Physics Problem Solver}##, I've been unable to get the component ##E_x## or ##E_y##. There are now different angles at the charges. My thanks to berkeman for LaTeX advice, but any errors are of course my own. Thanks in advance to all contributors!

 

[kuruman]

I see no errors mainly because I see no work. Please edit your post to fix the LaTeX.
Hint: Click the "Preview" button, last one on the right to see what your LaTeX will look like before committing yourself to posting.

 

[WWGD]

@Ben2 : Please wrap your last '5/2' term with {}.

 

[kuruman]

Also, in a "Show that" type of question, in addition to what you are asked to "show" you must include the starting expression.