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  •   Two point dipoles of dipole moments pk^ and p2k^ are located at (0, 0, 0) & (1 m, 0, 2 m) respectively. The resultant electric field due to the two dipoles at

 

Two point dipoles of dipole moments pk^ and p2k^ are located at (0, 0, 0) & (1 m, 0, 2 m) respectively. The resultant electric field due to the two dipoles at the point (1 m, 0, 0) is:  

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To find the resultant electric field due to two point dipoles p1?\vec{p_1}p1?? at (0,0,0) and p2?\vec{p_2}p2?? at (1 m, 0, 2 m), we first calculate the electric field from each dipole at the point of interest using the dipole field formula. We then apply vector addition to get the resultant electric field. 

\vec{E} = \frac{1}{4\pi\epsilon_0} \left( \frac{3(\vec{p} \cdot \hat{r})\hat{r} - \vec{p}}{r^3} \right)
 

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