# Mumbai University Previous year question papers

## Electromagnetic Engineering

N.S. (1) Question No.1 is compulsory.

(2) Attempt any four questions out of remainingsix.

(3) Figures to the right indicate full marks.

(4) Assumptions made should be clearly stated.

(S) Vector notation should be used whenever necessary.

(6) Use ‘of ‘Smith Chart’ is allowed.

1.(a) Derive Maxwell’s equations for ‘Time Varying Field’ in differentjal and integral forms. Using this result write equations for medium as ‘Good Conduc.t°r’ and ‘Good dielectric’ in differential and integral forms.

(b) Find the displacement current density next to your FM radio, in air, where the local FM station provides a carrier having.

H =0.2. cas [ 2.10 (3 x 108 t – x )] aAz

2.(a) ‘.obtain.the boundary conditions for the normal and tangential components of electric and magnetic fields using Maxwell’s equations.

(b) State ‘Poynting Theorem’, and derive the expression of ‘Instantaneous Poynting Vector’.

(c) . Write short note on ‘Polarization’.

3.(a) Obtain the expression for the field components of a transverse electric wave pr~pagating through rectangular waveguide.

(b) An air fille.!;f3r’ectangular~veguide of inside dimension 7 x 3.5 cm operates in the TE10mode.

(i) Find cl,1t-offJrequency

(ii)~ Determine guide phase constant of the.wave in waveguide at operating frequency of 3.5 GHz. .

(iii) Determine guide wavelength at the same operating frequency.

(iv) Find ‘Phase Velocity’ of the EM wave.

4.(a) Derive Helmholtz Equation for the E’14wave propagating in the conducting media. Using this result obtain the expression for attenuation and phase constant.

(b) Calculate the ocean depths at which 1 micro Volts/meter field will be obtain with E at the surface equal to 1 Volts/meter at frequencies 1 KHz, 10KHz, 100 KHz, 1000 KHz. What is’ the most suitable frequency for communication with submerged submarines?

Assume:- 0″= 4 S/m, Er = 80.

5.(a)For Free Space, prove that the value of ‘Intrinsic Impedance’ is equal to 37? .ohm. Derive the expressions for reflection and transmission co-efficients in the case of ‘wave reflection by a perfect dielectric-Nqrmal Incidance’.

(b) Determine the amplitudes of reflected and transmitted. E

z = O.

Given:- Incident Ej = 1.5 x 10-3Volts/m

Er1= 8.5, Ilr1 == 1, 0’1 ==o.

region ‘2’ is a free space.and H at interface of two regions at 6

6.(a) Derive an expression for the ‘characteristic impedance’ of the two wire transmission line

(b) Using Smith Chartfirid the input impedance to transmission line at a point (0.625 A) from the load impedance zioad == (75 j25) Q and characteristic impedance, Zo ==50 Q.A transr:nission line has :-
R== 2 Ohm/meter,

L ==8 nano Henry/m,

G ==0.5 mili mho/m,