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Consider a region inside which there are various types of charges but the total charge is zero. At points outside the region,
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the dominant electric field is $\propto \frac{1}{\mathrm{r}_3}$, for large $\mathrm{r}$, where $\mathrm{r}$ is the distance from a origin in the regions
,
the work done to move a charged particle along a closed path, away from the region, will be zero
the dominant electric field is $\propto \frac{1}{\mathrm{r}_3}$, for large $\mathrm{r}$, where $\mathrm{r}$ is the distance from a origin in the regions
,
the work done to move a charged particle along a closed path, away from the region, will be zero
The electric field due to dipole is proportional to $\left(1 / r^3\right)$. When there are various types of charges in a region, but the net charge is zero, the region is, supposed to contain a number of electric dipoles.
So, at points outside the region the dominant electric field
$\propto \frac{1}{r^3}$ for large $r$.
Then, electric field is conservative, work done to move a charged particle along a closed path, away from the region will be zero
So, at points outside the region the dominant electric field
$\propto \frac{1}{r^3}$ for large $r$.
Then, electric field is conservative, work done to move a charged particle along a closed path, away from the region will be zero
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