JEE Mains · Physics · STD 12 - 2. Electric potential and capacitance
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 \(\frac{\sigma}{\epsilon_0} \left[ {\frac{a^2-b^2}{b}+c} \right ]\)
- B \(\frac{\sigma}{\epsilon_0} \left[ {\frac{b^2-c^2}{b}+a} \right ]\)
- C \(\frac{\sigma}{\epsilon_0} \left[ {\frac{b^2-c^2}{c}+a} \right ]\)
- D \(\frac{\sigma}{\epsilon_0} \left[ {\frac{a^2-b^2}{a}+c} \right ]\)
Answer & Solution
Correct Answer
(A) \(\frac{\sigma}{\epsilon_0} \left[ {\frac{a^2-b^2}{b}+c} \right ]\)
Step-by-step Solution
Detailed explanation
Potential outside the shell, \(V_{outside}\) \(=\frac{\mathrm{KQ}}{\mathrm{r}}\) where \(\mathrm{r}\) is distance of point from the centre of shel Potential inside the shell, \(V_{\text {inside }}=\frac{K Q}{R}\) where \('R"\) is radius of the shell…
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