Questions in Electrostatics

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An electric dipole consisting of two opposite charges of $2 \times {10^{ - 6}}C$ each separated by a distance of $3\,cm$ is placed in an electric field of $2 \times {10^5}$ N/C. The maximum torque on the dipole will be
An electric dipole of moment $\overrightarrow p $ is placed normal to the lines of force of electric intensity $\overrightarrow E $, then the work done in deflecting it through an angle of $180^\circ $ is
The distance between the two charges $ + q$ and $ - q$ of a dipole is $r$. On the axial line at a distance $d$ from the centre of dipole, the intensity is proportional to
An electron and a proton are at a distance of $1{\AA}$. The moment of this dipole will be (Cm)
The electric field due to a dipole at a distance$r$ on its axis is
Two charges$ + 3.2 \times {10^{ - 19}}$ and $ - 3.2 \times {10^{ - 19}}C$ placed at $2.4{\AA}$ apart form an electric dipole. It is placed in a uniform electric field of intensity $4 \times {10^5}\,volt/m$. The electric dipole moment is
An electric dipole of moment $p$is placed at the origin along the $x$-axis. The electric field at a point $P$, whose position vector makes an angle$\theta $with the $x$-axis, will make an angle ..... with the $x$-axis, where $\tan \alpha = \frac{1}{2}\tan \theta $
An electric dipole is placed along the $x - $axis at the origin $O$. A point $P$ is at a distance of $20\,cm$ from this origin such that $OP$ makes an angle $\frac{\pi }{3}$ with the x-axis. If the electric field at $P$ makes an angle $\theta $ with the x-axis, the value of $\theta $ would be
Electric charges $q,\,q,\, - 2q$ are placed at the corners of an equilateral triangle $ABC$ of side $l$. The magnitude of electric dipole moment of the system is
The torque acting on a dipole of moment $\overrightarrow P $ in an electric field $\overrightarrow E $ is

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