Recent questions tagged electrostatics

A square metal sheet of $4 \mathrm{~m} \times 4 \mathrm{~m}$ is placed on the $x-y$ plane as shown in the figure below.If the surface charge density (in $\mu \mathrm{C} /...

​​​Let $\hat{i}$ and $\hat{j}$ be the unit vectors along $x$ and $y$ axes, respectively and let $A$ be a positive constant. Which one of the following statements is true ...

An electric field on a plane is described by its potential\[\mathrm{V}=20\left(r^{-1}+r^{-2}\right)\]where $r$ is the distance from the source. The field is due toa monop...

A system of three electric charges lying in a straight line is in equilibrium. Two of the charges are positive with magnitudes $Q$ and $2 Q$, and are $50 \mathrm{~cm}$ ap...

The electric field on the surface of a perfect conductor is $2 \mathrm{~Vm}$. The conductor is immersed in water with $\epsilon=80 \epsilon_{0}$. The surface charge densi...

The electric field strength at a distance point, $\mathrm{P}$, due to a point charge, $+q$. located on the origin, is $100 \; \mu \mathrm{V} / \mathrm{m}$. If the point c...

In the infinite plance, $y=6 \mathrm{~m}$, there exists a uniform surface charge density of $(1600 \; \pi)$ $\mu \mathrm{C} / \mathrm{m}^{2}$. The associated electric fie...

A metal sphere with $1 \mathrm{~m}$ radius and a surface charge density of $10 \; \mathrm{Coulombs / m}^{2}$ is enclosed in a cube of $10 \mathrm{~m}$ side. The total out...

For a uniformly charged sphere of radius $R$ and charge density $\rho$, the ratio of magnitude of electric fields at distances $R / 2$ and $2 R$ from the centre, i.e., $\...

In an electrostatic field, the electric displacement density vector, $\overrightarrow{D},$ is given by$$\overrightarrow{D} (x, y, z) = (x^{3} \overrightarrow{i} + y^{3} \...

Concentric spherical shells of radii $2$m, $4$m, and $8$ m carry uniform surface charge densities of $20 \: nC/m^2$, $ – 4 \: nC/m^2$ and $\rho_s$ respectively. The value...

The electric field (assumed to be one-dimensional) between two points $A$ and $B$ is shown. Let $\psi _A$ and $\psi _B$ be the electrostatic potentials at $A$ and $B$, re...

If $\overrightarrow{E} = -(2y^3 – 3yz^2)\hat{x} – (6xy^2-3xz^2) \hat{y}+(6xyz) \hat{z}$ is the electric field in a source free region, a valid expression for the electro...

An integral $I$ over a counterclockwise circle $\textbf{C}$ is given by $$I=\oint _c \frac{z^2-1}{z^2+1} e^z dz.$$ If $\textbf{C}$ is defined as$\mid z \mid=3$ , then the...