Three infinite long plane sheets of uniform charge densities, ${\sigma }_1=-5\sigma \text{,} {\sigma }_2=+2\sigma$ and ${\sigma }_3=3\sigma$ are placed parallel to each other as shown in the figure below. The electric field at point $P$ will be,

In the figure the net torque acting on the dipole is

A spherical conductor $A$ is placed concentrically inside a hollow spherical conductor $B$. The charge $+Q$ is given to $A$ and $B$ is earthed. Then the electric field is not zero

A charge $q$ sits at the black corner of a cube as shown in the following figure:

What is the electric flux through the shaded side?

A total charge $Q$ is uniformly distributed over a long rod $\mathrm{AB}$ of length $L$ as shown in the figure below. The electric potential at the point $\mathrm{O}$ lying at a distance $\frac{L}{2}$ from the end $\mathrm{A}$ is