Wave Theory & Propagation - Dec 2013

Electronics & Telecomm. (Semester 4)

TOTAL MARKS: 80
TOTAL TIME: 3 HOURS (1) Question 1 is compulsory.
(2) Attempt any three from the remaining questions.
(3) Assume data if required.
(4) Figures to the right indicate full marks. 1(a) State and prove Gauss law.(5 marks) 1(b) What do you mean by method of images?(5 marks) 1(c) Expalin polarization for electromagnetic wave.(5 marks) 1(d) Define and explain vector Magnetic Potential.(5 marks) 2(a) Find out capacitance of spherical capacitor form by two concentric sphere of radius 'a' and 'b' where a<b.< a="">

</b.<></span>(10 marks) 2(b) Derive the expression for electric field intensity due to infinite surface charge.(10 marks) 3(a) Circular loop conductor carrying of 1Amp is placed in X-Y plane centred at origin.Find expression for a magnetic field intensity at any point on Z-axis.(10 marks) 3(b) Four like charges of 40μc each are placed at four corner of a square.the square diagonal is 12meter.Find force on 200μc charges located 5meters above the center of a square.(10 marks) 4(a) Define Poynting Vector and Explain each term in its integal form.(10 marks) 4(b) Write Differential form of Maxwell equation and explain the same.(10 marks) 5(a) Derive the wave equation for uniform plane wave in free space.(10 marks) 5(b) Derive Laplace and Poissons Equation.(10 marks) 6(a) State and explain Uniqueness Theorem.(10 marks) 6(b) state and explain Strokes Theorem and Biot-severts law.(10 marks) 7(a) Derive Boundary condition for Electrostatic and magneto statics.(10 marks) 7(b) Describes Reflection of uniform plane wave.(10 marks)