Question

explain about the axial symmetry of potential due to a dipole? i am having problem

Answer 1

Potential due to dipole is given by:
$$\begin{gathered} V=\frac{p\cos \theta }{4\pi {\epsilon }_o{r}^2} \\ where\theta istheanglebetweendipolemment\overrightarrow{p}andpositionvecor\overrightarrow{r}. \\ Nowconsiderapointpwhosepositionvectorismakinganangle\theta withaxiallineordiploemoment. \\ Ifwerotatethispointparoundaxiallineatthe\mathrm{co}ns\tan tangle\theta ,thenitwilltraceaconearondtheaxialline, \\ whichhassamepotential. \\ Thisiscalledtheaxialsymmetryofpotentialduetodipole. \end{gathered}$$