A) \[2.5\times {{10}^{6}}N{{m}^{2}}{{C}^{-1}}\]
B) \[3.8\times {{10}^{5}}N{{m}^{2}}{{C}^{-1}}\]
C) \[4.2\times {{10}^{5}}N{{m}^{2}}{{C}^{-1}}\]
D) \[2.9\times {{10}^{6}}N{{m}^{2}}{{C}^{-1}}\]
Correct Answer: B
Solution :
(b) \[3.8\times {{10}^{5}}N{{m}^{2}}{{C}^{-1}}\] From figure, it is clear that square ABCD is one of the six faces of a cube of side 12 cm. By Gauss's theorem, total electric flux through all the six faces of the cube\[=\frac{q}{{{\varepsilon }_{0}}}\] \[\therefore \]Electric flux through the square \[\phi =\frac{1}{6}\frac{q}{{{\varepsilon }_{0}}}=\frac{1}{6}\times \frac{20\times {{10}^{-6}}}{8.85\times {{10}^{-12}}}\] \[=3.8\times {{10}^{5}}\,N{{m}^{2}}{{C}^{-1}}\]You need to login to perform this action.
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