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.

An electric dipole is placed at an angle of $30°$ with an electric field of intensity $2\times {10}^5 \mathrm{N} {\mathrm{C}}^{-1}$. It experiences a torque equal to $4 \mathrm{N} \mathrm{m}$. Calculate the magnitude of charge on the dipole, if the dipole length is $2 \mathrm{cm}$.

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 :

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

Which of the following represents electric field neither constant in magnitude nor in direction?

The electric field and the potential of an electric dipole vary with distance $r$ as

An electric dipole with dipole moment $4\times {10}^{-9} \mathrm{C} \mathrm{m}$ is aligned at $30°$ with the direction of a uniform electric field of magnitude $5\times {10}^4 \mathrm{N} {\mathrm{C}}^{-1}$, the magnitude of the torque acting on the dipole is

If an electric dipole of moment $\left(P\right)$ is placed in a uniform electric field $\left(E\right)$ and making an angle $\left(\theta \right)$ with electric field, the potential energy of the electric dipole is

An electric dipole with dipole moment $5\times {10}^{-7} \mathrm{C} \mathrm{m}$ is in the electric field of $2\times {10}^4 \mathrm{N} {\mathrm{C}}^{-1}$ at an angle of $60°$ with the direction of the electric field. The torque acting on the dipole is

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.