A ring of radius R is uniformly charged by + Q charge. Find potential at an axial point, which is situated at distance r from the centre and hence deduce electric field.

A non-conducting solid sphere of radius R is uniformly charged. The magnitude of the electric field due to the sphere at a distance r form its centre

A thin metallic spherical shell of radius R carries a charge Q on its surface. A point charge Q/2 is placed at its centre C and another charge +2Q outside the shell at a distance r from the centre as shown in figure. Find the electric flux through the shell.

A hemisphere is uniformly charge positively. The electric field at a point on the diameter away from the centre is directed.

How does electric field at a point change with distance r from an infinitely long charged wire?

How does electric field at a point change with distance r from an infinite thin sheet of charge?

The nuclear charge (Ze) is nonuniformly distributed within a nucleus of radius R. The charge density p(r) (change per unit volume) is dependent only on the radial distance r from the center of the nucleus as shown in figure, the electric field is only along the radial direction. The electric field at r = R

A thin circular ring of radius r is charged uniformaly so that its linear charge density becomes lambda . Derive an expression for the electric for the electric field at a point P at a distance x from it along the axis of the ring. Hence, prove that at large distances (x>>r), the ring behaves as a point charge.

Two point charges q and-q are placed at a distance 2a part. Calculate the electric field at a point P situated at a distance r along the axial line of an electric dipole. What is the electric field when r>>a ? Also, give the direction of elctric field w.r.t. electric dipole.