Question

An imaginary cube lies in a region of space in which an electric field $\overrightarrow{E}=E_0(x\hat{i}+y\hat{j}$ exists. One of the vertices of the cube coincides with the origin of the coordinate system. Find the flux through the surface and the charge enclosed by the surface.

• A. $E_0{a}^3;{\epsilon }_0{E}_0{a}^3$
• B. $2E_0{a}^3;2{\epsilon }_0{E}_0{a}^3$
• C. $\frac{E_0{a}^3}{2};\frac{{\epsilon }_0{E}_0{a}^3}{2}$
• D. $\frac{E_0{a}^3}{4};\frac{{\epsilon }_0{E}_0{a}^3}{4}$

Answer 1

The correct option is B $2E_0{a}^3;2{\epsilon }_0{E}_0{a}^3$