The two thin coaxial rings, each of radius $'a'$ and having charges $+{Q}$ and $-{Q}$ respectively are separated by a distance of $'s'.$ The potential difference between the centres of the two rings is :
JEE MAIN 2021, Diffcult
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${V}_{{A}}=\frac{{KQ}}{{a}}-\frac{{KQ}}{\sqrt{{a}^{2}+{s}^{2}}}$
${V}_{{B}}=\frac{-{KQ}}{{a}}+\frac{{KQ}}{\sqrt{{a}^{2}+{s}^{2}}}$
${V}_{{A}}-{V}_{{B}}=\frac{2 {KQ}}{{a}}-\frac{2 {KQ}}{\sqrt{{a}^{2}+{s}^{2}}}$
$=\frac{{Q}}{2 \pi \varepsilon_{0}}\left(\frac{1}{{a}}-\frac{1}{{s}^{2}+{a}^{2}}\right)$
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