Using Gauss's law, derive an expression for the electric field intensity at any point near a uniformly charged thin wire of `charg e//l eng th = lambda C//m`.

Derive an expression for electric field intensity at a point due to point charge.

(a) Using Gauss's law, derive an expression for the electric field intensity at any point outside a uniformly charged thin spherical shell of radius R and charge density sigma C//m^(2) . Draw the field lines when the charge density of the sphere is (i) positive, (ii) negative. (b) A uniformly charged conducting sphere of 2.5 m in diameter has a surface charge density of 100 mu C//m^(2) . Calculate the (i) charge on the sphere (ii) total electric flux passing through the sphere.

Derive an expression for the electric field intensity at a point outside a charged conducting sphere.

Using Gauss’ law, derive an expression for the electric field at a point near an infinitely long straight uniformly charged wire.

Derive an expression for electric field intensity E due to an infinite place sheet of charge.

Derive an expression for the electric field intensity at a point outside an infinitely long charged cylindrical conductor.