A) \[{{\rho }_{0}}=40{{\varepsilon }_{0}}\]in the entire region
B) \[{{\rho }_{0}}=20{{\varepsilon }_{0}}\] in the entire region
C) \[{{\rho }_{0}}=20{{\varepsilon }_{0}}\] for \[|z|\]in\[\le 1m\]and \[{{\rho }_{0}}=0\]else where
D) \[{{\rho }_{0}}=10{{\varepsilon }_{0}}\]for \[|z|\]in \[\le 1m\]and\[{{\rho }_{0}}=0\] else where
Correct Answer: D
Solution :
\[|E=\left\{ \begin{matrix} 10zv/m & |z|\le 1m \\ 10v/m & |z|\ge 1m \\ \end{matrix} \right.\] If should be for a sheet lying in x.y plane of thickness z = 2m. For \[|z|\ge 1mE=\frac{\sigma }{2{{\in }_{0}}}=\frac{\rho (2)}{2{{\in }_{0}}}=\frac{\rho }{{{\in }_{0}}}=10\Rightarrow P=10{{\in }_{0}}\] z = .1 z=0 z = +1You need to login to perform this action.
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