A charge \( \mathrm{Q} \) is distributed over three concentric sphe...
A charge \( \mathrm{Q} \) is distributed over three concentric spherical shell of radii a, b, c \( (\mathrm{a}\mathrm{b}\mathrm{c}) \) such that their surface
\( \mathrm{P} \) charge densities are equal to one another.
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The total potential at a point at distance \( \mathrm{r} \) from their common centre, where \( \mathrm{r}\mathrm{a} \), would be:
[JEE Main-2019 (January)]
(a) \( \frac{\mathrm{Q}}{12 \pi \epsilon_{0}} \frac{\mathrm{ab}+\mathrm{bc}+\mathrm{ca}}{\mathrm{abc}} \)
(b) \( \frac{\mathrm{Q}\left(\mathrm{a}^{2}+\mathrm{b}^{2}+\mathrm{c}^{2}\right)}{4 \pi \in_{0}\left(\mathrm{a}^{3}+\mathrm{b}^{3}+\mathrm{c}^{3}\right)} \)
(c) \( \frac{\mathrm{Q}}{4 \pi \epsilon_{0}(a+b+c)} \)
(d) \( \frac{\mathrm{Q}(\mathrm{a}+\mathrm{b}+\mathrm{c})}{4 \pi \epsilon_{0}\left(\mathrm{a}^{2}+\mathrm{b}^{2}+\mathrm{c}^{2}\right)} \)
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