A) \[\frac{2\sigma }{{{\varepsilon }_{o}}}\]\[\hat{k}\]
B) \[-\frac{2\sigma }{{{\varepsilon }_{o}}}\]\[\hat{k}\]
C) \[\frac{4\sigma }{{{\varepsilon }_{o}}}\]\[\hat{k}\]
D) \[-\frac{4\sigma }{{{\varepsilon }_{o}}}\]\[\hat{k}\]
Correct Answer: B
Solution :
\[\vec{E}=-\frac{\sigma }{2{{\varepsilon }_{o}}}\hat{k}-\frac{2\sigma }{2{{\varepsilon }_{o}}}\hat{k}-\frac{\sigma }{2{{\varepsilon }_{o}}}\hat{k}=-\frac{2\sigma }{{{\varepsilon }_{o}}}\hat{k}\]
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