Potential Due to a Electric Dipole

The electric potential at the equatorial position due to the dipole is zero.

Two electric dipoles $\overrightarrow{P_1}=-4Qa\widehat{i}$ and $\overrightarrow{P_2}=-2Qa\widehat{\mathrm{i}}$ are at points $A$ and $B$ separate by distance $r.$ Find the distance from point $A$ where net electric potential is zero.

In the given dipole, for $r>>2l$ , the electric potential at $A$ will be

In given dipole, for $r>>2\mathcal{l}$, electric potential at $A$ will be

The given dipole has charges $q$ and $-q$ separated by distance $\mathcal{l}$. The potential at $A$ due to dipole (assuming $r>>\mathcal{l}$) is

An electric dipole is fixed at the origin of coordinates. Its moment is directed in the positive $\mathrm{x}$ -direction. A positive charge is moved from the point $\left(\mathrm{r},\mathrm{ }0\right)$ to the point $\left(-\mathrm{r},\mathrm{ }0\right)$ by an external agent. In this process, the work done by the agent is

A short dipole is placed along $X$-axis with centre at origin. The electric field at a point $P$, which is at a distance $r$ from origin such that, $\overrightarrow{OP}=\overrightarrow{r}$ makes an angle of $45°$ with $X$-axis, is directed along a direction making -

Two charges $+q$ and $-q$ are kept apart. Then at any point on the right bisector of line joining the two charges,

The ratio of electric field and potential ($\mathrm{E}/\mathrm{V}$) at mid-point of electric dipole of length $l$, for which separation is

What is the electric potential at a point $P$, distance $r$ from the mid-point of an electric dipole of moment $p\left(2qa\right)$