Question

Two dipoles each of dipole moment p are placed 2r distance apart. What is the electric field intensity at the midpoint of line joining the dipoles? please derive.

Answer 1

Answer on Question #55815, Physics / Electromagnetism

Task:

Two dipoles each of dipole moment $p$ are placed 2r distance apart. What is the electric field intensity at the midpoint of line joining the dipoles?

Answer:

$$\vec{E}(\vec{r}) = \frac{1}{4\pi\varepsilon} \left(- \frac{\vec{p}}{r^3} + \frac{3(\vec{p} \cdot \vec{r})r}{r^3}\right)$$