A small dipole is placed at the origin with its dipole moment $$\vec P=p\hat i$$ oriented along the x axis. $$\vec E$$ and $$V$$ are respectively the electric field and potential at point A(x,y). The observations at point A(x,y), which is at a large distance $$r$$ from the origin, show that

A

$$E_x=\frac{1}{4\pi\epsilon_0}\frac{p(2x^2-y^2)}{r^5}$$

B

$$E_x=\frac{1}{4\pi\epsilon_0}\frac{p(x^2-2y^2)}{r^5}$$

C

$$E_y=\frac{1}{4\pi\epsilon_0}\frac{3pxy}{r^5}$$

D

$$V=\frac{1}{4\pi\epsilon_0}\frac{\vec P\cdot\vec r}{r^3}$$