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

Show that a line of charge density [tex]\lambda[/tex] exerts an attractive force on an electric dipole with magnitude F = [tex]\frac{2\lambda p}{4\pi\epsilon_{0}r^{2}}[/tex]. Assume that r is much larger than the charge separation in the dipole.

2. Relevant equations

I need to show that the magnitude, F = [tex]\frac{2\lambda p}{4\pi\epsilon_{0}r^{2}}[/tex]

p = qs => assume s is very small at end of calculations

F=F_{on -q}+F_{on +q}= 0

F_{on -q}= -qE

F_{on +q}= +qE

3. The attempt at a solution

I am not sure if I am doing this correct?

F=F_{on -q}+F_{on +q}

F= -qE+ +qE

= [tex]\frac{pE}{s} + \frac{pE}{s}[/tex]

= [tex]\frac{p}{s}\frac{1}{4\pi\epsilon_{0}}\frac{2\lambda}{r} + \frac{p}{s}\frac{1}{4\pi\epsilon_{0}}\frac{2\lambda}{r}[/tex]

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# Homework Help: Force on electric dipole

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