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