Embibe Experts Solutions for Chapter: Electrostatics, Exercise 1: TS EAMCET - 10 August 2021 Shift 1

Two equal and opposite charges are placed at points $P$ and $Q.$ The null point on the line joining them is

Point charges $+q$ and $-q$ are located at the vertices of a square with diagonals $2l$ as shown in the figure. The magnitude of the electric field strength at a point, located symmetrically with respect to the vertices of the square at a distance $x$ from its center is

$N$ number of charges, $+Q$ each, are placed maintaining equal distance on the circumference of a circle of radius $R.$ The net electrostatic potential at the centre of the circle is

Charge $+q$ and $-q$ are placed at points $A$ and $B$ respectively which are a distance $2L$ apart, $C$ is the midpoint between $A$ and $B.$ The work done in moving a charge $+Q$ along the semicircle $CRD$ is

An electric dipole of length $5 \mathrm{cm}$ is placed in an uniform electric field of $5\times {10}^5 \mathrm{N} {\mathrm{C}}^{-1}$ at an angle of $30°$ with the charges $+10 \mathrm{mC}$ and $-10 \mathrm{mC}$ on the dipole. The dipole experiences a torque of

The electric field in a region is given as, $\overrightarrow{E}=\left(10\hat{\mathrm{i}}+20\hat{\mathrm{j}}\right) \mathrm{V} {\mathrm{m}}^{-1}$ The net flux passing through a square area of side $2 \mathrm{m}$, parallel to $x-z$, plane is,

An electrical charge distribution is given by volume charge density $\rho \left(r\right)=\alpha r \left(0\le r\le R\right)$ when $r$ is the radial coordinate. Find the electric flux due to this distribution through a closed cylindrical surface of radius $R$ enclosing the above charge distribution

A point charge of $3.0 \mu \mathrm{C}$ is at the center of a Gaussian surface of radius $10 \mathrm{cm}.$ What is the net electric flux through the surface?
[use ${\epsilon }_0=9\times {10}^{-12}$ in $\mathrm{S}.\mathrm{I}.$ unit]