Charges are placed at the vertices of an equilateral triangle as shown in the figure. What is the resultant dipole moment?

An electric dipole is kept on the axis of a uniformly charged ring at a distance of $R/\sqrt{2}$ from the center of the ring. The direction of the dipole moment is along the axis. The dipole moment is $P$,the charge of the ring is $Q$,and the radius of the ring is $R$. The force on the dipole is nearly:

Match Column-$I$ with Column-$II$ related to an electric dipole of dipole moment $\vec{p}$ that is placed in a uniform electric field $\overrightarrow{E}$.

Column-$I$ (Angle between $\vec{p}$ and $\vec{E}$)	Column-$II$ (Potential energy of the dipole)
$a. 180^{\circ}$	$i. -pE$
$b. 120^{\circ}$	$ii. pE$
$c. 90^{\circ}$	$iii. \frac{1}{2} pE$
	$iv. 0$

$A$ given charge is situated at a certain distance from an electric dipole in the end-on position experiences a force $F$. If the distance of the charge is doubled,the force acting on the charge will be:

Three identical dipoles are arranged as shown below. What will be the net electric field at $P$ $\left( {k = \frac{1}{{4\pi {\varepsilon _0}}}} \right)$?

Give the definition of electric dipole moment using the equation of torque.