A charge Q coulomb is uniformly distributed over a sphere volume of radius R metres. Obtain an expression for the energy of the system.

If the same charge of Q coulomb as in part above is given to a spherical conductor of the same radius R, what will be the energy of the system?

A positive charge Q is uniformly distributed along a circular ring of radius R. A small test charge q is placed at the centre of the ring.

A particle of mass m, with charge q moving with a uniform speed v, normal to a uniform magnetic field B, describes a circular path of radius r. Derive expression for the kinetic energy of the particle?

Electric field is the electrostatic force per unit charge acting on a vanishingly small test charge placed at that point. It is a vector quantity and the electric field inside a charged conductor is zero. Electric flux phi is the total number of electric lines of force passing through a surface in a direction normal to the surface when the surface is placed inside the electric field. phi=ointvecE.vec(ds)=q/epsilon_0 A positive charge Q is uniformly distributed along the circular ring of radius R. A small test charge q is placed at the centre of te ring as shown.

Consider an over all neutral sphere of radius R. This sphere has a point charge +Q at its centre and this positive charge is surrounded by a uniform density rho of negative charge upto a radius R. Use Gauss' law to obtain expressions for the electric field of this at a point distant r form tis centre. where r > R. show that these two expressions give identical results for the elctric field at r = R

Consider an over all neutral sphere of radius R. This sphere has a point charge +Q at its centre and this positive charge is surrounded by a uniform density rho of negative charge upto a radius R. Use Gauss' law to obtain expressions for the electric field of this at a point distant r form its centre. where r < R. show that these two expressions give identical results for the elctric field at r = R.

A charge q is distributed unifromly on x ring of radius r. A sphere of equal radius r is centred at the circumference of the ring . Find the flux of the electric field through the surface of the sphere.

Two point charges q1 and q2 are kept at a distance of r12 in air..If an external electric field is applied on the system, write the expression for the total energy of this system.