(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Show that

[tex] E = \frac {q}{4\pi\varepsilon(z-\frac{1}{2}d)^2} - \frac{q}{4\pi\varepsilon(z+\frac{1}{2}d)^2}

[/tex]

is

[tex]E = \frac {q}{4\pi\varepsilon z^2} [(1-\frac{d}{2z})^{-2} - (1+\frac{d}{2z})^{-2}][/tex]

2. Relevant equations

3. The attempt at a solution

After getting a common denominator and subtracting I got

[tex] \frac {2qdz}{4\pi\varepsilon(z^4-\frac{1}{2}d^2z^2+\frac{1}{16}d^4)}[/tex]

Stuck completely at this point. I've tried working backwards but that is even more confusing. Any help would be appreciated. Thanks.

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# Homework Help: Electric Dipole derivation (Algebra)

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