question_answer

In figure +Q charge is located at one of the edge of the cube, then electric flux through cube due to + Q charge is

A) \[\frac{+Q}{{{\varepsilon }_{0}}}\]

B) \[\frac{+Q}{2{{\varepsilon }_{0}}}\]

C) \[\frac{+Q}{4{{\varepsilon }_{0}}}\]

D) \[\frac{+Q}{8{{\varepsilon }_{0}}}\]

Correct Answer: C

Solution :

                If the charge is kept at one of the edge of the cube, for enclosing the charge three more cubes are required so, total flux from the 4 cube system is \[{{\phi }_{T}}=\frac{Q}{4\,{{\varepsilon }_{0}}}\]. Flux from given cube \[{{\phi }_{cube}}=\frac{Q}{4\,{{\varepsilon }_{0}}}\].