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Regulation : 09 Code No: EE209/2 VIGNAN UNIVERSITY :: VADLAMUDI - 522 213 Vignan’s Foundation for Science, Technology and Research (Estd. U/s 3 of UGC Act of 1956) II B.Tech III Semester Regular Examination, December, 2010 ELECTRO MAGNETIC FIELDS (EEE) Time: 3 hours Max. Marks : 60 Answer ONE question from each unit All Questions carry equal marks *** UNIT – I 1. 12 Marks (a) Derive the expression for electric field intensity due to a line charge carrying uniform line charge density PL c/m extending from a point A to point B on the z – axis. 6M (b) A point charge of 30nC located at the origin while plane y = 3 carries charge density 10 nC / m2. Find D at (0,4,3) 6M (OR) 2. (a) (b) Explain the applications of Gauss Law and hence obtain the expression for D due to a point charge. 4M Derive Coulomb’s law from Gauss law. 4M (c) Give D = z cos 2 a z c / m 2 . Calculate the charge density at (1, ,3). 4 UNIT – II 3. 4M 12 Marks (a) Derive the boundary conditions between 2 dielectrics having dielectric constants 1 and 2 . 4M (b) Define polarization and obtain a relation between D , E and P . (c) Given the potential V = 4M 10 sin cos . Find the electric flux density D at 2, ,0 2 2 4M (OR) 4. (a) State and Explain Laplace’s equation. 4M (b) (c) Derive the expression for capacitance of co-axial capacitor. Derive the expression for energy density in Electro static field. 4M 4M UNIT – III 5. (a) (b) 12 Marks State and explain Biot – Savart’s Law. 4M A circular loop located on x2 + y2 = 9, z = 0 carries a direct current of 10 Amps. Along a . Determine H at (0,0,4) and (0,0,-4). 1 of 2 4M Regulation : 09 Code No: EE209/2 (c) A solenoid of length l and radius r consists of N turns of wire carrying a current I. Show nI that at point P along its axis H = cos 2 cos 1 a z . Where n = N , 1 and 2 are 2 l angles subtended at P by the end of turns as shown in fig. 5(c) (OR) 6. (a) (b) Derive the expression for magnetic field intensity due to a infinite straight conductor placed along z axis which carries a uniform line current I amps. 6M Derive the expression for magnetic field infinite steel sheet of current using Ampere’s circuit law. 6M UNIT – IV 7. 12 Marks (a) Derive the expression for self and Mutual inductance. 6M (b) Determine the self inductance of a co-axial cable of inner radius a and outer radius b. 6M (OR) 8. (a) (b) Derive an expression for Energy density in magnetic field. 6M 2 A rectangular coil of area 10 cm carrying current of 50 amps lies on plane 2x + 6y – 3z = 7. Such that the magnetic moment of coil is directed away from the origin. Calculate its magnetic moment. 6M UNIT – V 9. (a) (b) 10. (a) (b) 12 Marks Explain about Transformer and motional EMF and hence obtain the 2 equation. nd Maxwells 6M 2 A 30 cm rectangular loop rotates at 1.3 rad/sec in a magnetic field 0.06 wb/m normal to the axis of rotation. If the loop 6M (OR) State the Maxwells equations. Write the Maxwell equations in differential and Integral form. 8M A conductor with cross sectional area of 10 cm2 carries a conduction current 0.25 in 109 tmA. Given that 2.5 10 6 S/m and r 6 , Calculate the magnitude of the displacement current density. 4M -oOo- 2 of 2