Physics Electric Charge and Field

A solid sphere of radius 4a with centre at origin. Two charge, –2q at (–5a, 0) and 5q at (3a, 0) is placed. Flux through sphere is $\frac{xq}{{\epsilon }_0}$ . Find x

An electron is moving with speed of 1 m/s at distance of 1 m from a large sheet of charge with density sC/m². Find maximum value ofs such that electron hit the sheet after 1 sec.

(mass of electron 9 * 10^–31 kg, permittivity of free space e₀ = 9 * 10^–12C²/Nm²)

A charged particle of mass m and charge q is released from rest in a uniform electric field E. The KE of particle after time t is:

In a region of space, the electric field is given by $\vec{E}=6\widehat{i}-4\widehat{j}+7\widehat{k}$ . Electric flux through a surface of area $200$ unit in $y-z$ plane will be

A charge particle is free to move in an electric field. It will travel

In two cases, two identical conducting spheres are given equal charges, in one case of the same type whereas in another case of opposite type. The distance between the spheres is not large comparing with the diameter. Let $F_1$ and $F_2$  be the magnitude of the force of interaction between the spheres, as shown, then

Two infinitely long parallel wires having linear charge densities λ1 and λ2 respectively are placed at a distance of R. The force per unit length on either wire will be

Given below are two statements:

Statement I : An electric dipole is placed at the centre of a hollow sphere. The flux of electric field through the sphere is zero but the electric field is not zero anywhere in the sphere.

Statement II : If R is the radius of a solid metallic sphere and Q be the total charge on it. The electric field at any point on the spherical surface of radius r (

An inclined plane making an angle of 30° with the horizontal is placed in a uniform horizontal electric field $200\frac{N}{C}$  as shown in the figure. A body of mass 1kg and charge 5 mC is allowed to slide down from rest at a height of 1m. If the coefficient of friction is 0.2, find the time taken by the body to reach the bottom.

$\left[g=9.8m/s^2;sin30°=\frac{1}{2};cos30°=\frac{\sqrt[]{3}}{2}\right]$            

The electric field in a region is given by $\overrightarrow{E}=\left(\frac{3}{5}{E}_0\widehat{i}+\frac{4}{5}{E}_0\widehat{j}\right)\frac{N}{C}.$  The ratio of flux of reported field through the rectangular surface of are 0.2m² (parallel to y – z plane) to the of the surface of are 0.3m² (parallel to x – z plane) is a : b, where a = ……………

[Here $\widehat{i},\widehat{j}and\widehat{k}$  are the unit vectors along x, y and z – axes respectively]