question_answer

Two uniformly charged large plane sheets \[{{S}_{1}}\]and \[{{S}_{2}}\]having charge densities \[{{\sigma }_{1}}\] and \[{{\sigma }_{2}}({{\sigma }_{1}}>{{\sigma }_{2}})\]are placed at a distance d parallel to each other. A charge \[{{q}_{0}}\]is moved along a line of length a\[(a<d)\]at an angle \[45{}^\circ \]with the normal to\[{{S}_{1}}\]. Calculate the work done by the electric field, in joule\[({{q}_{0}}=2C,\,\,{{\sigma }_{1}}={{3}_{\varepsilon 0}}C/{{m}^{2}},\,\,{{\sigma }_{2}}={{\varepsilon }_{0}}C/{{m}^{2}},a=\sqrt{2}metre).\]

Answer:

2.00