Electric Dipole

The electrostatic potential due to an electric dipole at an equatorial point is

The S.I unit of electric dipole moment is

Which orientation of an electric dipole(p) in a uniform electric field(E) would correspond to stable equilibrium?

Two point charges 4Q,Q are separated by 1 m in air at what point on the line joining the charges is the electric field intensity zero?

Also calculate the electrostatic potential energy of the system of charges, taking the value of charge,  $Q=2\times {10}^{-7}$ C.

Two equal charges $q$of opposite sign separated by a distance $2a$ constitute an electric dipole of dipole moment $p$. If $P$ is a point at a distance$r$from the centre of the dipole and the line joining the centre of the dipole to this point makes an angle $\theta$ with the axis of the dipole, then the potential at $P$ is given by: ($r>>2a$) (Where $p=2qa$)

Two charges of each magnitude $0.01 \mathrm{C}$ and separated by a distance of $0.4 \mathrm{mm}$ constitute an electric dipole. If the dipole is placed in an uniform electric field $\overrightarrow{E}$ of $10 \mathrm{dyne}·{\mathrm{C}}^{-1}$ making ${30}^{\circ }$ angle with $\overrightarrow{E},$ the magnitude of torque acting on dipole is:

The electric field due to a short electric dipole at a large distance $\left(r\right)$ from center of dipole on the equatorial plane varies with distance as :

An electric dipole of dipole moment is $6.0 \times {10}^{-6} \mathrm{C} \mathrm{m}$ placed in a uniform electric field of $1.5 \times {10}^3 \mathrm{N} {\mathrm{C}}^{-1}$ in such a way that dipole moment is along electric field. The work done in rotating dipole by $180°$in this field will be_______$\mathrm{mJ}$.

A dipole comprises of two charged particles of identical magnitude $q$ and opposite in nature. The mass $m$ of the positive charged particle is half of the mass of the negative charged particle. The two charges are separated by a distance $l$ . If the dipole is placed in a uniform electric field $\overrightarrow{E}$; in such a way that dipole axis makes a very small angle with the electric field, $\overrightarrow{E}$. The angular frequency of the oscillations of the dipole when released is given by:

A dipole of charge $0.01 \mathrm{C}$ and separation $0.4 \mathrm{mm}$, is placed in an electric field of strength $10 \mathrm{dyn} {\mathrm{C}}^{-1}$. Find the maximum torque exerted on the dipole in the field

An electric dipole is shown in the figure. If it is displaced angularly by a small angle with respect to electric field, then angular frequency of oscillation is given by

Three charges $-q,-q,+2q$ are placed at vertices of an equilateral triangle constitutes two dipoles. $\overrightarrow{P_1},\overrightarrow{P_2},\overrightarrow{P_3},\overrightarrow{P_4},\overrightarrow{P_5},\overrightarrow{P_6}$ are probable dipole moments. The net dipole moment is along resultant of _____.

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An electric dipole of dipole moment $p=6\times {10}^{-4}\mathrm{Cm}$ is placed in a uniform external electric field of intensity $2\times {10}^5 {\mathrm{NC}}^{-1}$ as shown in the figure. The angle between net electric field with external electric field $E$ at point $A$ will be $\left(l<<r\right)$

An electric dipole consist of $2$ opposite charges of magnitude $\frac{1}{3}\times {10}^{-7}\mathrm{C}$, separated by $2 \mathrm{cm}$. The dipole is placed in an external field of $3\times {10}^{+7}{\mathrm{NC}}^{-1}$. Determine maximum torque on the dipole.

A dipole is placed in a uniform electric field such that potential energy of a dipole is minimum $\left(U\right)$. The work done by the external agent in rotating dipole by $180°$ is

Two identical short electric dipoles each having dipole moment $\overrightarrow{P}$ are placed in $x-y$ plane as shown in the figure.

Net electric field at point $A$ due to these dipoles will be

If potential energy of a dipole is chosen to be zero when dipole moment vector makes angle $\frac{\pi }{3}$ with uniform electric field $E$. Then potential energy when dipole moment vector becomes parallel to electric field will become

Two point charges each of $5 \mathrm{mC}$ but opposite in sign are placed $4 \mathrm{cm}$ apart. Calculate the electric field at a point distance $4 \mathrm{cm}$ From the mid-point on the axial line.

Three charges are placed at the corner of an equilateral triangle of side $a$ as shown in the figure. Find the electric dipole moment of the system.

Calculate electric field due to electrical dipole of length $10 \mathrm{cm}$, having charge of $1 \mathrm{\mu C}$ at an equatorial point $12 \mathrm{cm}$ from the centre the dipole.