A spherical non-conducting shell of uniform charge density $\sigma$ has a small circular hole cut out of it as shown in the figure. What is magnitude of the electric field just inside the sphere, directly below the centre of the circular hole?

 

Let $\sigma$ be the uniform surface charge density of two infinite thin plane sheets shown in figure. Then the electric fields in three different region $E_I , E_{II}$ and $E_{III}$

Two non-conducting spheres of radii $R_1$ and $R_2$ and carrying uniform volume charge densities $+\rho$ and $-\rho$, respectively, are placed such that they partially overlap, as shown in the figure. At all points in the overlapping region,

As shown in the figure, a point charge $Q$ is placed at the centre of conducting spherical shell of inner radius $a$ and outer radius $b$. The electric field due to charge $Q$ in three different regions $I, II \text{and} III$ is given by : $(I : r < a, II : a < r < b, III : r > b)$

A solid metal sphere of radius $R$ having charge $q$ is enclosed inside the concentric spherical shell of inner radius $a$ and outer radius $b$ as shown in the figure. The approximate variation of electric field $\overrightarrow{E}$, as a function of distance $r$, from centre $O$, is given by:

Electric intensity outside a charged cylinder having the charge per unit length $\lambda$ at a distance $r$ from its axis is ____.

A spherically symmetric charge distribution is considered with charge density varying as

$\rho \left(r\right)=\left\{\begin{array}{ll}{\rho }_0\left(\frac{3}{4}-\frac{r}{R}\right)& \text{ for }r\le R\\ \mathrm{Zero}& & & \mathrm{for} r>R\end{array}\right.$

Where, $r\left(r<R\right)$ is the distance from the centre $O$ (as shown in figure). The electric field at point $P$ will be :