Electrostatics

A dipole is placed in an electric field as shown. In which direction will it move?

A conducting sphere of radius $R$ is given a charge $Q.$ The electric potential and the electric field at the center of the sphere respectively are:

A uniformly charged solid sphere of radius R has potential $V_{0}$ (measured with respect to $\infty$) on its surface. For this sphere the equipotential surfaces with potential…

A solid sphere of radius $R$ carries a charge $Q+q$ distributed uniformly over its volume. A very small point like piece of it of mass $m$ gets detached from the bottom of the sphere and falls down vertically under…

Two electric dipoles, $A,$ $B$ with respective dipole moments $\vec{d_{A}}=-4qa\hat{i}$ and $\vec{d_{B}}=-2qa\hat{i}$ are placed on the $x$ -axis with a separation $R,$ as shown in the figure The distance from $A$ at…

A uniform electric field $E=\left(\frac{8m}{e}\right)V m^{-1}$ is created between two parallel plates of length $1 m$ as shown in figure, (where $m=$ mass of electron and $e=$ charge of electron). An electron enters the…

Three charged particles $\text{A}\operatorname{,}\,\text{B}$ and $\text{C}$ with charges $-4q,2q$ and $-2q$ are present on the circumference of a circle of radius $d.$ The charged particles $\text{A},\text{C}$ and…

Charge is distributed within a sphere of radius $R$ with a volume charge density $\rho\,\left(r\right)=\frac{A}{r^{2}}e^{-\frac{2r}{a}},$ where $A$ and $a$ are constants. If $Q$ is the total charge of this charge…

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…

A spherically symmetric charge distribution is considered with charge density varying as $\rho\,\left(r\right)=\left{\begin{matrix} \rho\,_{0}\left(\frac{3}{4}-\frac{r}{R}\right) & \text{for}r\leq\,R \\ \mathrm{Zero} &…

Two identical electric point dipoles have dipole have dipole moments$\vec{p}_{1}=p\hat{i}$and$\vec{p}_{2}=-p\hat{i}$and are held on the$x$-axis at distance '$a$'from each other. When released, they move along…

A cube is placed inside an electric field,$\vec{E}=150y^{2}\hat{j}$The side of the cube is $0.5m$ and is placed in the field as shown in the given figure. The charge inside the cube is: