Birla Institute of Technology & Science, Pilani – K.K.
Birla Goa Campus
                                        I Semester 2018-2019
                             EEE F433 Electromagnetic Fields and Waves
                             Comprehensive Exam Regular (Closed Book)
 Date:-01-12-2018                         Max Time: 3hr                              Max. Marks: 80
                                 Part A- Max. Time 1 hour, Max. Marks 30
Instructions –
1. Part A consists of 7 short answer type questions. This part is to be answered in first 1 hour.
2. A separate answer sheet is provided for Part A. Any rough work may be done on the supplementary sheet.
3. Part B is to be answered on the main answer booklet.
4. Overwritten answers will not be rechecked.
Q. 1   A rectangular waveguide carries an electromagnetic wave having a frequency of 4000 MHz and a
       standing wave indicator shows that the wavelength of the wave in the guide is 11.4 cm. what is (a) The
       cut-off wavelength and (b) The velocity at which energy is propagated along the guide?                 4
Q. 2   A 6 GHz signal is to be propagated in the dominant mode in a rectangular waveguide. If its group
       velocity is 90% of the free space velocity of light, what must be the breadth of the waveguide?  2
Q. 3   A uniform plane wave in air is normally incident onto a lossless dielectric plate of thickness λ/8 and of
       intrinsic impedance η = 260 Ω.
            (a) Determine standing wave ratio in front of the plate
            (b) Fraction of the incident power transmitted to the other side of the plate.                         4
Q. 4   A Lossy material have µ = 5µ0 and ε = 2ε0. If at 5 MHz, the phase constant is 10 rad/m. Calculate
          (a) The loss tangent
          (b) The conductivity of the material
          (c) Attenuation Constant
          (d) Intrinsic impedance                                                                                  8
Q. 5   A short vertical grounded antenna is designed to radiate at 1 MHz. Calculate the radiation resistance, if
       the effective height of the antenna is 30 metres?                                                           2
Q. 6   In a material for which conductivity is 5 Siemen/m, εr=1 and electric field intensity is E = 250 sin 1010 t
       V/m. Calculate
           (a) Conduction current density
           (b) Displacement Current density.
           (c) The frequency at which Conduction current and Displacement Current densities have equal
               magnitudes.                                                                                         6
Q. 7   (a) At what frequency the wave impedance of the wave inside a waveguide will be equal to η(Intrinsic
       impedance of free space)
       (b) Consider a rectangular waveguide having cutoff at 2 GHz. A TM z wave is launched inside the 4
       waveguide at 2 GHz.Will wave propagate inside waveguide?