1)(a) Three equal positive charges of 4 x 10^{-9} coulomb each are located at three corners of the square, side 20cm. Find out the magnitude and direction of electric field at a vacant corner point of the square.
(b) Potential in the certain region is given as, V= x^{2} + 3y^{2} + 9zV determine the electric field intensity at P(1,-2,3).
2) Deduce the expression for electric field intensity at the point ‘P’ which is situated ‘h’ meters away from disc along its axis. Disc is charged uniformly with the charge density of ‘ρ_{s}’ C/m^{2}.
3)(a) Find the expression for capacitance between two parallel wires of an overhead transmission system.
(b) Find out the capacitance per km of the pair of parallel wires 5mm diameter, spaced uniformly 25cms apart in air.
4)(a) Deduce boundary conditions for two dielectric medium.
(b) prepare brief notes on nature of dielectric materials.
5) Deduce a general expression for field B^{→} at any point along the axis of a solenoid. Draw the variation of B^{→} from point to point along the axis.