Question

A small electric dipole is placed at origin with its dipole moment directed along positive x- axis.The direction of electric field at point (2, 2√2, 0) is

Answer 1

The electric field due to a dipole at any point in space is given by,

E=1/(4πϵ0r3)(3(p.r^)r^−p)

$r = 2i + 2 \sqrt{2} j$

r^ $= \frac{1}{ \sqrt{3} }i + \sqrt{ \frac{2}{3} } j$

E=1/(4πϵ0r3)(3pr^−pi^)

The i component cancels out leaving only the j component.

so the direction of electric field is along y - axis