An electric dipole is in unstable equilibrium in the uniform electric field. The angle between its dipole moment and electric field is

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:

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?

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

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

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.

An electric dipole having a dipole moment $\overrightarrow{p}$ is initially aligned along a uniform electric field $\overrightarrow{E}$. If the dipole is rotated from its equilibrium position by a small angle, it would execute simple harmonic oscillation. If the moment of inertia of the dipole is $I$, the period of oscillation is

An electric dipole of length $10 \mathrm{cm}$ having charges $\pm 6\times {10}^{-3} \mathrm{C}$, placed at $30°$ with respect to a uniform electric field experiences a torque of magnitude $6\sqrt{3} \mathrm{Nm}$. The magnitude of the electric field is

The electric field in a certain region of space obeys $E_y\ne 0, E_x=E_z=0$ and $\frac{\partial \overrightarrow{E}}{\partial x}\ne 0, \frac{\partial \overrightarrow{E}}{\partial y}=\frac{\partial \overrightarrow{E}}{\partial z}=0$. Then, net torque on an electric dipole parallel to the $x-$axis in this field is

What happens when a dipole is in the presence of non uniform electric field?

What is stability of equilibrium?

What is stable and unstable condition of dipole?

What is the condition of stable and unstable equilibrium of electric dipole?

An electric dipole of moment p is placed in an electric field of intensity E. The dipole acquires a position such that the axis of the dipole makes an angle $\theta$ with the direction of the field. Assuming that the potential energy of the dipole to be zero when $\theta =90^{\text{o}}$, the torque and the potential energy of the dipole will respectively be

A pair of charge $+q$ and $-q$, separated by a small distance 2a ia place in a electric field $\overrightarrow{E}$, so that the line joining the charges makes an angle $\theta$with $\overrightarrow{E}$. Write the expression for torque $\varsigma$ and $\left|\overrightarrow{\varsigma }\right|$.

Assertion (A): An electric dipole is placed in a uniform electric field. Its equilibrium will be stable when the dipole is set along the direction of the electric field.

Reason (R): In stable equilibrium energy of dipole should be the least possible.

Assertion (A):  An electric dipole is placed in a uniform electric field. Its equilibrium will be stable when the dipole is set along the direction of the electric field.

Reason (R): In stable equilibrium energy of dipole should be the least possible.

What are the conditions for stable and unstable equilibrium for torque of an electric dipole placed in uniform electric field?