A) \[4\pi {{\varepsilon }_{0}}A{{a}^{2}}\]
B) \[A{{\varepsilon }_{0}}{{a}^{2}}\]
C) \[A\pi {{\varepsilon }_{0}}A{{a}^{3}}\]
D) \[{{\varepsilon }_{0}}A{{a}^{3}}\]
Correct Answer: A
Solution :
[a] Given, |
Here, \[r=a\] |
\[E=\frac{1}{4\pi {{\varepsilon }_{0}}}.\frac{q}{{{a}^{2}}}\] |
From Eq. (i), |
\[\frac{1}{4\pi {{\varepsilon }_{0}}}.\frac{q}{{{a}^{2}}}=Aa\] |
\[\Rightarrow \] \[q=4\pi {{\varepsilon }_{0}}A{{a}^{3}}\] |
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