Electric Charge...

Two pith balls each of mass $$1g$$ and carrying a charge 1$$\mu$$C are attached to the ends of silk threads $$1m$$ long, the other ends of which are attached to some fixed point, in a gravity free space. The force between them is :

The electric field in a region is given by $$\overrightarrow{E} = \dfrac{3}{5} E_0 \hat{j}$$ with $$E_0=2 \times 10^3 NC^{-1}$$ Find the flux of this field through a rectangular surface of area $$0.2 m^2$$ parallel to the $$Y-Z$$ plane.

The electric field at a point $$5 cm$$ from a long line charge of density $$2.5 \times 10^{-6} cm^{-1}$$ is :

Coulomb's Law is true for

In a region of space, the electric field is given by $$\vec{E}=8\hat{i}+4\hat{j}+3\hat{k}$$. The electric flux through a surface of area $$100$$ units in the xy plane is :

Two charges are placed at a certain distance apart in air. If a glass slab is introduced between them, the net force between them will :

The surface that have  zero flux are

A cube of side $$a$$ is placed such that the nearest face which is parallel to the $$y - z$$ plane is at distance $$'a'$$ from the origin. The electric field components are $$E_{x} = \alpha x^{1/2}, E_{y} = E_{z} = 0$$.
The flux $$\phi_{E}$$ through the cube is

A certain charge $$Q$$ is divided into two parts $$q$$ and $$Q- q$$, which are then separated by a certain distance.What must $$q$$ be in terms of $$Q$$ to maximize the electrostatic repulsion between the two charges?

The $$E-r$$ curve for an infinite linear charge distribution will be :