MODEL QUESTIONS (IPE PATTERN)

Consider a uniform electric field $E = 3\times {10}^3 \mathrm{N}/\mathrm{C}$. What is the flux through the square of $10 \mathrm{cm}$ on a side if the normal to its plane makes a $60°$ angle with the x-axis?

There are four charges, each with a magnitude $Q$. Two are positive and two are negative. The charges are fixed to the corners of a square of side $\text{'}L\text{'}$, one to each corner, in such a way that the force on any charge is directed toward the center of the square. Find the magnitude of the net electric force experienced by any charge?

A hollow spherical shell of radius $r$ has a uniform charge density $\sigma$. It is kept in a cube of edge $3r$ such that the centre of the cube coincides with the centre of the shell. Calculate the electric flux that comes out of a face of the cube.

An electric dipole consists of two equal and opposite point charge $+\mathrm{Q} \mathrm{and} -\mathrm{Q}$ separated by a distance $2\mathrm{l}$. $P$ is a point collinear with the charges such that its distance from the positive charge is half of its distance from the negative charge. The electric intensity at $\mathrm{P}$.is 

Two infinitely long thin straight wires having uniform linear charge densities $\lambda$ and $2\lambda$ are arranged parallel to each other at a distance $r$ apart. Calculate intensity of the electric field at a point midway between them.

Two infinitely long thin straight wires having uniform linear charge densities $e$ and $2e$ are arranged parallel to each other at a distance $r$ apart. Calculate intensity of the electric field at a point midway between them.

An electron of mass $m$ and charge $e$ is fired perpendicular to a uniform electric field of intensity $\mathrm{E}$ with an initial velocity $u$. If the electron traverses a distance $x$ in the field in the direction of firing, find the transverse displacement $y$ it suffers.

An electron is projected between the plates with an electric field applied with a velocity $v_x=2.0\times {10}^6 \mathrm{m}/\mathrm{s}$ as shown in the figure. If the uniform electric field between the plates is $9.1\times {10}^2 \mathrm{N}/\mathrm{C}$ and the separation between the plates is $0.5 \mathrm{cm}$, where will the electron strike the upper plate? $\left(\left|e\right|=1.6\times {10}^{-19}\mathrm{C}, m_e=9.1\times {10}^{-31}\mathrm{kg}\right)$