Find the net force that the southern hemisphere of a uniformly charged sphere exerts on the northern hemisphere. Express your answer in terms of the radius R and the total charge Q(adsbygoogle = window.adsbygoogle || []).push({});

[the "model" answer is [tex]\frac{1}{4 \pi \epsilon_0} \frac{3 Q^2}{16 R^2}[/tex]]

my attempt:

regard two hemispheres as two point charges located at their center of mass, [tex]\frac{3 R}{8}[/tex] from the center.

so

[tex]

F = \frac{1}

{{4\pi \varepsilon _0 }}\frac{{\left( {Q/2} \right)^2 }}

{{\left( {2 \times \frac{3}

{8}R} \right)^2 }} = \frac{1}

{{4\pi \varepsilon _0 }}\frac{4}

{9}\frac{{Q^2 }}

{{R^2 }}

[/tex]

but I got it wrong....

so, can anyone tell me how should I start?

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# Net force exerted between hemispheres of uniformly charged sphere

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