Write the expression for electric field intensity at any point outside and inside due to a charged spherical shell.

(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 electric field intensity at a point due to point charge.

State Gauss's theorem in electrostatiics. State the expression for electric field intensity at a point outside an infinitely long charged conducting cylinder.

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

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

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

The expression for electric field intensity at a points outside uniformly charged thin plane sheet is (where, d is the distance of point from plane sheet)

Using Gauss’s theorem in electrostatics, deduce an expression for electric field intensity due to a charged spherical shell at a point (i) inside (ii) on its surface (iii) outside it. Graphically show the variation of electric field intensity with distance from the centre of shell.