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LOYOLA – ICAM COLLEGE OF ENGINEERING AND TECHNOLOGY (LICET) Loyola College Campus, Nungambakkam , Chennai – 34 Branch: EEE Semester: III Date: 10-10-2014 Time: 8.00 – 11.00 am (3 Hrs) Model Examination ELECTROMAGNETIC THEORY (EE630) Part-A (Answer all the questions) 1. Give the applications of Divergence of a vector. 2. Give the effect of electromagnetic fields on human beings. 3. What is Dielectric Strength? 4. Plot the electric field and equipotential surfaces in a parallel plate capacitor. 5. What is magnetization? 6. What are the steps to find the self inductance? 7. Differentiate Transformer and Motional emf with suitable examples. 8. What is the source of electromagnetic field? 9. Define and give the expression for velocity of an electromagnetic wave 10.Define Standing Wave Ratio (10x2=20) PART B (5*16=48) 11. a) i) Describe the classification of vector fields. (8) ⃗ ii) If B = yâx + (x + z)âand a point Q is located at (-2,6,3) express the point Q, vector B and y B at Q in cylindrical and spherical coordinate system. (8) (OR) ⃗⃗⃗ around b) State and prove Divergence Theorem also if𝐴 = 𝜌 cos 𝜑 𝑎̂𝜌 + sin 𝜑 𝑎̂𝜑 evaluate∮ 𝐴 ∙ 𝑑𝑙 the path L shown in Figure. Confirm using Stoke’s Theorem 12. a) i) A circular disc of radius of radius ‘a’ m is uniformly charged with a charge density of C/m2. Find the potential at ‘h’m from the disc surface along its axis. (8) ii) Deduce an expression for capacitance of a concentric cylinder capacitor having mixed dielectric media. (8) (OR) b) Discuss the electric field in dielectric and also derive the electric field in presence of multiple dielectrics. 13. a) Find the magnetic field intensity at any point at any point on the axis of a circular coil carrying current with loop radius ‘a’m and extend the same for finding the magnetic field intensity at the centre of a long solenoid. (OR) b) Derive expressions for i) Lorentz force ii) Force on a current element and ii) Force between two current elements. 14. a) i) Derive and explain Maxwell’s equations in point form and integral form using Faraday’s law and Ampere’s Circuital Law. (8) ii) Compare field theory and circuit theory. (8) (OR) b) Define and differentiate displacement current and conduction current and derive the same. Explain the need of displacement current in Maxwell’s equation 15 a) i) Derive and define Poynting vector. Mention its physical significance. (8) ii) Derive wave equation for electric field in frequency domain. (8) (OR) b) Explain the behaviour of plane waves in lossy, lossless dielectrics and in conductors and free space.