Electrostatics

Two metallic spheres of radii $1 \mathrm{~cm}$ and $3 \mathrm{~cm}$ are given charges of $-1 \times 10^{-2} \mathrm{C}$ and $5 \times 10^{-2} \mathrm{C}$, respectively. If these are connected by a conducting wire, the…

Electric field at point $(30,30,0)$ due to a charge of $0.008 \mu \mathrm{C}$ placed at origin will be, (coordinates are in cm)

A dust particle of mass $4 \times 10^{-12} \mathrm{mg}$ in suspended in air under the influence of an electric field of $50 \mathrm{~N} / \mathrm{C}$ directed vertically upwards. How many electrons were removed from the…

The potential of a large liquid drop when eight liquid drops are combined is 20 V , then the potential of each single drop was

An oil drop of radius $1 \mu \mathrm{~m}$ is held stationary under a constant electric field of $3.65 \times 10^4 \mathrm{~N} / \mathrm{C}$ due to some excess electrons presence on it. If the density of oil drop is…

Electric potential at a point 'P' due to a point charge of $5 \times 10^{-9} \mathrm{C}$ is 50 V . The distance of ' P ' from the point charge is: (Assume, $\frac{1}{4 \pi \varepsilon_0}=9 \times 10^{+9} \mathrm{Nm}^2…

If two charges $q_1$ and $q_2$ are separated with distance ' $d$ ' and placed in a medium of dielectric constant $K$. What will be the equivalent distance between charges in air for the same electrostatic force ?

The force between two small charged spheres having charges of $1 \times 10^{-7} \mathrm{C}$ and $2 \times 10^{-7} \mathrm{C}$ placed $20 \mathrm{~cm}$ apart in air is

The electric potential $V$ is given as a function of distance $\times($ metre $)$ by $V=\left(5 x^{2}+10 x-4\right)$ volt. Question: Value of electric field at $x=1 \mathrm{~m}$ is

Two metal plates having a potential difference of $800 V$ are $2 \text{cm}$ apart. It is found that a particle of mass $1\cdot 96×{10}^{-15} \text{kg}$ remains suspended in the region between the plates. The charge on…

The surface charge density of a thin charged disc of radius $\mathrm{R}$ is $\sigma$. The value of the electric field at the centre of the disc is $\frac{\sigma}{2 \epsilon_{0}}$. With respect to the field at the…

A solid sphere of radius $R$ has a charge $Q$ distributed in its volume with a charge density $\rho$ $=k r^{a}$, where $k$ and $a$ are constants and $r$ is the distance from its centre. If the electric field at $r=$…