Physics > electrostatics-and-current-electricity > Electric Charges And Fields

(b) (i) Obtain an expression for the electric field due to a dipole of dipole moment $\vec{p}$ at a point on its equatorial plane and specify its direction. Hence, find the value of electric field: (I) at the centre of the dipole $(r=0)$, and (II) at a point $r >> a$, where $2a$ is the length of the dipole. (ii) An electric field $\vec{E} = (10x + 5)\hat{i}\text{ N/C}$ exists in a region in which a cube of side $L$ is kept as shown in the figure. Here $x$ and $L$ are in metres. Calculate the net flux through the cube.