MHT CET · Physics · Electrostatics
Three concentric charged metallic spherical sheets A, B and C have radii \(\mathrm{a}, \mathrm{b}, \mathrm{c}\) potentials \(\mathrm{V}_{\mathrm{A}}, \mathrm{V}_{\mathrm{B}}, \mathrm{V}_{\mathrm{C}}\) and charge densities \(+\sigma,-\sigma\) and \(+\sigma\) respectively. The value of potential \(V_A\) is ( \(\epsilon_0=\) permittivity of free space)
- A \(\frac{\sigma}{\epsilon_0}(a+b+c)\)
- B \(\frac{\sigma}{\epsilon_0}(-a+b-c)\)
- C \(\frac{\sigma}{\epsilon_0}(a-b+c)\)
- D \(\frac{\sigma}{3 \epsilon_0}(a+b+c)\)
Answer & Solution
Correct Answer
(C) \(\frac{\sigma}{\epsilon_0}(a-b+c)\)
Step-by-step Solution
Detailed explanation
\(V_A = \frac{4\pi a^2 (\sigma)}{4\pi\epsilon_0 a} + \frac{4\pi b^2 (-\sigma)}{4\pi\epsilon_0 b} + \frac{4\pi c^2 (+\sigma)}{4\pi\epsilon_0 c}\) \(V_A = \frac{\sigma a}{\epsilon_0} - \frac{\sigma b}{\epsilon_0} + \frac{\sigma c}{\epsilon_0}\)
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