Three concentric metal shells $A, B$ and $C$ of respective radii $a, b$ and $c (a < b < c)$ have surface charge densities $+\sigma,-\sigma$ and $+\sigma$ respectively. The potential of shell $B$ is
  • A$\frac{\sigma}{\in_0} \left[ {\frac{a^2-b^2}{b}+c} \right ]$
  • B$\frac{\sigma}{\in_0} \left[ {\frac{b^2-c^2}{b}+a} \right ]$
  • C$\frac{\sigma}{\in_0} \left[ {\frac{b^2-c^2}{c}+a} \right ]$
  • D$\frac{\sigma}{\in_0} \left[ {\frac{a^2-b^2}{a}+c} \right ]$
JEE MAIN 2018, Diffcult
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