A) \[3\times {{10}^{-4}}\,\,C\]
B) \[3\times {{10}^{-3}}\,\,C\]
C) \[3\times {{10}^{-2}}\,\,C\]
D) \[3\times {{10}^{-1}}\,\,C\]
Correct Answer: B
Solution :
Using the relation for electric intensity \[F=\left( \frac{1}{4\pi {{\varepsilon }_{0}}} \right)\frac{q}{{{R}^{2}}}\] ? (1) If\[q={{q}_{\max }}\]and\[F={{F}_{\max }}\] As \[{{E}_{\max }}=\]dielectric strength of air \[=3\times {{10}^{6}}\,\,V/m\]and\[R=3\,\,m\] So, from equation (1) \[3\times {{10}^{6}}=9\times {{10}^{9}}\times \frac{{{q}_{\max }}}{{{(3)}^{2}}}\] So,\[{{q}_{\max }}=3\times {{10}^{-3}}\,\,coulomb.\]You need to login to perform this action.
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