Electric Dipole

When placed apart, two opposite and equal charges of magnitude  each when placed $2 \times {10}^{–2} \mathrm{cm}$ apart form a dipole. If this dipole is placed in an external electric field of $4 \times {10}^8 \mathrm{N} {\mathrm{C}}^{-1},$ the value of maximum torque and the work required in rotating it through ${180}^{°}$ from its initial orientation which is along the electric field will be: (Assume rotation of dipole about an axis passing through the centre of the dipole): 

Due to an electric dipole shown in figure, the electric field intensity is parallel to dipole axis:

The potential of dipole at its axial position is proportional to distance $r$ as:

At the equator of electric dipole, angle between electric dipole moment and electric field is:

An electric dipole is placed along the North-South direction in a sphere filled with water: Which statement is true?

Electric field on the axis of electric dipole, at a distance of $r$ from its centre is $E.$ If dipole is rotated: through $90°;$ then electric field intensity at the same point will be:

Potential due to an electric dipole at some point is maximum or minimum when axis of dipole and line joining point and dipole are at angles respectively:

Six point charges are kept at the vertices of a regular hexagon of side L and centre $O,$ as shown in the figure. Given that $K=\frac{1}{4\pi {\epsilon }_0}\frac{q}{L^2},$ Which of the following statement(s) is (are) incorrect?

The electric potential in volt due to an electric dipole of dipole moment $2\times {10}^{-8} \mathrm{C} \mathrm{m}$ at a distance of $3 \mathrm{m}$ on a line making an angle of $60°$ with the axis of the dipole is -

The electric potential in volt at a distance of $0.01 \mathrm{m}$ on the equatorial line of an electric dipole of dipole moment $p$ is -

The distance between two singly ionised atoms is $1 \mathrm{\AA }.$ If the charge on both ions is equal and opposite then the dipole moment in $\mathrm{C} \mathrm{m}$ is -

An electric dipole is made up of two equal and opposite charges of $2\times {10}^{-8}$ coulomb at a distance of $3 \mathrm{cm}.$ This is kept in an electric field of $2\times {10}^5 \mathrm{N} {\mathrm{C}}^{-1}$ then the maximum torque acting on the dipole-

The electric potential at a point due to an electric dipole will be -

A dipole of dipole moment $P,$ is placed in an electric field $\overrightarrow{E}$ and is in stable equilibrium. The torque required to rotate the dipole from this position by angle $\theta$ will be -

The force on a charge situated on the axis of a dipole is $F.$ If the charge is shifted to double the distance, the acting force will be -

If an electric dipole is kept in a non-uniform electric field, then it will experience:

An electric dipole has a fixed dipole moment $\overrightarrow{p}$ which makes angle $\mathrm{\theta }$ with respect to $x$-axis. When subjected to an electric field ${\overrightarrow{E}}_1=E\hat{\mathrm{i}}$, it experiences a torque ${\overrightarrow{T}}_1=\tau \hat{\mathrm{k}}$. When subjected to another electric field ${\overrightarrow{E}}_2=\sqrt{3}E\hat{\mathrm{j}}$, it experiences torque ${\overrightarrow{T}}_2=-{\overrightarrow{T}}_1$. The angle $\mathrm{\theta }$ is, 

An electric dipole is placed at an angle of ${30}^{°}$ to a nonuniform electric field. The dipole will experience

Two electric dipoles, $A,$ $B$ with respective dipole moments $\overrightarrow{d_A}=-4qa\widehat{\mathrm{i}}$ and $\overrightarrow{d_B}=-2qa\widehat{\mathrm{i}}$ are placed on the $x$ -axis with separation $R,$ as shown in the figure

The distance from $A$ at which both of them produce the same potential is:

Charges $-q$ and $+q$ located at $A$ and $B,$ respectively, constitute an electric dipole. Distance $AB=$$2a, O$ is the mid point of the dipole and $OP$ is perpendicular to $AB.$ A charge $Q$ is placed at $P$ where $OP=y$ and $y>>2a.$ The charge $Q$ experiences an electrostatic force $F.$ If $Q$ is now moved along the equatorial line to $P^{\text{'}}$ such that $O{P}^{\text{'}}=\left(\frac{y}{3}\right),$ the force on $Q$ will be close to: $\left(\frac{y}{3}>2a\right)$