Electric Charge...

The force of repulsion between two point charges is $$F,$$ when these are $$1{\text{ }}m$$ apart. Now the point charges are replaced by conducting spheres of radii $$5{\text{ }}cm$$ having the charge same as that of point charges. The distance between their centres is $$1{\text{ }}m,$$ then the force of repulsion will:

A metal plate of surface area $$2{m^2}$$ is charged with $$\sqrt {8.85} \,\mu C.$$ What is the mechanical force acting on the plate if it is kept in air? $$\left[ {{\varepsilon _0} = 8.85 \times {{10}^{ - 12}}{C^2}} \right]$$

Two positive point charges are placed at the distance $$a$$ apart have sum $$Q$$. What values of the charges, coulomb force between them is maximum

A uniform line charge with linear density $$\lambda$$ lies along the y-axis. What flux crosses a spherical surface centred at he origin with $$r\ =\ R$$

When two spheres having $$2$$Q and $$-$$Q are placed at a certain distance, the force acting between them is F. Then they are connected by a conducting wire and again separated from each other. How much force will act between them if the separation now is the same as before?

Two identical balls carrying charges $$ + 5\mu C$$ and $$ - 2\mu C$$ attracts each other with force $$F$$ in air. After keeping them into contact they are placed at same distance in water $$\left( {{ \in _r} = 81} \right)$$ the new force will be

The magnitude of the average electric field normally present in the atmosphere just above the surface of the Earth is about $$150\ N/C$$, directed inward towards the center of the Earth. This gives the total net surface charge carried by the Earth to be (approximately):
$$\left[Given\ { \varepsilon  }_{ 0 }=8.85\times { 10 }^{ -12 }{ C }^{ 2 }/{ N-m }^{ 2 },{ R }_{ E }=6.37\times { 1 }0^{ 6 }m \right]$$

If the intensity of electric field at a distance $$x$$ from the centre in axial position of small electric dipole is equal to the intensity at a distance $$y$$ in equatorial position, then

Two particles each of mass $$m$$ and charge $$q$$ are separated by $$r_1$$ and the system is left free to move at $$t = 0$$. At $$t = t$$, both the particles are found to be separated by $$r_2$$. The speed of each particles is

A particle of mass $$100 gm$$ and charge $$2 \mu C$$ is released from a distance of $$50 cm$$ from a fixed change of $$5\mu C$$. Find the speed of the particle when its distance from the fixed charge becomes $$3 m$$.