Continues Charge Distribution

Charge is distributed within a sphere of radius R with a volume charge density p(r)=(A)/(r^(2))e^(-2r//a), where A and a are constants. If Q is the total charge of this charge distribution, the radius R is :

A charge +Q , is uniformaly distributed within a sphere of radius R. Find the electric field, due to this charge distribution, at a point distant r form the centre of the spehre where : (i) 0 lt r lt R and (ii) r gt R

A charge is moved in an electric field of a fixed charge distribution from point A to another point B slowly. The work done by external agent in doing so is 100 J . What is the change in potential energy of the charge as it moves from A to B ? What is the work done by the electric field of the charge distribution as the charge moves from A to B ?

A charge is moved in an electric field of a fixed charge distribution from point A to another point B slowly. The work done by external agent in doing so is 100J . What is the change in potential energy of the charge as it moves from A to B ? What is the work done by the electric field of the charge distribution as the charge moves from A to B ?

Find the direction of electric field at P for the charge distribution as shown infigure.

The electric field is measured at a point 0,0, generated due to various charge distributions and the dependence of on is found to be different for different charge distributions. List-I contains different relations between E and . List-II describes different electric charge distributions, along with their locations. Match the functions in List-I with the related charge distributions in List-II.

A : If electric flux over a closed surface is negative then the surface encloses net negative charge. R : Electric flux is independent of the charge distribution inside the surface.

Consider the Gaussian surface that surrounds parts of the charge distribution shown in figure. Then the contribution to the electric field at point P arises from charges

Suppose that electric potential due to a small charge configuration varies inversely with with square of distance from the charge distribution . Electric field intensity will vary inversely with what power of distance from the charge configuration in this case ?

Find the magnitude of electric potential at the origin due to following charge distribution ( If q= 1 Nc ) .