Q.
Three infinitely charged sheets are kept parallel to $x - y\ $plane having charge densities as shown in figure. Then the value of electric field at point P is
A) $- \frac{2\sigma}{\varepsilon_{0}}\widehat{k}$
B) $\frac{2\sigma}{\varepsilon_{0}}\widehat{k}$
C) $- \frac{4\sigma}{\varepsilon_{0}}\widehat{k}$
D) $\frac{4\sigma}{\varepsilon_{0}}\widehat{k}$
Explanation
(a) It is know that the electric field due to an infinite plane sheet of charge is independent of distance of point the sheet. Applying the principle of superposition.
${\overrightarrow{E}}_{p} = \frac{\sigma}{2\varepsilon_{0}}\left( - \widehat{k} \right) + \frac{2\sigma}{2\varepsilon_{0}}\left( - \widehat{k} \right) + \frac{\sigma}{2\varepsilon_{0}}\left( - \widehat{k} \right)$
${\overrightarrow{E}}_{p} = \frac{2\sigma}{\varepsilon_{0}}\widehat{k}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.