# Mumbai University Previous year question papers

## Electromagnetic Engineering

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

(2) Attempt any four questions from the remaining questions.

(3) Assume any suitable data wherever necessary.

(4) Use of Smith chart is allowed.

1. (a) Explain parallel polarisation.

(b) What is intrinsic impedance of free space?

(c) Derive transmission line equation.

(d) Explain the concept of displacement current.

2. (a) Derive Maxwell’s equation in integral form. 10

(b) What is a uniform plane wave? Stating from Maxwell equation derive wave equation for free space.

3. (a) The electric field intensity associated with a plane wave travelling in a perfect dielectric medium is given by –

Ex (z, t) = 10 cos (2n x 107t – 0.1nx) vim

(i) What is velocity of propagation?

(ii) Write down an expression for magnetic field intensity associated with the wave if II = ~lo

(b) The net electric field at the boundary of two regions is L 0° vim. The region 2 is free space and properties of region 1 are  cr = 9 and llr = 1. Using the phase method, calculate EX1and HY1at d = 1 cm and d = 2 cm; if the wave frequency is 1250 MHz.

4. (a) Show the circuit representation of parallel plane transmission line and derive characteristic impedance.

(b) Show that a co-axial line having an outer conductor of radius ‘b’ is having a minimum attenuation when radius “a’ of inner conductor satisfies the ratio b/a = 3.6

5. (a) Explain potential functions for sinusoidal radiation oscillations. 10

(b) Match load impedance of ZL = 100 + j80 Q to a 50 Q line using a single series open circuited stub. Use Smith chart.

6. (a) Explain various types of electromagnetic interferences.

(b) State boundary condition in scalar and vector form.

7. (a) For electromagnetic wave prove that E x H = 0 and E x H is having the direction of propagation of the wave.

(b) If the characteristic impedance of the line is 50 Q and VSWR = e = 2; when the line is loaded. When the load is shorted, the minima shift is 0.15 X towards the load. Determine load impedance using Smith chart