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

Show that the magnitude of the net force exerted on one dipole by the other dipole is given approximately by:$$F_{net}≈\frac {6q^2s^2k} {r^4}$$

for ##r\gg s##, where r is the distancefrom one dipole to the other dipole, s is the distanceacross one dipole. (Both dipoles are of equal length and both have charges of magnitude q).

2. Relevant equations

##F=\frac {kq_1q_2} {r^2}##

##f(x)=\sum_{n=0}^\infty \frac {f^{(n)}(0)} {n!} x^n##

3. The attempt at a solution

I worked out the net force that a dipole would be acting on another as: $$F_{net}=kq^2(\frac {1} {(r-s)^2}+\frac {1} {(r+s)^2}-\frac {2} {r^2})$$ This equation is right because I plugged in values for r and s given r is much greater than s, and got the same value for if I used the approximated equation at the top.

I just lack the knowledge of using a taylor series to approximate my equation into the desired one.

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# Approximating the force on a dipole Taylor series

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