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?

For unstable equilibrium, basic two conditions are (what should be angle between $\overrightarrow{\mathrm{P}} \& \overrightarrow{\mathrm{E}}$ and $\mathrm{U}$)

When electric dipole is kept in uniform electric field such that torque is zero and potential energy is maximum then equilibrium is

A dipole is placed in an electric field such that the axis of the dipole is parallel to the electric field. The torque acting on the dipole will be the maximum in this case. The statement is _____

A dipole is said to be in stable equilibrium when angle between electric field and dipole moment is _____

If an electric dipole is placed in a uniform electric field ______ will act on the dipole.

A dipole in stable equilibrium, when Electric filed and dipole moment are perpendicular to each other i.e. the angle between them is _____ degrees and torque will be maximum.

A dipole is said to be in stable equilibrium when angle between electric field and dipole moment is:​

An electric dipole of length $1 \mathrm{cm}$ is placed with the axis making an angle of $30°$ to an electric field of strength ${10}^4 \mathrm{N} {\mathrm{C}}^{-1}$. If it experiences a torque of $10\sqrt{3} \mathrm{N} \mathrm{m}$, the potential energy (in joule) of the dipole is $-x \mathrm{J}$. Find the value of $x$.

If an electric dipole is placed in a uniform electric field, it experiences:

An electric dipole is formed by two equal and opposite charges $\mathrm{q}$ with separation $\mathrm{d}$. The charges have same mass $\mathrm{m}$. It is kept in a uniform electric field $\mathrm{E}$. If it is slightly rotated from its equilibrium orientation, then its angular frequency to is :

An electric dipole is placed in a uniform electric field. Assuming the angle between the electric field and dipole axis is $45°$, the dipole will experience

A dipole is said to be in unstable equilibrium when angle between dipole moment and electric field is

Assertion: Net electric force on electric dipole is zero in a uniform electric field.

Reason: Value of electric field at axis due to electric dipole is double of equatorial axis of it.

A pair of charges $+q$ and $- q$, separated by a small distance $2a$ is placed in an electric field $\overrightarrow{E}$, so that the line joining the charges makes an angle $\theta$ with $\overrightarrow{E}$. Write the expressions for torque and also its magnitude.

The electric dipole is situated in an electric field as shown in figure. Both the dipole and the electric field are in the plane of the paper. The dipole is rotated about an axis perpendicular to the plane of the paper and passing through a point $\mathrm{C}$ . The direction of rotation is anti-clockwise. If the angle of rotation $\mathrm{\theta }$ is measured with reference to a line which is perpendicular to the electric field then the variation of $𝜏$ with $\mathrm{\theta }$ is best represented by curve -