Saturday, November 22, 2014

Solution for Question 2 : IES Conventional 1998 : Electronics & Telecommunication Engineering : Paper I

Q. 2 (a): A certain homogeneous slab of lossless dielectric material is characterized by an electric susceptibility of 0.12 and carries a uniform flux density within it of 1.6 nC/m. Find the electric field intensity, the polarization, the average dipole moment if there are 2e19 dipoles per cubic meter and the voltage between two equipotential 2.54 cm apart.

Sol: here, electric flux density (D) = 1.6 nC/m
                         susceptibility (X) = 0.12

      a) Electric field intensity (E):

                D = EE = EEE = (X + 1) EE

           =>  E = D/(X + 1)E= 161.3 V/m

       b) Polarization (P):

                 P = EE = 171.4 pC/mm

       c) Average dipole moment = 8.57e-30 cm

       d) Voltage between two equipotential 1cm apart = 4.10 V



Q. 2 (b): Calculate the inductance of a toroid formed by surfaces p = 3cm, p = 5cm, z = 0, z = 1.5 cm, wrapped with 5000 turns of wire. The core has a magnetic material with ur = 6 (Do not use approximation in evaluating the flux). 

Sol: 

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