| ELECTROMAGNETIC FIELD THEORY |
| PAPER NO. 1 |
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| PUT ON: Dec, 2K2 |
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IC-206 ELECTROMAGNETIC FIELD THEORY (B.Tech 4th Semester,2122) Time : 3 Hours Maximum Marks : 60 NOTE:- This paper consist of Three Sections. Section A is compulsory. Do any Four questions from Section B and any two questions from Section C Section-A Marks : 20 1(a) What the equation  j = 0 is called?(b) Write Poisson's equation for ρ = 0 in free space. (c) What is the relation between Displacement density 'D' and Electric field strength 'E'? (d) Write the Maxwell's Divergence equation in case of static electric field. (e) What are the boundary conditions at the interface between two dielectrics? (f) What is the intrinsic impedence of free space? (g) Write the Maxwell's second curl equation for electromagnetic field. (h) Give the units of Poynting vector. (i) A transmission line of length nλ/4 (n is an integer) is short circuited at far end. What will be its input impedence? (j) Give the expression for characteristics wave impedence. Section-B Marks:5 Each 2. Show that the capacitance of an isolated sphere of radious 'R' is 4π  oR.3. State and explain Biot-Savart Law. 4. Write Maxwell's equations and give brief explanation. 5. Prove the following for paralle polarization: Er/Ei = tan{(θ1 - θ2)/(θ1 + θ2)}, where Er = Electric field strength of reflected wave E = Electric field strength of incident wave θ1 = Angle between incident ray and normal θ2 = Angle between transmitted and normal 6. Verify the following: |V||I| cos θ = VreIre + VimIim = ReVI* |V||I| sin θ = VimIre - VreIim = IimVI* Section-C Marks : 10 Each 7. The plates shown in figure are 1 meter wide and very long. Estimate roughly the capacitance between them per metre length when θ = 10o and θ = 1800. The insulating hinge extends from r = 0 to r = 1 cm.  for X H in these co-ordinates.9. The electric field strength of a uniform plane EM wave in free space is 1 volt/metre. and the frequency is 300 MHz. If a very large thick flat copper plate is placed normal to the direction of wave propagation, determine: (a) The electric field strength at the surface of the plate. (b) The magnetic field strength at the surface of the plate. (c) The depth of penetration (d) The conduction current density at a distant of 0.01 mm below the surface. (e) The conduction current density at the surface. (f) The linear current density, Js (g) The surface impedence. (h) The power loss per square meter of surface area. For Copper use σ = 5.8 x 107, = v, µ = µv |