| ELECTROMAGNETIC FIELD THEORY |
| PAPER NO. 4 |
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| PUT ON: June 2, 2K3 |
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EC-208 ELECTROMAGNETIC FIELD THEORY (B.Tech 4th Semester, 2063) 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) State Guass's Law in electrostatics. (b) What is divergence theorm? (c) Maxwell's equations in differential form in free space. (d) What are the conditions of a plane wave ? (e) Derive the wave equation for electric field component of a plane wave. (f) Draw the electric and magnetic fields between parallel planes for the TE10 wave. (g) Why TEM waves cannot exist in the rectangular or circular wave-guide ? (h) What are the series impedence and shunt admittance of a parallel plane transmission line ? (i) Give the significance of α, β, γ for a transmission line. How are they related? (j) Using a sketch, represent the wave impedence of TE and TM waves between parallel conducting planes. Section-B Marks:5 Each 2. Thew square loop wire has corners at (0,0,0), (0.2,0,0), (0.2,0.2,0) and 0,0.2,0) at time t=0. The loop is perfectly conducting except for a small 100 ω resistor in one side. It is moving through the field B = 5 [cos ( 6 X 108t - 2x)azµT with a constant velocity vector of 40 ay m/s. Calculate the power being derived to the resistor as a function of time. 3. Write down Maxwell's field equations and explain their significance. Deduce the wave equation in time varying field for a lossless dielectric medium. 4. What are TE, TM and TEM mode waves? Outline the principle of operation of wave-guides. 5. Derive an expression for the inductance and capacitance per length of a parallel plane. 6. Show that the field configurations of the TEM0 wave between parallel planes can be obtained by superimposing two plane waves that are reflected back and forth between the walls of the guide. Section-C Marks : 10 Each 7. (a) Derive the equations for EM waves in conductive media. (b) What is surface wave? (c) Plane waves travelling in free space normally on a perfect conductor. Derive the expression for the field components in free space and also in the conductor. 8. Discuss low loss radio frequency and UHF transmission lines. Also deduce resistance and reactance of the terminating impedence of a UHF transmission line. 9. (a) Derive an expression for the attenuation factor for the TM10 wave between parallel conducting palnes. (b) Verify that the attenuation is a maximum at a frequency which is 3 times the cut-off frequency. |
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