Question

Electric field on the axis of a small electric dipole at a distance r is E1 and E2 at a distance of 2r on a line of perpendicular bisector.Then

Answer 1

$$\begin{gathered} {\mathrm{E}}_{\mathrm{axis}}=\frac{2\mathrm{KP}}{{\mathrm{r}}^3}(\mathrm{along}\overrightarrow{\mathrm{P}}) \\ \mathrm{and} \\ {\mathrm{E}}_{\mathrm{bisector}}=\frac{\mathrm{KP}}{(2\mathrm{r}{)}^3}(\mathrm{Opposite}\mathrm{to}\overrightarrow{\mathrm{P}})=-\frac{\mathrm{KP}}{8{\mathrm{r}}^3} \\ \frac{{\mathrm{E}}_{\mathrm{axis}}}{{\mathrm{E}}_{\mathrm{bisector}}}=-\frac{2\mathrm{KP}}{{\mathrm{r}}^3}\times \frac{8{\mathrm{r}}^3}{\mathrm{KP}}=\frac{16}{1} \\ \mathrm{Or}{\mathrm{E}}_{\mathrm{bisector}}=-\frac{{\mathrm{E}}_{\mathrm{axis}}}{16} \end{gathered}$$