A) \[\frac{1}{4\pi {{\varepsilon }_{0}}}A{{r}^{3}}\]
B) \[A{{r}^{3}}4\pi {{\varepsilon }_{0}}\]
C) \[\frac{1}{4\pi {{\varepsilon }_{0}}}\frac{A}{{{r}^{3}}}\]
D) \[\frac{4\pi {{\varepsilon }_{0}}A}{{{r}^{3}}}\]
Correct Answer: B
Solution :
[b] \[E=\frac{q}{4\pi {{\varepsilon }_{0}}{{r}^{2}}}\Rightarrow Ar=\frac{q}{4\pi {{\in }_{0}}{{r}^{2}}}\] \[\Rightarrow q=4\pi {{\varepsilon }_{0}}A{{r}^{3}}\]
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