Three concentric charged metallic spherical shells A, B and C have radii a, b and c; change densities $$\sigma ,-\sigma $$ and $$\sigma $$ and potentials $${{V}_{A}},{{V}_{B}}$$ and $${{V}_{C}}$$ respectively. Then which of the following relations is correct?

Question

TuteeHUB · Accepted Answer

$${{V}_{C}}=\left( \frac{{{a}^{2}}+{{b}^{2}}}{b}+c \right)\frac{\sigma }{{{\varepsilon }_{0}}}$$

TuteeHUB · Answer

$${{V}_{A}}=\left( a+b+c \right)\frac{\sigma }{{{\varepsilon }_{0}}}$$

TuteeHUB · Answer

$${{V}_{B}}=\left( \frac{{{a}^{2}}}{b}-b+c \right)\frac{\sigma }{{{\varepsilon }_{0}}}$$

TuteeHUB · Answer

$${{V}_{A}}={{V}_{B}}={{V}_{C}}=\left( a+b+c \right)\frac{\sigma }{{{\varepsilon }_{0}}}$$

1.	Three concentric charged metallic spherical shells A, B and C have radii a, b and c; change densities \[\sigma ,-\sigma \] and \[\sigma \] and potentials \[{{V}_{A}},{{V}_{B}}\] and \[{{V}_{C}}\] respectively. Then which of the following relations is correct?
A.	\[{{V}_{A}}=\left( a+b+c \right)\frac{\sigma }{{{\varepsilon }_{0}}}\]
B.	\[{{V}_{B}}=\left( \frac{{{a}^{2}}}{b}-b+c \right)\frac{\sigma }{{{\varepsilon }_{0}}}\]
C.	\[{{V}_{C}}=\left( \frac{{{a}^{2}}+{{b}^{2}}}{b}+c \right)\frac{\sigma }{{{\varepsilon }_{0}}}\]
D.	\[{{V}_{A}}={{V}_{B}}={{V}_{C}}=\left( a+b+c \right)\frac{\sigma }{{{\varepsilon }_{0}}}\]
Answer» C. \[{{V}_{C}}=\left( \frac{{{a}^{2}}+{{b}^{2}}}{b}+c \right)\frac{\sigma }{{{\varepsilon }_{0}}}\]

Three concentric charged metallic spherical shells A, B and C have radii a, b and c; change densities \[\sigma ,-\sigma \] and \[\sigma \] and potentials \[{{V}_{A}},{{V}_{B}}\] and \[{{V}_{C}}\] respectively. Then which of the following relations is correct?

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