A) \[4\,\,\times \,\,1{{0}^{3}}\,\,C\]
B) \[-\,4\,\,\times \,\,1{{0}^{3}}\,\,C\]
C) \[-(\,4\,\,\times \,\,1{{0}^{3}})\,{{\varepsilon }_{0}}C\]
D) \[-\,\frac{4\,\,\times \,\,1{{0}^{3}}}{{{\varepsilon}_{0}}}\,C\];
Correct Answer: C
Solution :
\[\Delta \phi \,\,=\,\,(4\times {{10}^{3}})-(8\times {{10}^{3}})\] \[=-\,4\,\,\times \,\,1{{0}^{3}}\,N-{{m}^{2}}/C\] According to Gauss?s law Net flux through a closed surface \[\Delta \phi =\frac{{{q}_{in}}}{{{\varepsilon }_{0}}}\] \[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,{{q}_{in}}=(-\,4\times {{10}^{3}}){{\varepsilon }_{0}}\,C\]
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