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So, a while ago I learned that a spherical isolated conductor can act as a capacitor now my question is how? I mean, a capacitor usually requires two plates to hold charge but in this case there's just one charged conductor. So how is it really storing energy?

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The second sphere is assumed to be at infinity,a sphere of infinite radii So basically it's just your normal capacitor

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    $\begingroup$ Why is this a special property of a sphere? Why can’t an isolated plate or cylinder have a capacitance associated with it? $\endgroup$
    – Roy
    Commented Feb 28 at 21:28
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    $\begingroup$ @Roy: Different shapes work too. Spheres are just easier to do the math for. $\endgroup$ Commented Feb 28 at 22:40

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