A) \[\frac{{{\sigma }_{1}}}{2{{\varepsilon }_{0}}}\]
B) \[\frac{{{\sigma }_{2}}}{2{{\varepsilon }_{0}}}\]
C) \[\frac{{{\sigma }_{1}}+{{\sigma }_{2}}}{2{{\varepsilon }_{0}}}\]
D) \[\frac{{{\sigma }_{1}}-{{\sigma }_{2}}}{2{{\varepsilon }_{0}}}\]
Correct Answer: C
Solution :
Resultant electric field in the region marked I is \[E={{E}_{1}}+{{E}_{2}}\] \[=\frac{{{\sigma }_{1}}}{2{{\varepsilon }_{0}}}+\frac{{{\sigma }_{2}}}{2{{\varepsilon }_{0}}}\] \[E=\frac{{{\sigma }_{1}}+{{\sigma }_{2}}}{2{{\varepsilon }_{0}}}N/C\]
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